viga de concreto aci 318-11
TRANSCRIPT
PROJECT :
CLIENT : JOB NO. : DATE :
Concrete Beam Design, for New or Existing, Based on ACI 318-11
INPUT DATA & DESIGN SUMMARY
CONCRETE STRENGTH 4 ksi
REBAR STRENGTH MAIN 60 ksi
STIRRUP 60 ksi
FACTORED BENDING MOMENT 1000 ft-k
FACTORED SHEAR FORCE 230 kips
FACTORED TORSIONAL MOMENT 36.5 ft-k
SECTION DIMENSIONS 24 in
h = 48 in
8 in
b = 88 in, (ACI 318-11 8.12.2, 11.5.1.1, & 13.2.4)
COMPRESSION REINFORCEMENT 4 # 7TENSION REINFORCEMENT 6 # 9SHEAR REINFORCEMENT 4 legs # 4 @
ANALYSISCHECK FLEXURAL CAPACITY
Cover = 1.5 in, (ACI 318-11 7.7.1)
d = 45.44 ind' = 2.44 in
0.90 , (ACI 318-11 R9.3.2) c =
0.0005
0.0050 , (ACI 318-11 10.3.4)
f 'c =
fy =
fy =
Mu =
Vu =
Tu =
bw =
hf =
rprov'd =
f =
ec,max = Fc =
es,max = dc =
Parabolic
A s f y
Fc
A s' f s'0.85 f c'ec = 0.003
'
'
2
'
'
2 0.85, 57 , 29000
0.85 2 , 0
0.85 ,
,
,
C
C
C
C
C
S
fksifE Ec so
Ec
c c forf c of oo
forf c o
forEss s tf
forf s ty
e
e ee e
ee
e e
e e ee e
1190.71 ft-k > [Satisfactory]
CHECK SHEAR CAPACITYCheck section limitation (ACI, 11.2 & 11.4.7.9) Determine concrete capacity (ACI, 11.2.1.1 or 11.2.2.1)
230.0 < 517.3 kips [Satisfactory]where 0.75
Check shear reinforcement (ACI, 11.4)
where
= 0.716 <
Check spacing limits for shear reinforcement (ACI 11.4.5)
0.00 kips, (ACI 11.1.1)
= 22
CHECK TORSION CAPACITYCheck section limitation (ACI, 11.5.3.1)
where
0.215 < 0.474 [Satisfactory]
Check if torsional reinforcement required (ACI, 11.5.1)
fMn = Mu
f =
in2 / ft
f =
Ph =
Aoh =
22
'821.7
C
cw
V T P Vu u h fd db bAw oh
f
'2C w cd fV b '10u w cd fV bf
Re
0 ,2
0.75 '50, ,
2
,
cu
wcw cu c
qD y y
u cc u
y
Vfor V
f bA b Vv MAX for V Vs f f
V V for V Vdf
f
f f
f ff
1.9 2500C wwA B dV br
ProvD
Avs
u cs
V VV
ff
'
max,'
( , 24) 42
( , 12) 44
s w c
shear
s w c
dMIN for d fV b
Sd
MIN for d fV b
where
36.5 < 36.5 ft-k Torsional reinforcement NOT reqD.
Check the max factored torque causing cracking (ACI, 11.5.2.2)
36.5 < 146.1 Reduction of the torsional moment can occur.
Determine the area of one leg of a closed stirrup (ACI, 11.5.3.6)
0.00
Determine the corresponding area of longitudinal reinforcement (derived from ACI, 11.5.3.7 & 11.5.5.3)
Determine minimum combined area of longitudinal reinforcement
0.00 < actual
5.04 < actual
Determine minimum diameter for longitudinal reinforcement (ACI, 11.5.6.2)
0.50 in <
Determine minimum combined area of stirrups (ACI, 11.5.5.2 & 11.5.6.1)
0.40 >
12 in
12 in
be = MIN(h-hf , 4hf) =
Pcp =
Acp =
in2 / ft
AL, top = As' +0.5AL = in2
AL, bot = As +0.5AL = in2
dbL = MAX(0.042 S, 3/8) =
(Av+2At) / S = in2 / ft MAX [ 0.75(fc')0.5bw/fyv, 50bw/fyv] =
Smax, tor = MIN[(Ph/8, 12) =
SreqD = MIN(Smax,shear , Smax,tor) =
2' cp
u ccp
AfT
Pf
0 02 1.7t u u
hyv yv
A T Ts f fA Af f
'5 25, ,
cpyv yvct t wL h h
yL yL yL yv
f ffA bA AMAX MAXA P Ps sf f f f
2'4 cp
u ccp
AfT
Pf
Case1 2 3 4
a 0.99 -13.77 #REF! #REF!As' #REF! #REF!
