sample calculations to australian standard as1170 for design loads for a post to a barrier
TRANSCRIPT
-
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
1/24
1/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
BARRIERS
AS1657:1992 Fixed platforms, walkways, stairways and ladders - Design, construction and installation.
Appendix C: Testing of guard rails
Fig 1: Post Test Fig 2: Rail Test
1 Testing of posts, only considers the point load requirement for guardrailing, therefore reaction from UDL on top rail is ignored.2
3
Constraint on residual deflection for handrail: L/90 from vectorial combination of horizontal and vertical loading.
ADOPT: Similar deflection constraint at top of post. [eg. load applied to handrail at post]
Types of post:
1) End Post {one incoming handrail}
2) Intermediate Post {incoming handrails to both sides}
3) Corner Post {two incoming handrails at 90 to each other on plan.}
Issues
1 Handrail can be loaded along entire length
2 Handrail can be pattern loaded
3 Configuration of a given installation unknown
4 System to be designed to cater for variety of installations
5 Handrail deflects horizontally and so does post (compatibility of deflections)
6 Vertical deflection of posts assumed negligible
7 Constraints on horizontal deflections are taken to be at point of applied load. (eg. handrail/guardrail level)
8 Structural sections not symmetrical about vertical or horizontal axes.
9 Outwards loads expected to be greater than inwards loads for barrier placed at edge of floor.
sample
Since the loads used for the tests are unfactored they are here taken to be serviceability loads with psi[s]=1, and therefore the residualdeflection limit is a serviceability criteria.
20/11/2013
Testing of guardrail only two posts are used, therefore UDL along handrail not considered to be on adjacent spans at the same time.
Testing typically by application of point load, therefore UDL replaced by point load producing equivalent bending moment in the rail.
When testing Posts it is permitted to have three posts with railings between, test load is to be applied to end post {Not as shown in Fig
B1 (AS1657)}
No magnification of the prescribed nominal loads for testing purposes, but does place constraints on residual deflection of handrails
after test load removed. No acceptance criteria is provided for posts.
These residual deflections are difficult to determine by calculation, since most design theory is based on linear elastic properties of
materials, rather than non-linear plastic properties. However from a calculation viewpoint the deflection under load has to be greater
than or equal to the residual.
End PostIntermediate Post
Handrail attached
to adjacent
structure.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
2/24
2/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
Balustrades Rail Height 1800 mm
Primary purpose, protect people falling from a free edge to a floor below.AS1657-1992 Distinguishes between guardrail and handrail
900 height 1100 (top rail) 3.4.1 (a) WARNING: Rail too high to function as guardrail
800 height 1000 (hand rail) 4.6.2 WARNING: Rail too high for convenience as handrail
BCA D2.16 Balustrades and Other Barriers
865 height (stairs & ramps)
1000 height (else where)
865 height (adjacent openable window)
D2.17 Handrails
865 height (no upper limit provided)
665 height 750 (additional hand rail: primary school)
{BCA appears to permit handrail installed higher than would be of practical use}}
AS1428.1 Design for Access and Mobility
6 Handrails and Grabrails
865 height 1000 (hand rail) WARNING: Rail too high for convenience as handrail
Barriers versus: Partitions, Walls, Doors, Windows, Balustrades, Guard Rails, Hand rails, Grab RailsCodes provide no real guidance regarding classification of a structure as a barrier or a wall.
AS1170.1 specifies barrier loadings to the top edge of the barrier: this doesn't always make sense.
A1 When does a full height glass panel become a wall of light weight construction ? {BCA: Specification C1.8: LL=0.25kPa}
A2 When does a plasterboard on stud wall framing become a barrier ? {BCA: Specification C1.8: LL=0.25kPa}
A3 When does a cantilever brick wall become a barrier?
B1
B2 A guardrail has to have a maximum height so that people cannot pass under it.
B3 A barrier that is not a simple rail, does not need a maximum limit on its functional height, only a lower limit.
B4 Guardrails and handrails may or may not be one and the same component of a barrier system.
B5
B6
B7 People can typically push with more force than they can pull.
B8
{NB: AS1170.1 does not identify imposed loads for vertical surfaces or plate elements. AS1170.0 identifies a need for
robustness, and gives requirements for minimum lateral resistance, but this is based on gravity loads bearing on the
structural element. No consideration of a direct lateral load to face of vertical element.}
A barrier has to have a minimum height to minimise chances of a person toppling over the barrier. {This would be related to
the centre of gravity (COG) of a human body, this varies with position (standing, sitting, leaning etc...). When standing, COG
People may be pushing against a barrier at either shoulder or waist height. Such height maybe lower than the top edge of a
barrier.
People can only pull horizontally against a barrier, which is within reach of their arms. The higher the reach to the barrier top
edge, the lower the lateral pull which can be exerted.
A barrier guarding a floor edge cannot be loaded from either direction with equal loading, compared to barrier accessible from
both directions used to control flow of traffic.
Applying barrier loads to top edge of barrier is not sensible in all cases. Such position does not always match thelocation where load is likley to be experienced by the barrier: irrespective of whether the barrier is cantilevered
framing or a plate, or a simply supported panel.
For current situation, adopt the handrail as a guardrail. The glazing behind is therefore only an infill panel and not the
principal restraining element. The top edge loading therefore is only applied at the height of the handrail/guardrail and
not the top edge of the glazing. The glazing only experiences inf ill loads.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
3/24
3/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
BARRIERS
Design Loads AS1170.1:2002 3.6 Barriers
Type of Occupancy for part of the building or structure A 4 A1
Domestic and Residential activities
Nominal Unfactored Loads
Top Edge Horizontal 0.35 kN/m Vertical 0.35 kN/m Inwards/OutWards/Downwards 0.60 kN
InFill Horizontal 0.50 kN/m = kPa Any Direction 0.25 kN
Maximum Serviceability deflection: AS1170.1 Supp 1:2002 C3.6 != h/60 +L/240 recommended
h = height of post L = span of handrail = spacing of posts
BALUSTRADE Limits of Deflection
Rail Span 1500 mm Rail height = 1800 mm
Design Load Factors: DLF[Q] = psi[u] = 1.5 DLF[serv] = psi[s] = 1 DLF[DL,u] = 1.2
DLF[DL,s] = 1
Serviceability Deflection Limit
h/60 = 36.3
l/240 = 18.1
!= h/60 +l/240 = 36.3 mm Top edge at any location {commentary to AS1170}
!R = !/2 = 18.13 mm Rail at midpsan, when loaded at midspan
Residual Deflection Permitted by AS1657
Residual L/90 = 16.7 mm Handrail at midspan {combined vertical & horizontal loading effects}Residual L/127 11.8 mm Handrail at midspan {max. for individual load case}
NB: The maximum residual for individual loadcase is assuming, a symmetrical section, and equal loads applied in each direction.
