Download - Masonry construction - Exercise
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 1
Masonry construction - Masonry construction - ExerciseExercise
cross section
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 5
ground planBasement
basement-high precision bricks 6/lmd = 300 mmfk = 2,2 N/mm2
he=2,41 mhs = 2,5 me = 19 kN/m3
qk = 5 kN/m2
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 6
DesignDesign
M
load eccentricity: e = M/N
d
N
exist
e c
N
1.
2.
e d/3
σexist σpermissable
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 7
Design Design methodmethod
Boundary conditions forsimplifiedmethod ot a basement wall
d ≥ 240 mmhs ≤ 2,6mqk ≤ 5,0 kN/m2
he ≤ hs
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 8
Verification of conditions Verification of conditions
• Wall thickness d = 300 > 240 mm
• Max. floor height hs = 2,5 < 2,6 m
• Max live load qk = 5 ≤ 5 kN/m2
• he = 2,41 ≤ hk = 2,50 m
Use of the simplified method
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 9
Proof at half height of the fill
mit
N1,Rd,d = upper limit of the wall normal forceN1,lim,d = lower limit of the wall normal forceN1,Ed= Design value of the wall normal force from the load
case Nmax and Nmind = Wall thickness fd = Design value of the masonry compressive strength e = Weights of the fill
dEdd
Rd NNfd
N lim,,1,1,1 3
d
hhN ese
d
20
2
lim,,1
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 10
Verification on the top of the wall
N0,lim,d = lower limit of the wall normal force (s. table)
N1,Ed= Design value of the wall normal force from the load case Nmax and Nmin
dEdd
Rd NNfd
N lim,,0,0,0 3
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 11
load collectionload collection
dead weight Gk Roof (from auxiliary
calculation)2,52 kN/m
Wall dead load (Vertical perforated brick HLz 6-0,8/lm
10·(0,3 + 0,035 3,35kN/m2
jamb wall 3,35·0,5 1,68 kN/m
Wall on the upper floor + ground floor
3,35·2,5·2 16,75
kN/m
Ceiling load from upper floor
(0,18·25 + 1,6)·3,79/2
11,56
kN/m
Ceiling load from ground floor
(0,18·25 + 1,6)·2,40/2
7,32 kN/m
Ceiling load from Basement
(0,16·25 + 1,6)·2,40/2
6,72 kN/m
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 12
live load Qk live load
1,5kN/m2
Partition wall surcharge
1,2kN/m2
slab over first floor (1,5+1,2)·(3,79/2) 5,12 kN/m
slab over ground (1,5+1,2)·(2,4/2) 3,24 kN/m
slab over basement (1,5+1,2)·(2,4/2) 3,24 kN/m
snow from auxiliary calculation for zone I, 0,75 kN/m²
1,98 kN/m
wind (from auxiliary calculation )
1,24 kN/m
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 13
Action– for cases with only one live load Qk,1
– for cases with more than one live load Qk,i
1,1
, 5,135,1 kj
jkkid QGEEi
1,,1,
1, 5,135,1
iikiOk
jjkkid QQGEE
i
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 14
• partial safety factors of actions
Action permanent load variable load
favourable 1,0 0
unfavourable 1.35 1.5
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 15
• for unusual effects special rules
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 16
Minimum normal force at the top of the wall (only dead load without increasing by PSF)
Minimum normal force in half storey height
kN/m 55,4672,632,756,1175,1668,152,200,1 dE
kN/m 94,50)2/5,2(35,300,175,46 dE
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 17
Maximum normal force at the top of the wall
Maximum normal force in half storey height
kN/m 92,7998,15,024,16,07,0224,312,55,155,4635,1 dE
kN/m 58,85)2/5,2(35,335,192,79 dE
Prof. Dr.-Ing. Wolfram Jäger - LS Tragwerksplanung - Fakultät Architektur 18
lower limits N1,lim,d for basement walls
upper limit due to load bearing capacity kN/m 67,124
5,13
220085,03,0
33,1,0
M
kdRdRd
fdfdNN
kN/m 98,453,020
41,25,219
20
22
lim,,1
d
hhN ese
d