As 4.94 10.28 #REF! #REF!fs' #REF! #REF!
R E B A R D A T ABAR DIA As
# in sq in3 0.375 0.1104 0.500 0.2005 0.625 0.3106 0.750 0.4407 0.875 0.6008 1.000 0.7909 1.128 1.000
10 1.270 1.27011 1.410 1.56014 1.693 2.25018 2.257 4.000
PAGE : DESIGN BY : REVIEW BY :
Concrete Beam Design, for New or Existing, Based on ACI 318-11
THE DESIGN IS ADEQUATE.
in, (ACI 318-11 8.12.2, 11.5.1.1, & 13.2.4)
12 in o.c.
0.0055 < 0.0131 , (ACI 318 R10.3.5)
> 0.0033 , (ACI 318 10.5)[Satisfactory]
4.44 in, by pure math method
342.99 kips
1.52 in
rmax =
rmin =
Parabolic
A s f y
Fc
A s' f s'0.85 f c'ec = 0.003
[Satisfactory]
Determine concrete capacity (ACI, 11.2.1.1 or 11.2.2.1)
137.93 kips
144.10 kips ,<== applicable
63.25
0.871
0.800 [Satisfactory]
> S = 12 in[Satisfactory]
(cont'd)
0.75 (ACI, 9.3.2.3)
258 in, (perimeter of centerline of outermost closedtransverse torsional reinforcement.)
1,287closed transverse torsional reinforcement.)
in2 / ft
in2 (area enclosed by centerline of the outermost
'2C w cd fV b
1.9 2500C wwA B dV br
' , 100cA MIN f
, 1.0u
u
dVB MINM
32 in, (one side, ACI, 11.5.1.1)
160 in, (outside perimeter of the concrete crosssection.)
1,216concrete cross section.)
Determine the corresponding area of longitudinal reinforcement (derived from ACI, 11.5.3.7 & 11.5.5.3)
0.00
[Satisfactory]
[Satisfactory]
Determine minimum diameter for longitudinal reinforcement (ACI, 11.5.6.2)
0.88 in [Satisfactory]
Determine minimum combined area of stirrups (ACI, 11.5.5.2 & 11.5.6.1)
0.24
[Satisfactory]
> actual [Satisfactory]
e = MIN(h-hf , 4hf) =
in2 (area enclosed by outside perimeter of
in2
MAX [ 0.75(fc')0.5bw/fyv, 50bw/fyv] = in2 / ft
'5 25, ,
cpyv yvct t wL h h
yL yL yL yv
f ffA bA AMAX MAXA P Ps sf f f f
For torsion, b = Min[ L/4, S, bw+16hf, bw+2h-2hf], (ACI 318-11 11.5.1.1, & 13.2.4)
For non-torsion, b = Min[ L/4, S, bw+8hf, bw+2h-2hf], (ACI 318-11 8.2.2)
0.0131
0.0019 c = 19.473 in
thk. d to top wide Area e
0.80 0.40 88.00 70.40 0.0029 3.400 239.360
0.80 1.20 88.00 70.40 0.0028 3.400 239.360
0.80 2.00 88.00 70.40 0.0027 3.400 239.360
0.80 2.80 88.00 70.40 0.0026 3.400 239.360
0.80 3.60 88.00 70.40 0.0024 3.400 239.360
0.80 4.40 88.00 70.40 0.0023 3.400 239.360
0.80 5.20 88.00 70.40 0.0022 3.400 239.360
0.80 6.00 88.00 70.40 0.0021 3.400 239.360
0.80 6.80 88.00 70.40 0.0020 3.400 239.360
0.80 7.60 88.00 70.40 0.0018 3.397 239.140
h-hf
2.22 9.11 24.00 53.33 0.0016 3.320 177.049
2.22 11.33 24.00 53.33 0.0013 3.018 160.956
2.22 13.56 24.00 53.33 0.0009 2.492 132.917
2.22 15.78 24.00 53.33 0.0006 1.742 92.930
2.22 18.00 24.00 53.33 0.0002 0.769 40.996
2.22 20.22 24.00 53.33 -0.0001 0.000 0.000
rmax =
e0 =
fc Fc
hf
h-hf
2.22 22.44 24.00 53.33 -0.0005 0.000 0.000
2.22 24.67 24.00 53.33 -0.0008 0.000 0.000
2.22 26.89 24.00 53.33 -0.0011 0.000 0.000