Deflection constraints imposing by glazing code
simple span L/60 = 25 mm but less than 30 mm AS1288 3.3.3 & Table 7.2, 7.3
!G1 = 25 mm
cantilever h/30 = 60 mm but less than 30 mm AS1288 3.3.3 & Table 7.1
!G2 = 30 mm
Coefficients for beam deflection formulae
deflection Coeff' = 5/384 = 0.013 deflection Coeff' = 1/48 = 0.021
All areas within or serving exclusively one dwelling including stairs, landings, etc. but excluding
external balconies and edges roofs (see C3)
The barrier could be a wall or plate type structure, so no posts and guardrails to refer to. Therefore h/60 is not taken to be a limit on
post, with l/240 for rail. If a post is taken in isolation, and permitted to deflect the full deflection !, then the rail taken in isolation cannot
be permitted to deflect by the full amount !. The post will experience half the full load, and therefore expect it to contribute !/2 to the
total deflection of the system. Therefore the rail taken in isolation can only be permitted to deflect by a maximum of !/2. If the rail is
permitted to deflect the full !, then the post cannot be permitted to deflect at all: such is impractical.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
4/24
4/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
ASSESSMENT OF DESIGN WIND SPEED
Site Address : Description:Proposed Balustrade Residential Suburban TC3
Region A1 Zero shielding NS
Terrain Cat 3 Topography T1
Building Risk Assessment Average Building Height = h[avg] = h = 45.0 m (max.)Building Code of Australia (BCA) Part B1 Structural Provisions
STRUCTURAL CATEGORY Importance Level 2 {Normal} Table B1.2a
Annual probability of Design Wind Event being exceeded for Strength 1/500 = 0.002 R = Mean Return Period 500
Serviceability 1/20 = 0.05 R = Mean Return Period 20
ASSESSMENT OF SITE AND BUILDING HEIGHT AS1170.2:2002
Major Region A SubRegion 1 Region A1 Non-Cyclonic
sensitivity {static analysis acceptable} C[dyn] 1 46/ht = 1.02
Use Directional Wind Speeds
N NE E SE S SW W NW
0 45 90 135 180 225 270 315 degreesTcat 4 4 4 4 4 4 4 4
V[R,u] = 45 45 45 45 45 45 45 45 m/s
M[d] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[z,cat] = 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88
M[s] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[t] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[z,cat].M[s].M[t] = 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88
V[sit,,u] = 39.38 39.38 39.38 39.38 39.38 39.38 39.38 39.38 m/s
Maximum Expected wind speed at SITE for strength limit state = [sit,,u] = 39.38 m/s relative to building
V[R,s] = 37 V[R,s]/V[R,u] 0.82 (Vs/Vu)^2 = 0.68
ASSESSMENT OF BUILDING ORIENTATION AlternateValue 360
Bearing of Northern Most Face 0 (degrees f rom North, less than 90) Orientation Treated as Unknown 1
Building Face 1 2 3 4
Face Bearing 0 90.0 180 270 degrees
Sector Bdry 0 0 0 0 0 0 0 0 degrees
V[sector] = 39.38 39.38 39.38 39.38 m/s
0 90 180 270 degreesV[des,,u] = 39.38 39.38 39.38 39.38 m/s
q[ref] = 0.93 0.93 0.93 0.93 kPa
q[ref] = (0.5[air] ) V[des,,u]
Strength Limit State Design
simplified to two orthogonal directions:
V[des,0,u] = 39.38 m/s
V[des,90,u] = 39.38 m/s
qz0 = 0.93 kPa 0.00
qz90 = 0.93 kPa
Maximum Design wind speed for Building for strength limit state = [des,,u] = 39.38 m/s Vp = 32.1
Classification of Wind Loading To AS4055:
Upper wind Class N2 WP33, WU40 Lower wind Class N1 WP28, WU34NB: The Lower wind class is only relevant for pre-engineered structures designed to the AS1170 wind speed calculated above, and is therefore
designed to a lower wind speed than the AS4055 classification of the site would require: the upper wind class shown above. (eg. An AS4055
classified N2 building is not suitable for a N3 site. But the AS1170 designed building is suitable for the AS1170 assessed site.)
FALSE
V[site] to V[design]
0.00
10.00
20.00
30.00
40.00
50.00
60.00
0 45 90 135 180 225 270 315 360
Site Design
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
45m reference height keepswind loading for building withinscope of static analysis. Withhigh imposed barrierpressures on infill, wind loadseldom critical.
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
5/24
5/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
Balustrade Infill NB: Design of Infill by Others.
Panel Height = c = 1800 mm Panel Length = b = 1500 mm Area 2.7 m b/c = 0.833
Height to Top of Panel = h = 1800 mm Length of Wing forming corner 0 mm isCorner 0 c/h = 1
Imposed
Point Load PL = 0.25 kN
Uniformly DistributedLoad (UDL) p = 0.50 kPa W = 1.35 kN
Wind Pressure coefficients taken for freestanding hoardings and walls e
Cpe0 = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN 0
Cpe45 = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN dwe= 0 300
Cpe90 = 1.00 qz= 0.93 kPa p= 0.93 kPa W = 2.5 kN dwe= 0 0
Cpe[max] = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN
1 Infill considered to be a single span plate element.
2 Infill spans between posts only.
3 Loads not taken in combination
4 Eccentricity of wind load only considered important for single isolated panel: little relevance for continuous panel.
5
Loads Distributed to Posts Load Width = 1.500 m Internal Post: Rails Both SidesPer metre height of post
0 Assuming load to panels either side of post
by psi_u=1.5
imposed P 0.25 kN 0.14 kN/m 0.21
w 0.75 kN/m 1.13
max: 0.75 kN/m {NB: Imposed to be multiplied by 1.5} 1.13
LoadWidth = 1.5 m Internal Post: Rails Both Sides Assuming wind load to panels either side of post.
wind w 1.78 kN/m {NB: calculated ignoring eccentricity}
M1 = wL^2/2 ; M2 = PL if M1 = M2 then L = 2P/w
Post Height: H = 1.009 m
Panel Width: L = 0.841 m
L = 1.333 m
Cfig = Cpn.Kp Kl and Ka do not appear as taken to be equal to 1. AS1190.2 D2.1
NB: Ignores wind buffeting and turbulence which maybe experienced at the top of a tall building. Largely beyond scope of wind
loading code and requires testing, to assess fatigue resistance of glazing.
wind load to infill controls over direct point load to post: for given
panel width.
Imposed load to infill controls over direct point load to post: for given
post height.
NB: Depending on the location of the balustrade within the building, it may be considered as similar to an external wall surface and
subject to local pressure magnification. Such however not considered a realistic model of the wind action on the free edge at top of
plate. The balustrade may be considered as a parapet, but AS1170.2 only partially considers the turbulence and potential stagnation
of airflow behind a parapet wall. Further balustrades are typically vented near floor level {though should be some adjacent kerb or
kickplate}. Therefore pressure coefficients for free standing walls considered most appropriate.
Wind load to infill controls over direct point load to post: for given
post height.
Balustrades typically do not have free edges. Balustrade typically flush with wall of building or has a return wing, and the wing
intersects the building wall.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
6/24
6/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
STANCHIONSTANCHION {typical internal}
LOADS AS1170.1
Stanchion LoadW idth 1500 mm {length of rail contributing to total load on post} Load Height 1800 mm
Nominal Unfactored loading: Q Equivalent Point Load at Post
Horizontal 0.35 kN/m 0.53 kN {reaction: loading on both sides}
Vertical 0.35 kN/m 0.53 kN {reaction: loading on both sides}
Inwards/OutWards or Downwards 0.60 kN 0.60 kN {direct}
NB: UDL's are applied to handrail, both sides of post. {eg. intermediate or internal post}
Rail span at which reaction from rail controls 1.714 m 0.60 kN Base Moment 1.08 kNm
Vertical Loading
NB: Axial buckling capacity of post not considered critical. Therefore not checked.
Horizontal Loading {typically Ixx}
Load kPa kN/m kN BM[kNm] Reactions [kN]
1 LL 0.53 Ph = 0.95 0.53
2 PL 0.60 Ph = 1.08 0.60
3 Infill (imposed) 0.75 1.35 wh/2 = 1.22 1.35
4 Infill (wind) 1.78 3.21 wh/2 = 2.89 3.21
STRENGTH {Ixx}
Design Bending Moments BM[kNm] Reactions [kN]
Case 1: 1.5LL 1.42 0.79
Case 2: 1.5PL 1.62 0.90
Case 3: 1.5 Infill (imposed) 1.82 2.03
1 ase 4: 1.0 Infill (wind) 2.89 3.21
max 2.89 max 3.21
equivalent Point Load at top of post = M/h = 1.60 kN
SERVICEABILITY {Ixx}
Design Bending Moments BM[kNm] Reactions [kN]
Case 1:1.0LL 0.95 0.53
Case 2:1.0PL 1.08 0.60
Case 3:1.0 Infill (imposed) 1.22
0.68 Case 4:0.7 Infill (wind) 1.95
max 1.95
equivalent Point Load at top of post = M/h = 1.08 kN
NB: Base Moments generated by loads on infill panels, are based on the maximum of the post height and the panel height
NB: Load height for top edge loads are limited to 1100mm, the maximum height in AS1657 for a functional guard rail.
NB: Not all situations require a hand rail, but it may be advisable to provide a guard rail or chair rail.
NB: To function has both hand rail and guard rail, the rail needs to be between 900mm and 1000mm high. If lower it will not function
as a guard rail, if higher it will not serve as a hand rail.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
7/24
7/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
ULTIMATE STRENGTH"Msx = 3.97 kNm
STANCHION: BENDING MOMENT VARIATION WITH HEIGHT
Table 1.1 Bending Moments inc 0.09 m
Height H 1.800 1.800 1.800 1.800 m
load w 1.13 1.78 kN/m
P 0.79 0.90 kN
Maxima 1.42 1.62 1.82 2.89 kNm Max: 2.89 kNm
point x Case 1: Case 2 C ase 3: Case 4: Load Case 4 Case4BM
0 0.000 1.42 1.62 1.82 2.89 Reinforcement Length #N/A mm Table row #N/A
1 0.090 1.35 1.54 1.64 2.61 NB: Loads typically applied at guard rail height.
2 0.180 1.28 1.46 1.48 2.34 Infill loads may extend above guard rail height
3 0.270 1.20 1.38 1.32 2.09
4 0.360 1.13 1.30 1.17 1.85
5 0.450 1.06 1.22 1.03 1.62
6 0.540 0.99 1.13 0.89 1.42
7 0.630 0.92 1.05 0.77 1.22
8 0.720 0.85 0.97 0.66 1.04
9 0.810 0.78 0.89 0.55 0.87
10 0.900 0.71 0.81 0.46 0.72
11 0.990 0.64 0.73 0.37 0.58
12 1.080 0.57 0.65 0.29 0.46
13 1.170 0.50 0.57 0.22 0.35
14 1.260 0.43 0.49 0.16 0.26
15 1.350 0.35 0.41 0.11 0.18
16 1.440 0.28 0.32 0.07 0.12
17 1.530 0.21 0.24 0.04 0.06
18 1.620 0.14 0.16 0.02 0.03
19 1.710 0.07 0.08 0.00 0.0120 1.800 0.00 0.00 0.00 0.00
65x65x2.0SHS Duragal C450LO
Stanchion Bending Moment
0.000
0.200
0.400
0.600
0.800
1.000
1.200
1.400
1.600
1.800
2.000
0.00 1.00 2.00 3.00 4.00
Bending Moment [kNm]
Height[m] Case 1:
Case 2:
Case 3:
Case 4:
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
To avoid welding of aluminium tubes,steel spigots are typically inserted toform a connection. If these spigots arestronger than the tube, then they canbe extended to strengthen or reinforcethe tube. If the tube is strong enoughin its own right then the length ofreinforcement is not applicable (#N/A).
When the strength of the spigot is lessthan the post then the spigot controlsthe height and spacing of posts for a
given load.
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
8/24
8/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
DEFLECTIONS
65x65x2.0SHS Duragal C450LOE 2E+05 MPa = N/mm Ixx mm^4 E.Ixx = Nmm^2 #[sL] 1
Table 1.2 : Deflections (serviceability) k = 3EI/L = N/mm x = F/k
load w 0.75 1.78 kN/m = N/mm
P 0.53 0.60 kN
Maxima 15.80 18.06 15.23 36.22 mm
0 x[mm] Case 1: Case 2 Case 3: Case 4:
0 0 0.00 0.00 0.00 0.00 NB: Deflection is for post only
1 90 0.06 0.07 0.07 0.18 Deflections not modified for heights above, load.
2 180 0.23 0.26 0.28 0.68
3 270 0.51 0.58 0.62 1.47
4 360 0.88 1.01 1.06 2.53 isUseTest 0
5 450 1.36 1.55 1.61 3.82 E.Ixx[calc] Nmm^2
6 540 1.92 2.19 2.23 5.31 E.Ixx[test] Nmm^2
7 630 2.56 2.93 2.94 6.98
8 720 3.29 3.76 3.71 8.81
9 810 4.08 4.66 4.53 10.76 Maximum Recommended: 36.3 mm
10 900 4.94 5.64 5.40 12.83 Maximum Calculated: 36.2 mm
11 990 5.85 6.69 6.30 14.98 ok!
12 1080 6.83 7.80 7.24 17.21
13 1170 7.84 8.96 8.20 19.50
14 1260 8.90 10.17 9.18 21.83
15 1350 10.00 11.43 10.18 24.19
16 1440 11.12 12.71 11.18 26.58
17 1530 12.27 14.02 12.19 28.98
18 1620 13.44 15.36 13.20 31.39
19 1710 14.61 16.70 14.22 33.81
20 1800 15.80 18.06 15.23 36.22
NB: Deflections exaggerated relative to height
6.4600E+10
3.2300E+05 6.4600E+10
33.2
Stanchion Deflection
0
200
400
600
800
1000
1200
1400
1600
1800
2000
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00
Deflection [mm]
Height[mm]
Case 1:
Case 2:Case 3:
Case 4:
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 01
NB: Deflections are moredependent on the stiffness ofthe connection, rather than thestiffness of the post. And reallyneeds to be determinined bytesting.
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
9/24
1/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
BARRIERS
AS1657:1992 Fixed platforms, walkways, stairways and ladders - Design, construction and installation.
Appendix C: Testing of guard rails
Fig 1: Post Test Fig 2: Rail Test
1 Testing of posts, only considers the point load requirement for guardrailing, therefore reaction from UDL on top rail is ignored.2
3
Constraint on residual deflection for handrail: L/90 from vectorial combination of horizontal and vertical loading.
ADOPT: Similar deflection constraint at top of post. [eg. load applied to handrail at post]
Types of post:
1) End Post {one incoming handrail}
2) Intermediate Post {incoming handrails to both sides}
3) Corner Post {two incoming handrails at 90 to each other on plan.}
Issues
1 Handrail can be loaded along entire length
2 Handrail can be pattern loaded
3 Configuration of a given installation unknown
4 System to be designed to cater for variety of installations
5 Handrail deflects horizontally and so does post (compatibility of deflections)
6 Vertical deflection of posts assumed negligible
7 Constraints on horizontal deflections are taken to be at point of applied load. (eg. handrail/guardrail level)
8 Structural sections not symmetrical about vertical or horizontal axes.
9 Outwards loads expected to be greater than inwards loads for barrier placed at edge of floor.
sample
Since the loads used for the tests are unfactored they are here taken to be serviceability loads with psi[s]=1, and therefore the residualdeflection limit is a serviceability criteria.
20/11/2013
Testing of guardrail only two posts are used, therefore UDL along handrail not considered to be on adjacent spans at the same time.
Testing typically by application of point load, therefore UDL replaced by point load producing equivalent bending moment in the rail.
When testing Posts it is permitted to have three posts with railings between, test load is to be applied to end post {Not as shown in Fig
B1 (AS1657)}
No magnification of the prescribed nominal loads for testing purposes, but does place constraints on residual deflection of handrails
after test load removed. No acceptance criteria is provided for posts.
These residual deflections are difficult to determine by calculation, since most design theory is based on linear elastic properties of
materials, rather than non-linear plastic properties. However from a calculation viewpoint the deflection under load has to be greater
than or equal to the residual.