2.22 29.11 24.00 53.33 -0.0015 0.000 0.000
2.22 31.33 24.00 53.33 -0.0018 0.000 0.000
2.22 33.56 24.00 53.33 -0.0022 0.000 0.000
2.22 35.78 24.00 53.33 -0.0025 0.000 0.000
2.22 38.00 24.00 53.33 -0.0029 0.000 0.000
2.22 40.22 24.00 53.33 -0.0032 0.000 0.000
2.22 42.44 24.00 53.33 -0.0035 0.000 0.000
2.22 44.67 24.00 53.33 -0.0039 0.000 0.000
2.22 46.89 24.00 53.33 -0.0042 0.000 0.000
48.00 1664.00 -2998.23
-144.00
29000 ksi 3142.23
0.00
- As 'fs' =
Es = As fy =
c = 40.892 in c = 25.272 in c = 19.304 in
e e e
0.0446 3.400 239.360 0.0062 3.400 239.360 0.0036 3.400 239.360
0.0437 3.400 239.360 0.0060 3.400 239.360 0.0035 3.400 239.360
0.0428 3.400 239.360 0.0058 3.400 239.360 0.0033 3.400 239.360
0.0419 3.400 239.360 0.0056 3.400 239.360 0.0032 3.400 239.360
0.0410 3.400 239.360 0.0054 3.400 239.360 0.0030 3.400 239.360
0.0402 3.400 239.360 0.0052 3.400 239.360 0.0029 3.400 239.360
0.0393 3.400 239.360 0.0050 3.400 239.360 0.0027 3.400 239.360
0.0384 3.400 239.360 0.0048 3.400 239.360 0.0025 3.400 239.360
0.0375 3.400 239.360 0.0046 3.400 239.360 0.0024 3.400 239.360
0.0366 3.400 239.360 0.0044 3.400 239.360 0.0022 3.400 239.360
0.0350 3.400 181.333 0.0040 3.400 181.333 0.0020 3.400 181.333
0.0325 3.400 181.333 0.0035 3.400 181.333 0.0015 3.275 174.687
0.0301 3.400 181.333 0.0029 3.400 181.333 0.0011 2.809 149.823
0.0276 3.400 181.333 0.0024 3.400 181.333 0.0007 1.997 106.530
0.0252 3.400 181.333 0.0018 3.393 180.980 0.0002 0.840 44.809
0.0227 3.400 181.333 0.0013 3.016 160.832 -0.0002 0.000 0.000
fc Fc fc Fc fc Fc
0.0203 3.400 181.333 0.0007 2.058 109.735 -0.0006 0.000 0.000
0.0179 3.400 181.333 0.0001 0.519 27.689 -0.0010 0.000 0.000
0.0154 3.400 181.333 -0.0004 0.000 0.000 -0.0015 0.000 0.000
0.0130 3.400 181.333 -0.0010 0.000 0.000 -0.0019 0.000 0.000
0.0105 3.400 181.333 -0.0015 0.000 0.000 -0.0023 0.000 0.000
0.0081 3.400 181.333 -0.0021 0.000 0.000 -0.0027 0.000 0.000
0.0056 3.400 181.333 -0.0026 0.000 0.000 -0.0032 0.000 0.000
0.0032 3.400 181.333 -0.0032 0.000 0.000 -0.0036 0.000 0.000
0.0007 2.139 114.076 -0.0037 0.000 0.000 -0.0040 0.000 0.000
-0.0017 0.000 0.000 -0.0043 0.000 0.000 -0.0044 0.000 0.000
-0.0042 0.000 0.000 -0.0048 0.000 0.000 -0.0049 0.000 0.000
-0.0066 0.000 0.000 -0.0054 0.000 0.000 -0.0053 0.000 0.000
-5046.34 -3598.17 -3050.78
-144.00 -144.00 -144.00
360.00 360.00 360.00
-4,830.34 -3,382.17 -2,834.78
- As 'fs' = - As 'fs' = - As 'fs' =
As fy = As fy = As fy =
c = 0.000 in c = 2.275 in c = 7.985 in
e e e
0.0000 0.000 0.000 0.0002 0.738 51.947 0.0010 2.671 188.024
-0.0001 0.000 0.000 0.0001 0.434 30.557 0.0009 2.482 174.703
-0.0002 0.000 0.000 0.0000 0.114 8.011 0.0008 2.271 159.847
-0.0003 0.000 0.000 -0.0001 0.000 0.000 0.0007 2.038 143.457