End PostIntermediate Post
Handrail attached
to adjacent
structure.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
10/24
2/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
Balustrades Rail Height 1800 mm
Primary purpose, protect people falling from a free edge to a floor below.AS1657-1992 Distinguishes between guardrail and handrail
900 height 1100 (top rail) 3.4.1 (a) WARNING: Rail too high to function as guardrail
800 height 1000 (hand rail) 4.6.2 WARNING: Rail too high for convenience as handrail
BCA D2.16 Balustrades and Other Barriers
865 height (stairs & ramps)
1000 height (else where)
865 height (adjacent openable window)
D2.17 Handrails
865 height (no upper limit provided)
665 height 750 (additional hand rail: primary school)
{BCA appears to permit handrail installed higher than would be of practical use}}
AS1428.1 Design for Access and Mobility
6 Handrails and Grabrails
865 height 1000 (hand rail) WARNING: Rail too high for convenience as handrail
Barriers versus: Partitions, Walls, Doors, Windows, Balustrades, Guard Rails, Hand rails, Grab RailsCodes provide no real guidance regarding classification of a structure as a barrier or a wall.
AS1170.1 specifies barrier loadings to the top edge of the barrier: this doesn't always make sense.
A1 When does a full height glass panel become a wall of light weight construction ? {BCA: Specification C1.8: LL=0.25kPa}
A2 When does a plasterboard on stud wall framing become a barrier ? {BCA: Specification C1.8: LL=0.25kPa}
A3 When does a cantilever brick wall become a barrier?
B1
B2 A guardrail has to have a maximum height so that people cannot pass under it.
B3 A barrier that is not a simple rail, does not need a maximum limit on its functional height, only a lower limit.
B4 Guardrails and handrails may or may not be one and the same component of a barrier system.
B5
B6
B7 People can typically push with more force than they can pull.
B8
{NB: AS1170.1 does not identify imposed loads for vertical surfaces or plate elements. AS1170.0 identifies a need for
robustness, and gives requirements for minimum lateral resistance, but this is based on gravity loads bearing on the
structural element. No consideration of a direct lateral load to face of vertical element.}
A barrier has to have a minimum height to minimise chances of a person toppling over the barrier. {This would be related to
the centre of gravity (COG) of a human body, this varies with position (standing, sitting, leaning etc...). When standing, COG
People may be pushing against a barrier at either shoulder or waist height. Such height maybe lower than the top edge of a
barrier.
People can only pull horizontally against a barrier, which is within reach of their arms. The higher the reach to the barrier top
edge, the lower the lateral pull which can be exerted.
A barrier guarding a floor edge cannot be loaded from either direction with equal loading, compared to barrier accessible from
both directions used to control flow of traffic.
Applying barrier loads to top edge of barrier is not sensible in all cases. Such position does not always match thelocation where load is likley to be experienced by the barrier: irrespective of whether the barrier is cantilevered
framing or a plate, or a simply supported panel.
For current situation, adopt the handrail as a guardrail. The glazing behind is therefore only an infill panel and not the
principal restraining element. The top edge loading therefore is only applied at the height of the handrail/guardrail and
not the top edge of the glazing. The glazing only experiences inf ill loads.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
11/24
3/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
BARRIERS
Design Loads AS1170.1:2002 3.6 Barriers
Type of Occupancy for part of the building or structure C3 10 C3
Areas without obstacles for moving people and not susceptible to over-crowding
Nominal Unfactored Loads
Top Edge Horizontal 0.75 kN/m Vertical 0.75 kN/m Inwards/OutWards/Downwards 0.60 kN
InFill Horizontal 1.00 kN/m = kPa Any Direction 0.50 kN
Maximum Serviceability deflection: AS1170.1 Supp 1:2002 C3.6 != h/60 +L/240 recommended
h = height of post L = span of handrail = spacing of posts
BALUSTRADE Limits of Deflection
Rail Span 1500 mm Rail height = 1800 mm
Design Load Factors: DLF[Q] = psi[u] = 1.5 DLF[serv] = psi[s] = 1 DLF[DL,u] = 1.2
DLF[DL,s] = 1
Serviceability Deflection Limit
h/60 = 36.3
l/240 = 18.1
!= h/60 +l/240 = 36.3 mm Top edge at any location {commentary to AS1170}
!R = !/2 = 18.13 mm Rail at midpsan, when loaded at midspan
Residual Deflection Permitted by AS1657
Residual L/90 = 16.7 mm Handrail at midspan {combined vertical & horizontal loading effects}Residual L/127 11.8 mm Handrail at midspan {max. for individual load case}
NB: The maximum residual for individual loadcase is assuming, a symmetrical section, and equal loads applied in each direction.
Deflection constraints imposing by glazing code
simple span L/60 = 25 mm but less than 30 mm AS1288 3.3.3 & Table 7.2, 7.3
!G1 = 25 mm
cantilever h/30 = 60 mm but less than 30 mm AS1288 3.3.3 & Table 7.1
!G2 = 30 mm
Coefficients for beam deflection formulae
deflection Coeff' = 5/384 = 0.013 deflection Coeff' = 1/48 = 0.021
Stairs, landings, external balconies, edges of roofs, etc.
The barrier could be a wall or plate type structure, so no posts and guardrails to refer to. Therefore h/60 is not taken to be a limit on
post, with l/240 for rail. If a post is taken in isolation, and permitted to deflect the full deflection !, then the rail taken in isolation cannot
be permitted to deflect by the full amount !. The post will experience half the full load, and therefore expect it to contribute !/2 to the
total deflection of the system. Therefore the rail taken in isolation can only be permitted to deflect by a maximum of !/2. If the rail is
permitted to deflect the full !, then the post cannot be permitted to deflect at all: such is impractical.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
12/24
4/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
ASSESSMENT OF DESIGN WIND SPEED
Site Address : Description:Proposed Balustrade Residential Suburban TC3
Region A1 Zero shielding NS
Terrain Cat 3 Topography T1
Building Risk Assessment Average Building Height = h[avg] = h = 45.0 m (max.)Building Code of Australia (BCA) Part B1 Structural Provisions
STRUCTURAL CATEGORY Importance Level 2 {Normal} Table B1.2a
Annual probability of Design Wind Event being exceeded for Strength 1/500 = 0.002 R = Mean Return Period 500
Serviceability 1/20 = 0.05 R = Mean Return Period 20
ASSESSMENT OF SITE AND BUILDING HEIGHT AS1170.2:2002
Major Region A SubRegion 1 Region A1 Non-Cyclonic
sensitivity {static analysis acceptable} C[dyn] 1 46/ht = 1.02
Use Directional Wind Speeds
N NE E SE S SW W NW
0 45 90 135 180 225 270 315 degreesTcat 4 4 4 4 4 4 4 4
V[R,u] = 45 45 45 45 45 45 45 45 m/s
M[d] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[z,cat] = 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88
M[s] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[t] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[z,cat].M[s].M[t] = 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88
V[sit,,u] = 39.38 39.38 39.38 39.38 39.38 39.38 39.38 39.38 m/s
Maximum Expected wind speed at SITE for strength limit state = [sit,,u] = 39.38 m/s relative to building
V[R,s] = 37 V[R,s]/V[R,u] 0.82 (Vs/Vu)^2 = 0.68
ASSESSMENT OF BUILDING ORIENTATION AlternateValue 360
Bearing of Northern Most Face 0 (degrees f rom North, less than 90) Orientation Treated as Unknown 1
Building Face 1 2 3 4
Face Bearing 0 90.0 180 270 degrees
Sector Bdry 0 0 0 0 0 0 0 0 degrees
V[sector] = 39.38 39.38 39.38 39.38 m/s
0 90 180 270 degreesV[des,,u] = 39.38 39.38 39.38 39.38 m/s
q[ref] = 0.93 0.93 0.93 0.93 kPa
q[ref] = (0.5[air] ) V[des,,u]
Strength Limit State Design
simplified to two orthogonal directions:
V[des,0,u] = 39.38 m/s
V[des,90,u] = 39.38 m/s
qz0 = 0.93 kPa 0.00
qz90 = 0.93 kPa
Maximum Design wind speed for Building for strength limit state = [des,,u] = 39.38 m/s Vp = 32.1
Classification of Wind Loading To AS4055:
Upper wind Class N2 WP33, WU40 Lower wind Class N1 WP28, WU34NB: The Lower wind class is only relevant for pre-engineered structures designed to the AS1170 wind speed calculated above, and is therefore
designed to a lower wind speed than the AS4055 classification of the site would require: the upper wind class shown above. (eg. An AS4055
classified N2 building is not suitable for a N3 site. But the AS1170 designed building is suitable for the AS1170 assessed site.)
FALSE
V[site] to V[design]
0.00
10.00
20.00
30.00
40.00
50.00
60.00
0 45 90 135 180 225 270 315 360
Site Design
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
13/24
5/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
Balustrade Infill NB: Design of Infill by Others.
Panel Height = c = 1800 mm Panel Length = b = 1500 mm Area 2.7 m b/c = 0.833
Height to Top of Panel = h = 1800 mm Length of Wing forming corner 0 mm isCorner 0 c/h = 1
Imposed
Point Load PL = 0.50 kN
Uniformly DistributedLoad (UDL) p = 1.00 kPa W = 2.7 kN
Wind Pressure coefficients taken for freestanding hoardings and walls e
Cpe0 = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN 0
Cpe45 = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN dwe= 0 300
Cpe90 = 1.00 qz= 0.93 kPa p= 0.93 kPa W = 2.5 kN dwe= 0 0
Cpe[max] = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN
1 Infill considered to be a single span plate element.
2 Infill spans between posts only.
3 Loads not taken in combination
4 Eccentricity of wind load only considered important for single isolated panel: little relevance for continuous panel.
5
Loads Distributed to Posts Load Width = 1.500 m Internal Post: Rails Both SidesPer metre height of post
0 Assuming load to panels either side of post
by psi_u=1.5
imposed P 0.50 kN 0.28 kN/m 0.42
w 1.50 kN/m 2.25
max: 1.50 kN/m {NB: Imposed to be multiplied by 1.5} 2.25
LoadWidth = 1.5 m Internal Post: Rails Both Sides Assuming wind load to panels either side of post.
wind w 1.78 kN/m {NB: calculated ignoring eccentricity}
M1 = wL^2/2 ; M2 = PL if M1 = M2 then L = 2P/w
Post Height: H = 1.009 m
Panel Width: L = 0.841 m
L = 0.667 m
Cfig = Cpn.Kp Kl and Ka do not appear as taken to be equal to 1. AS1190.2 D2.1
NB: Ignores wind buffeting and turbulence which maybe experienced at the top of a tall building. Largely beyond scope of wind
loading code and requires testing, to assess fatigue resistance of glazing.
wind load to infill controls over direct point load to post: for given
panel width.
Imposed load to infill controls over direct point load to post: for given
post height.
NB: Depending on the location of the balustrade within the building, it may be considered as similar to an external wall surface and
subject to local pressure magnification. Such however not considered a realistic model of the wind action on the free edge at top of
plate. The balustrade may be considered as a parapet, but AS1170.2 only partially considers the turbulence and potential stagnation
of airflow behind a parapet wall. Further balustrades are typically vented near floor level {though should be some adjacent kerb or
kickplate}. Therefore pressure coefficients for free standing walls considered most appropriate.
Wind load to infill controls over direct point load to post: for given
post height.
Balustrades typically do not have free edges. Balustrade typically flush with wall of building or has a return wing, and the wing
intersects the building wall.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
14/24
6/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
STANCHIONSTANCHION {typical internal}
LOADS AS1170.1
Stanchion LoadW idth 1500 mm {length of rail contributing to total load on post} Load Height 1800 mm
Nominal Unfactored loading: Q Equivalent Point Load at Post
Horizontal 0.75 kN/m 1.13 kN {reaction: loading on both sides}
Vertical 0.75 kN/m 1.13 kN {reaction: loading on both sides}
Inwards/OutWards or Downwards 0.60 kN 0.60 kN {direct}
NB: UDL's are applied to handrail, both sides of post. {eg. intermediate or internal post}
Rail span at which reaction from rail controls 0.800 m 0.60 kN Base Moment 1.08 kNm
Vertical Loading
NB: Axial buckling capacity of post not considered critical. Therefore not checked.
Horizontal Loading {typically Ixx}
Load kPa kN/m kN BM[kNm] Reactions [kN]
1 LL 1.13 Ph = 2.03 1.13
2 PL 0.60 Ph = 1.08 0.60
3 Infill (imposed) 1.50 2.70 wh/2 = 2.43 2.70
4 Infill (wind) 1.78 3.21 wh/2 = 2.89 3.21
STRENGTH {Ixx}
Design Bending Moments BM[kNm] Reactions [kN]
Case 1: 1.5LL 3.04 1.69
Case 2: 1.5PL 1.62 0.90
Case 3: 1.5 Infill (imposed) 3.65 4.05
1 ase 4: 1.0 Infill (wind) 2.89 3.21
max 3.65 max 4.05
equivalent Point Load at top of post = M/h = 2.03 kN
SERVICEABILITY {Ixx}
Design Bending Moments BM[kNm] Reactions [kN]
Case 1:1.0LL 2.03 1.13
Case 2:1.0PL 1.08 0.60
Case 3:1.0 Infill (imposed) 2.43
0.68 Case 4:0.7 Infill (wind) 1.95
max 2.43
equivalent Point Load at top of post = M/h = 1.35 kN
NB: Base Moments generated by loads on infill panels, are based on the maximum of the post height and the panel height
NB: Load height for top edge loads are limited to 1100mm, the maximum height in AS1657 for a functional guard rail.
NB: Not all situations require a hand rail, but it may be advisable to provide a guard rail or chair rail.
NB: To function has both hand rail and guard rail, the rail needs to be between 900mm and 1000mm high. If lower it will not function
as a guard rail, if higher it will not serve as a hand rail.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
15/24
7/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
ULTIMATE STRENGTH"Msx = 3.97 kNm
STANCHION: BENDING MOMENT VARIATION WITH HEIGHT
Table 1.1 Bending Moments inc 0.09 m
Height H 1.800 1.800 1.800 1.800 m
load w 2.25 1.78 kN/m
P 1.69 0.90 kN
Maxima 3.04 1.62 3.65 2.89 kNm Max: 3.65 kNm
point x Case 1: Case 2 C ase 3: Case 4: Load Case 3 Case3BM
0 0.000 3.04 1.62 3.65 2.89 Reinforcement Length #N/A mm Table row #N/A
1 0.090 2.89 1.54 3.29 2.61 NB: Loads typically applied at guard rail height.
2 0.180 2.73 1.46 2.95 2.34 Infill loads may extend above guard rail height
3 0.270 2.58 1.38 2.63 2.09
4 0.360 2.43 1.30 2.33 1.85
5 0.450 2.28 1.22 2.05 1.62
6 0.540 2.13 1.13 1.79 1.42
7 0.630 1.97 1.05 1.54 1.22
8 0.720 1.82 0.97 1.31 1.04
9 0.810 1.67 0.89 1.10 0.87
10 0.900 1.52 0.81 0.91 0.72
11 0.990 1.37 0.73 0.74 0.58
12 1.080 1.22 0.65 0.58 0.46
13 1.170 1.06 0.57 0.45 0.35
14 1.260 0.91 0.49 0.33 0.26
15 1.350 0.76 0.41 0.23 0.18
16 1.440 0.61 0.32 0.15 0.12
17 1.530 0.46 0.24 0.08 0.06
18 1.620 0.30 0.16 0.04 0.03
19 1.710 0.15 0.08 0.01 0.0120 1.800 0.00 0.00 0.00 0.00
65x65x2.0SHS Duragal C450LO
Stanchion Bending Moment
0.000
0.200
0.400
0.600
0.800
1.000
1.200
1.400
1.600
1.800
2.000
0.00 1.00 2.00 3.00 4.00
Bending Moment [kNm]
Height[m] Case 1:
Case 2:
Case 3:
Case 4:
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
16/24
8/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
DEFLECTIONS
65x65x2.0SHS Duragal C450LOE 2E+05 MPa = N/mm Ixx mm^4 E.Ixx = Nmm^2 #[sL] 1
Table 1.2 : Deflections (serviceability) k = 3EI/L = N/mm x = F/k
load w 1.50 1.78 kN/m = N/mm
P 1.13 0.60 kN
Maxima 33.85 18.06 30.47 36.22 mm
0 x[mm] Case 1: Case 2 Case 3: Case 4:
0 0 0.00 0.00 0.00 0.00 NB: Deflection is for post only
1 90 0.12 0.07 0.15 0.18 Deflections not modified for heights above, load.