-0.0004 0.000 0.000 -0.0002 0.000 0.000 0.0006 1.783 125.531
-0.0005 0.000 0.000 -0.0002 0.000 0.000 0.0005 1.507 106.071
-0.0006 0.000 0.000 -0.0003 0.000 0.000 0.0004 1.208 85.075
-0.0007 0.000 0.000 -0.0004 0.000 0.000 0.0003 0.888 62.545
-0.0007 0.000 0.000 -0.0005 0.000 0.000 0.0002 0.547 38.480
-0.0008 0.000 0.000 -0.0006 0.000 0.000 0.0001 0.183 12.880
-0.0010 0.000 0.000 -0.0008 0.000 0.000 -0.0002 0.000 0.000
-0.0012 0.000 0.000 -0.0010 0.000 0.000 -0.0004 0.000 0.000
-0.0015 0.000 0.000 -0.0013 0.000 0.000 -0.0007 0.000 0.000
-0.0017 0.000 0.000 -0.0016 0.000 0.000 -0.0010 0.000 0.000
-0.0020 0.000 0.000 -0.0018 0.000 0.000 -0.0013 0.000 0.000
-0.0022 0.000 0.000 -0.0021 0.000 0.000 -0.0016 0.000 0.000
fc Fc fc Fc fc Fc
-0.0025 0.000 0.000 -0.0023 0.000 0.000 -0.0019 0.000 0.000
-0.0027 0.000 0.000 -0.0026 0.000 0.000 -0.0022 0.000 0.000
-0.0030 0.000 0.000 -0.0029 0.000 0.000 -0.0025 0.000 0.000
-0.0032 0.000 0.000 -0.0031 0.000 0.000 -0.0028 0.000 0.000
-0.0034 0.000 0.000 -0.0034 0.000 0.000 -0.0031 0.000 0.000
-0.0037 0.000 0.000 -0.0036 0.000 0.000 -0.0034 0.000 0.000
-0.0039 0.000 0.000 -0.0039 0.000 0.000 -0.0037 0.000 0.000
-0.0042 0.000 0.000 -0.0041 0.000 0.000 -0.0040 0.000 0.000
-0.0044 0.000 0.000 -0.0044 0.000 0.000 -0.0043 0.000 0.000
-0.0047 0.000 0.000 -0.0047 0.000 0.000 -0.0046 0.000 0.000
-0.0049 0.000 0.000 -0.0049 0.000 0.000 -0.0049 0.000 0.000
-0.0052 0.000 0.000 -0.0052 0.000 0.000 -0.0052 0.000 0.000
0.00 -90.51 -1096.61
18.67 1.31 -51.55
360.00 360.00 360.00
378.67 270.80 -788.17
- As 'fs' = - As 'fs' = - As 'fs' =
As fy = As fy = As fy =
c = 3.735 in c = 4.239 in c = 4.449 in
e e e
0.0004 1.289 90.730 0.0005 1.472 103.636 0.0005 1.547 108.938
0.0003 1.007 70.928 0.0004 1.200 84.446 0.0004 1.279 90.015
0.0002 0.709 49.888 0.0003 0.909 63.988 0.0003 0.992 69.810
0.0001 0.392 27.610 0.0002 0.600 42.262 0.0002 0.686 48.324
0.0000 0.058 4.094 0.0001 0.274 19.267 0.0001 0.363 25.556
-0.0001 0.000 0.000 0.0000 0.000 0.000 0.0000 0.021 1.507
-0.0002 0.000 0.000 -0.0001 0.000 0.000 -0.0001 0.000 0.000
-0.0003 0.000 0.000 -0.0002 0.000 0.000 -0.0002 0.000 0.000
-0.0004 0.000 0.000 -0.0003 0.000 0.000 -0.0003 0.000 0.000
-0.0005 0.000 0.000 -0.0004 0.000 0.000 -0.0004 0.000 0.000
-0.0006 0.000 0.000 -0.0006 0.000 0.000 -0.0006 0.000 0.000
-0.0009 0.000 0.000 -0.0009 0.000 0.000 -0.0008 0.000 0.000
-0.0012 0.000 0.000 -0.0011 0.000 0.000 -0.0011 0.000 0.000
-0.0014 0.000 0.000 -0.0014 0.000 0.000 -0.0014 0.000 0.000
-0.0017 0.000 0.000 -0.0017 0.000 0.000 -0.0017 0.000 0.000
-0.0020 0.000 0.000 -0.0019 0.000 0.000 -0.0019 0.000 0.000
fc Fc fc Fc fc Fc
-0.0022 0.000 0.000 -0.0022 0.000 0.000 -0.0022 0.000 0.000
-0.0025 0.000 0.000 -0.0025 0.000 0.000 -0.0025 0.000 0.000
-0.0028 0.000 0.000 -0.0027 0.000 0.000 -0.0027 0.000 0.000
-0.0030 0.000 0.000 -0.0030 0.000 0.000 -0.0030 0.000 0.000
-0.0033 0.000 0.000 -0.0033 0.000 0.000 -0.0033 0.000 0.000
-0.0036 0.000 0.000 -0.0036 0.000 0.000 -0.0036 0.000 0.000
-0.0038 0.000 0.000 -0.0038 0.000 0.000 -0.0038 0.000 0.000
-0.0041 0.000 0.000 -0.0041 0.000 0.000 -0.0041 0.000 0.000
-0.0044 0.000 0.000 -0.0044 0.000 0.000 -0.0044 0.000 0.000
-0.0046 0.000 0.000 -0.0046 0.000 0.000 -0.0046 0.000 0.000
-0.0049 0.000 0.000 -0.0049 0.000 0.000 -0.0049 0.000 0.000
-0.0052 0.000 0.000 -0.0052 0.000 0.000 -0.0052 0.000 0.000
-243.25 -313.60 -344.15
-10.83 -15.21 -17.08
360.00 360.00 360.00
105.92 31.19 -1.23
- As 'fs' = - As 'fs' = - As 'fs' =
As fy = As fy = As fy =
c = 4.441 in c = 4.442 in c = 4.442 in
e e e
0.0005 1.545 108.738 0.0005 1.545 108.765 0.0005 1.545 108.765
0.0004 1.276 89.805 0.0004 1.276 89.832 0.0004 1.276 89.832
0.0003 0.989 69.590 0.0003 0.989 69.619 0.0003 0.989 69.619
0.0002 0.683 48.095 0.0002 0.684 48.125 0.0002 0.684 48.125
0.0001 0.360 25.319 0.0001 0.360 25.350 0.0001 0.360 25.350
0.0000 0.018 1.261 0.0000 0.018 1.294 0.0000 0.018 1.294
-0.0001 0.000 0.000 -0.0001 0.000 0.000 -0.0001 0.000 0.000
-0.0002 0.000 0.000 -0.0002 0.000 0.000 -0.0002 0.000 0.000
-0.0003 0.000 0.000 -0.0003 0.000 0.000 -0.0003 0.000 0.000
-0.0004 0.000 0.000 -0.0004 0.000 0.000 -0.0004 0.000 0.000
-0.0006 0.000 0.000 -0.0006 0.000 0.000 -0.0006 0.000 0.000
-0.0008 0.000 0.000 -0.0008 0.000 0.000 -0.0008 0.000 0.000
-0.0011 0.000 0.000 -0.0011 0.000 0.000 -0.0011 0.000 0.000
-0.0014 0.000 0.000 -0.0014 0.000 0.000 -0.0014 0.000 0.000
-0.0017 0.000 0.000 -0.0017 0.000 0.000 -0.0017 0.000 0.000
-0.0019 0.000 0.000 -0.0019 0.000 0.000 -0.0019 0.000 0.000
fc Fc fc Fc fc Fc
-0.0022 0.000 0.000 -0.0022 0.000 0.000 -0.0022 0.000 0.000
-0.0025 0.000 0.000 -0.0025 0.000 0.000 -0.0025 0.000 0.000
-0.0027 0.000 0.000 -0.0027 0.000 0.000 -0.0027 0.000 0.000
-0.0030 0.000 0.000 -0.0030 0.000 0.000 -0.0030 0.000 0.000
-0.0033 0.000 0.000 -0.0033 0.000 0.000 -0.0033 0.000 0.000
-0.0036 0.000 0.000 -0.0036 0.000 0.000 -0.0036 0.000 0.000
-0.0038 0.000 0.000 -0.0038 0.000 0.000 -0.0038 0.000 0.000
-0.0041 0.000 0.000 -0.0041 0.000 0.000 -0.0041 0.000 0.000
-0.0044 0.000 0.000 -0.0044 0.000 0.000 -0.0044 0.000 0.000
-0.0046 0.000 0.000 -0.0046 0.000 0.000 -0.0046 0.000 0.000
-0.0049 0.000 0.000 -0.0049 0.000 0.000 -0.0049 0.000 0.000
-0.0052 0.000 0.000 -0.0052 0.000 0.000 -0.0052 0.000 0.000
-342.81 -342.99 -342.99
-17.01 -17.01 -17.01
360.00 360.00 360.00
0.19 0.00 0.00
- As 'fs' = - As 'fs' = - As 'fs' =
As fy = As fy = As fy =
43.506
107.799
139.239
134.750
91.260
5.692
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
Mc
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
-522.25