2 180 0.49 0.26 0.57 0.68
3 270 1.09 0.58 1.24 1.47
4 360 1.90 1.01 2.13 2.53 isUseTest 0
5 450 2.91 1.55 3.21 3.82 E.Ixx[calc] Nmm^2
6 540 4.11 2.19 4.47 5.31 E.Ixx[test] Nmm^2
7 630 5.50 2.93 5.88 6.98
8 720 7.04 3.76 7.41 8.81
9 810 8.74 4.66 9.05 10.76 Maximum Recommended: 36.3 mm
10 900 10.58 5.64 10.79 12.83 Maximum Calculated: 36.2 mm
11 990 12.55 6.69 12.60 14.98 ok!
12 1080 14.63 7.80 14.48 17.21
13 1170 16.81 8.96 16.40 19.50
14 1260 19.08 10.17 18.36 21.83
15 1350 21.42 11.43 20.35 24.19
16 1440 23.83 12.71 22.36 26.58
17 1530 26.29 14.02 24.38 28.98
18 1620 28.79 15.36 26.41 31.39
19 1710 31.32 16.70 28.44 33.81
20 1800 33.85 18.06 30.47 36.22
NB: Deflections exaggerated relative to height
6.4600E+10
3.2300E+05 6.4600E+10
33.2
Stanchion Deflection
0
200
400
600
800
1000
1200
1400
1600
1800
2000
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00
Deflection [mm]
Height[mm]
Case 1:
Case 2:Case 3:
Case 4:
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 02
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
17/24
1/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
BARRIERS
AS1657:1992 Fixed platforms, walkways, stairways and ladders - Design, construction and installation.
Appendix C: Testing of guard rails
Fig 1: Post Test Fig 2: Rail Test
1 Testing of posts, only considers the point load requirement for guardrailing, therefore reaction from UDL on top rail is ignored.2
3
Constraint on residual deflection for handrail: L/90 from vectorial combination of horizontal and vertical loading.
ADOPT: Similar deflection constraint at top of post. [eg. load applied to handrail at post]
Types of post:
1) End Post {one incoming handrail}
2) Intermediate Post {incoming handrails to both sides}
3) Corner Post {two incoming handrails at 90 to each other on plan.}
Issues
1 Handrail can be loaded along entire length
2 Handrail can be pattern loaded
3 Configuration of a given installation unknown
4 System to be designed to cater for variety of installations
5 Handrail deflects horizontally and so does post (compatibility of deflections)
6 Vertical deflection of posts assumed negligible
7 Constraints on horizontal deflections are taken to be at point of applied load. (eg. handrail/guardrail level)
8 Structural sections not symmetrical about vertical or horizontal axes.
9 Outwards loads expected to be greater than inwards loads for barrier placed at edge of floor.
sample
Since the loads used for the tests are unfactored they are here taken to be serviceability loads with psi[s]=1, and therefore the residualdeflection limit is a serviceability criteria.
20/11/2013
Testing of guardrail only two posts are used, therefore UDL along handrail not considered to be on adjacent spans at the same time.
Testing typically by application of point load, therefore UDL replaced by point load producing equivalent bending moment in the rail.
When testing Posts it is permitted to have three posts with railings between, test load is to be applied to end post {Not as shown in Fig
B1 (AS1657)}
No magnification of the prescribed nominal loads for testing purposes, but does place constraints on residual deflection of handrails
after test load removed. No acceptance criteria is provided for posts.
These residual deflections are difficult to determine by calculation, since most design theory is based on linear elastic properties of
materials, rather than non-linear plastic properties. However from a calculation viewpoint the deflection under load has to be greater
than or equal to the residual.
End PostIntermediate Post
Handrail attached
to adjacent
structure.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 03
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
18/24
2/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
Balustrades Rail Height 1800 mm
Primary purpose, protect people falling from a free edge to a floor below.AS1657-1992 Distinguishes between guardrail and handrail
900 height 1100 (top rail) 3.4.1 (a) WARNING: Rail too high to function as guardrail
800 height 1000 (hand rail) 4.6.2 WARNING: Rail too high for convenience as handrail
BCA D2.16 Balustrades and Other Barriers
865 height (stairs & ramps)
1000 height (else where)
865 height (adjacent openable window)
D2.17 Handrails
865 height (no upper limit provided)
665 height 750 (additional hand rail: primary school)
{BCA appears to permit handrail installed higher than would be of practical use}}
AS1428.1 Design for Access and Mobility
6 Handrails and Grabrails
865 height 1000 (hand rail) WARNING: Rail too high for convenience as handrail
Barriers versus: Partitions, Walls, Doors, Windows, Balustrades, Guard Rails, Hand rails, Grab RailsCodes provide no real guidance regarding classification of a structure as a barrier or a wall.
AS1170.1 specifies barrier loadings to the top edge of the barrier: this doesn't always make sense.
A1 When does a full height glass panel become a wall of light weight construction ? {BCA: Specification C1.8: LL=0.25kPa}
A2 When does a plasterboard on stud wall framing become a barrier ? {BCA: Specification C1.8: LL=0.25kPa}
A3 When does a cantilever brick wall become a barrier?
B1
B2 A guardrail has to have a maximum height so that people cannot pass under it.
B3 A barrier that is not a simple rail, does not need a maximum limit on its functional height, only a lower limit.
B4 Guardrails and handrails may or may not be one and the same component of a barrier system.
B5
B6
B7 People can typically push with more force than they can pull.
B8
{NB: AS1170.1 does not identify imposed loads for vertical surfaces or plate elements. AS1170.0 identifies a need for
robustness, and gives requirements for minimum lateral resistance, but this is based on gravity loads bearing on the
structural element. No consideration of a direct lateral load to face of vertical element.}
A barrier has to have a minimum height to minimise chances of a person toppling over the barrier. {This would be related to
the centre of gravity (COG) of a human body, this varies with position (standing, sitting, leaning etc...). When standing, COG
People may be pushing against a barrier at either shoulder or waist height. Such height maybe lower than the top edge of a
barrier.
People can only pull horizontally against a barrier, which is within reach of their arms. The higher the reach to the barrier top
edge, the lower the lateral pull which can be exerted.
A barrier guarding a floor edge cannot be loaded from either direction with equal loading, compared to barrier accessible from
both directions used to control flow of traffic.
Applying barrier loads to top edge of barrier is not sensible in all cases. Such position does not always match thelocation where load is likley to be experienced by the barrier: irrespective of whether the barrier is cantilevered
framing or a plate, or a simply supported panel.
For current situation, adopt the handrail as a guardrail. The glazing behind is therefore only an infill panel and not the
principal restraining element. The top edge loading therefore is only applied at the height of the handrail/guardrail and
not the top edge of the glazing. The glazing only experiences inf ill loads.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 03
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
19/24
3/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
BARRIERS
Design Loads AS1170.1:2002 3.6 Barriers
Type of Occupancy for part of the building or structure C5 11 C5
Areas susceptible to over-crowding
Nominal Unfactored Loads
Top Edge Horizontal 3.00 kN/m Vertical 0.75 kN/m Inwards/OutWards/Downwards 0.60 kN
InFill Horizontal 1.50 kN/m = kPa Any Direction 1.50 kN
Maximum Serviceability deflection: AS1170.1 Supp 1:2002 C3.6 != h/60 +L/240 recommended
h = height of post L = span of handrail = spacing of posts
BALUSTRADE Limits of Deflection
Rail Span 1500 mm Rail height = 1800 mm
Design Load Factors: DLF[Q] = psi[u] = 1.5 DLF[serv] = psi[s] = 1 DLF[DL,u] = 1.2
DLF[DL,s] = 1
Serviceability Deflection Limit
h/60 = 36.3
l/240 = 18.1
!= h/60 +l/240 = 36.3 mm Top edge at any location {commentary to AS1170}
!R = !/2 = 18.13 mm Rail at midpsan, when loaded at midspan
Residual Deflection Permitted by AS1657
Residual L/90 = 16.7 mm Handrail at midspan {combined vertical & horizontal loading effects}Residual L/127 11.8 mm Handrail at midspan {max. for individual load case}
NB: The maximum residual for individual loadcase is assuming, a symmetrical section, and equal loads applied in each direction.
Deflection constraints imposing by glazing code
simple span L/60 = 25 mm but less than 30 mm AS1288 3.3.3 & Table 7.2, 7.3
!G1 = 25 mm
cantilever h/30 = 60 mm but less than 30 mm AS1288 3.3.3 & Table 7.1
!G2 = 30 mm
Coefficients for beam deflection formulae
deflection Coeff' = 5/384 = 0.013 deflection Coeff' = 1/48 = 0.021
Theatres, cinemas, grandstands, discotheques, bars, auditoria, shopping malls, (see also D),
assembly areas, studios, etc.
The barrier could be a wall or plate type structure, so no posts and guardrails to refer to. Therefore h/60 is not taken to be a limit on
post, with l/240 for rail. If a post is taken in isolation, and permitted to deflect the full deflection !, then the rail taken in isolation cannot
be permitted to deflect by the full amount !. The post will experience half the full load, and therefore expect it to contribute !/2 to the
total deflection of the system. Therefore the rail taken in isolation can only be permitted to deflect by a maximum of !/2. If the rail is
permitted to deflect the full !, then the post cannot be permitted to deflect at all: such is impractical.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 03
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
20/24
4/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
ASSESSMENT OF DESIGN WIND SPEED
Site Address : Description:Proposed Balustrade Residential Suburban TC3
Region A1 Zero shielding NS
Terrain Cat 3 Topography T1
Building Risk Assessment Average Building Height = h[avg] = h = 45.0 m (max.)Building Code of Australia (BCA) Part B1 Structural Provisions
STRUCTURAL CATEGORY Importance Level 2 {Normal} Table B1.2a
Annual probability of Design Wind Event being exceeded for Strength 1/500 = 0.002 R = Mean Return Period 500
Serviceability 1/20 = 0.05 R = Mean Return Period 20
ASSESSMENT OF SITE AND BUILDING HEIGHT AS1170.2:2002
Major Region A SubRegion 1 Region A1 Non-Cyclonic
sensitivity {static analysis acceptable} C[dyn] 1 46/ht = 1.02
Use Directional Wind Speeds
N NE E SE S SW W NW
0 45 90 135 180 225 270 315 degreesTcat 4 4 4 4 4 4 4 4
V[R,u] = 45 45 45 45 45 45 45 45 m/s
M[d] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[z,cat] = 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88
M[s] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[t] = 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
M[z,cat].M[s].M[t] = 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88
V[sit,,u] = 39.38 39.38 39.38 39.38 39.38 39.38 39.38 39.38 m/s
Maximum Expected wind speed at SITE for strength limit state = [sit,,u] = 39.38 m/s relative to building
V[R,s] = 37 V[R,s]/V[R,u] 0.82 (Vs/Vu)^2 = 0.68
ASSESSMENT OF BUILDING ORIENTATION AlternateValue 360
Bearing of Northern Most Face 0 (degrees f rom North, less than 90) Orientation Treated as Unknown 1
Building Face 1 2 3 4
Face Bearing 0 90.0 180 270 degrees
Sector Bdry 0 0 0 0 0 0 0 0 degrees
V[sector] = 39.38 39.38 39.38 39.38 m/s
0 90 180 270 degreesV[des,,u] = 39.38 39.38 39.38 39.38 m/s
q[ref] = 0.93 0.93 0.93 0.93 kPa
q[ref] = (0.5[air] ) V[des,,u]
Strength Limit State Design
simplified to two orthogonal directions:
V[des,0,u] = 39.38 m/s
V[des,90,u] = 39.38 m/s
qz0 = 0.93 kPa 0.00
qz90 = 0.93 kPa
Maximum Design wind speed for Building for strength limit state = [des,,u] = 39.38 m/s Vp = 32.1
Classification of Wind Loading To AS4055:
Upper wind Class N2 WP33, WU40 Lower wind Class N1 WP28, WU34NB: The Lower wind class is only relevant for pre-engineered structures designed to the AS1170 wind speed calculated above, and is therefore
designed to a lower wind speed than the AS4055 classification of the site would require: the upper wind class shown above. (eg. An AS4055
classified N2 building is not suitable for a N3 site. But the AS1170 designed building is suitable for the AS1170 assessed site.)
FALSE
V[site] to V[design]
0.00
10.00
20.00
30.00
40.00
50.00
60.00
0 45 90 135 180 225 270 315 360
Site Design
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 03
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
21/24
5/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
Balustrade Infill NB: Design of Infill by Others.
Panel Height = c = 1800 mm Panel Length = b = 1500 mm Area 2.7 m b/c = 0.833
Height to Top of Panel = h = 1800 mm Length of Wing forming corner 0 mm isCorner 0 c/h = 1
Imposed
Point Load PL = 1.50 kN
Uniformly DistributedLoad (UDL) p = 1.50 kPa W = 4.05 kN
Wind Pressure coefficients taken for freestanding hoardings and walls e
Cpe0 = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN 0
Cpe45 = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN dwe= 0 300
Cpe90 = 1.00 qz= 0.93 kPa p= 0.93 kPa W = 2.5 kN dwe= 0 0
Cpe[max] = 1.28 qz= 0.93 kPa p= 1.19 kPa W = 3.2 kN
1 Infill considered to be a single span plate element.
2 Infill spans between posts only.
3 Loads not taken in combination
4 Eccentricity of wind load only considered important for single isolated panel: little relevance for continuous panel.
5
Loads Distributed to Posts Load Width = 1.500 m Internal Post: Rails Both SidesPer metre height of post
0 Assuming load to panels either side of post
by psi_u=1.5
imposed P 1.50 kN 0.83 kN/m 1.25
w 2.25 kN/m 3.38
max: 2.25 kN/m {NB: Imposed to be multiplied by 1.5} 3.38
LoadWidth = 1.5 m Internal Post: Rails Both Sides Assuming wind load to panels either side of post.
wind w 1.78 kN/m {NB: calculated ignoring eccentricity}
M1 = wL^2/2 ; M2 = PL if M1 = M2 then L = 2P/w
Post Height: H = 1.009 m
Panel Width: L = 0.841 m
L = 0.444 m
Cfig = Cpn.Kp Kl and Ka do not appear as taken to be equal to 1. AS1190.2 D2.1
NB: Ignores wind buffeting and turbulence which maybe experienced at the top of a tall building. Largely beyond scope of wind
loading code and requires testing, to assess fatigue resistance of glazing.
wind load to infill controls over direct point load to post: for given
panel width.
Imposed load to infill controls over direct point load to post: for given
post height.
NB: Depending on the location of the balustrade within the building, it may be considered as similar to an external wall surface and
subject to local pressure magnification. Such however not considered a realistic model of the wind action on the free edge at top of
plate. The balustrade may be considered as a parapet, but AS1170.2 only partially considers the turbulence and potential stagnation
of airflow behind a parapet wall. Further balustrades are typically vented near floor level {though should be some adjacent kerb or
kickplate}. Therefore pressure coefficients for free standing walls considered most appropriate.
Wind load to infill controls over direct point load to post: for given
post height.
Balustrades typically do not have free edges. Balustrade typically flush with wall of building or has a return wing, and the wing
intersects the building wall.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 03
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
22/24
6/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
STANCHIONSTANCHION {typical internal}
LOADS AS1170.1
Stanchion LoadW idth 1500 mm {length of rail contributing to total load on post} Load Height 1800 mm
Nominal Unfactored loading: Q Equivalent Point Load at Post
Horizontal 3 kN/m 4.50 kN {reaction: loading on both sides}
Vertical 0.75 kN/m 1.13 kN {reaction: loading on both sides}
Inwards/OutWards or Downwards 0.60 kN 0.60 kN {direct}
NB: UDL's are applied to handrail, both sides of post. {eg. intermediate or internal post}
Rail span at which reaction from rail controls 0.200 m 0.60 kN Base Moment 1.08 kNm
Vertical Loading
NB: Axial buckling capacity of post not considered critical. Therefore not checked.
Horizontal Loading {typically Ixx}
Load kPa kN/m kN BM[kNm] Reactions [kN]
1 LL 4.50 Ph = 8.10 4.50
2 PL 0.60 Ph = 1.08 0.60
3 Infill (imposed) 2.25 4.05 wh/2 = 3.65 4.05
4 Infill (wind) 1.78 3.21 wh/2 = 2.89 3.21
STRENGTH {Ixx}
Design Bending Moments BM[kNm] Reactions [kN]
Case 1: 1.5LL 12.15 6.75
Case 2: 1.5PL 1.62 0.90
Case 3: 1.5 Infill (imposed) 5.47 6.08
1 ase 4: 1.0 Infill (wind) 2.89 3.21
max 12.15 max 6.75
equivalent Point Load at top of post = M/h = 6.75 kN
SERVICEABILITY {Ixx}
Design Bending Moments BM[kNm] Reactions [kN]
Case 1:1.0LL 8.10 4.50
Case 2:1.0PL 1.08 0.60
Case 3:1.0 Infill (imposed) 3.65
0.68 Case 4:0.7 Infill (wind) 1.95
max 8.10
equivalent Point Load at top of post = M/h = 4.50 kN
NB: Base Moments generated by loads on infill panels, are based on the maximum of the post height and the panel height
NB: Load height for top edge loads are limited to 1100mm, the maximum height in AS1657 for a functional guard rail.
NB: Not all situations require a hand rail, but it may be advisable to provide a guard rail or chair rail.
NB: To function has both hand rail and guard rail, the rail needs to be between 900mm and 1000mm high. If lower it will not function
as a guard rail, if higher it will not serve as a hand rail.
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 03
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
23/24
7/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
ULTIMATE STRENGTH"Msx = 13.90 kNm
STANCHION: BENDING MOMENT VARIATION WITH HEIGHT
Table 1.1 Bending Moments inc 0.09 m
Height H 1.800 1.800 1.800 1.800 m
load w 3.38 1.78 kN/m
P 6.75 0.90 kN
Maxima 12.15 1.62 5.47 2.89 kNm Max: 12.15 kNm
point x Case 1: Case 2 C ase 3: Case 4: Load Case 1 Case1BM
0 0.000 12.15 1.62 5.47 2.89 Reinforcement Length #N/A mm Table row #N/A
1 0.090 11.54 1.54 4.93 2.61 NB: Loads typically applied at guard rail height.
2 0.180 10.94 1.46 4.43 2.34 Infill loads may extend above guard rail height
3 0.270 10.33 1.38 3.95 2.09
4 0.360 9.72 1.30 3.50 1.85
5 0.450 9.11 1.22 3.08 1.62
6 0.540 8.51 1.13 2.68 1.42
7 0.630 7.90 1.05 2.31 1.22
8 0.720 7.29 0.97 1.97 1.04
9 0.810 6.68 0.89 1.65 0.87
10 0.900 6.08 0.81 1.37 0.72
11 0.990 5.47 0.73 1.11 0.58
12 1.080 4.86 0.65 0.87 0.46
13 1.170 4.25 0.57 0.67 0.35
14 1.260 3.65 0.49 0.49 0.26
15 1.350 3.04 0.41 0.34 0.18
16 1.440 2.43 0.32 0.22 0.12
17 1.530 1.82 0.24 0.12 0.06
18 1.620 1.22 0.16 0.05 0.03
19 1.710 0.61 0.08 0.01 0.0120 1.800 0.00 0.00 0.00 0.00
100x100x3.0SHS Duragal C450LO
Stanchion Bending Moment
0.000
0.200
0.400
0.600
0.800
1.000
1.200
1.400
1.600
1.800
2.000
0.00 5.00 10.00 15.00
Bending Moment [kNm]
Height[m] Case 1:
Case 2:
Case 3:
Case 4:
(C)Roy Harrison Associates dsgnBalustradePost.xls
sample 03
mailto:email:[email protected]:email:[email protected] -
7/22/2019 Sample Calculations to Australian Standard AS1170 for design loads for a Post to a Barrier
24/24
8/8
ROY HARRISON ASSOCIATES REF.:CONSULTING ENGINEERS PAGE:
PO Box 204 DATE:
Para Hills SA 5096 email:[email protected] Author: SCH
Sample and Reference Calculations
SAMPLE ONLY
sample
20/11/2013
DEFLECTIONS
100x100x3.0SHS Duragal C450LOE 2E+05 MPa = N/mm Ixx mm^4 E.Ixx = Nmm^2 #[sL] 1
Table 1.2 : Deflections (serviceability) k = 3EI/L = N/mm x = F/k
load w 2.25 1.78 kN/m = N/mm
P 4.50 0.60 kN
Maxima 24.71 3.29 8.34 6.61 mm
0 x[mm] Case 1: Case 2 Case 3: Case 4:
0 0 0.00 0.00 0.00 0.00 NB: Deflection is for post only
1 90 0.09 0.01 0.04 0.03 Deflections not modified for heights above, load.
2 180 0.36 0.05 0.16 0.12
3 270 0.79 0.11 0.34 0.27
4 360 1.38 0.18 0.58 0.46 isUseTest 0
5 450 2.12 0.28 0.88 0.70 E.Ixx[calc] Nmm^2
6 540 3.00 0.40 1.22 0.97 E.Ixx[test] Nmm^2
7 630 4.01 0.53 1.61 1.27
8 720 5.14 0.69 2.03 1.61
9 810 6.38 0.85 2.48 1.96 Maximum Recommended: 36.3 mm
10 900 7.72 1.03 2.95 2.34 Maximum Calculated: 24.7 mm
11 990 9.16 1.22 3.45 2.73 ok!
12 1080 10.68 1.42 3.96 3.14
13 1170 12.27 1.64 4.49 3.56
14 1260 13.93 1.86 5.03 3.98
15 1350 15.64 2.09 5.57 4.42
16 1440 17.40 2.32 6.12 4.85
17 1530 19.19 2.56 6.67 5.29
18 1620 21.02 2.80 7.23 5.73
19 1710 22.86 3.05 7.78 6.17
20 1800 24.71 3.29 8.34 6.61
NB: Deflections exaggerated relative to height
3.5400E+11
1.7700E+06 3.5400E+11
182.1
Stanchion Deflection
0
200
400
600
800
1000
1200
1400
1600
1800
2000
0.00 5.00 10.00 15.00 20.00 25.00 30.00
Deflection [mm]
Height[mm]
Case 1:
Case 2:Case 3:
Case 4:
sample 03
mailto:email:[email protected]:email:[email protected]