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Reinforced Concrete Beam Design
This calculation provides the moment and shear capacity of a rectangular beam.
Input:
CSA A23.3
Code
ϕ
c
ϕ
s
Concrete density factor, λ
width, b (in)
height, h (in)
clear cover, cc (in)
f
c
(ksi)
f
y
(ksi)
Long. bars
10M
15M
20M
25M
30M
35M
45M
55M
#3
#4
#5
#6
#7
#8
#9
#10
#11
#14
#18
stirrups
none
Shear reinforcement
Stirrups
10M
15M
20M
25M
30M
35M
45M
55M
#3
#4
#5
#6
#7
#8
#9
#10
#11
#14
#18
Stirrup spacing, s (in)
Shear crack angle, θ (deg)
b=12
b=12
h=24
h=24
d=22.1
d=22.1
c=4.2
c=4.2
εu=-0.0035
εs=0.0151
Fs
Fs
Fc
Fc
f=α1*f'c
a
a
Output:
Definitions
ϕ
c
= Resistance factor for concrete
ϕ
s
= Resistance factor for reinforcing steel
f
c
= Specified concrete strength (psi)
f
y
= Specified reinforcing steel yield strength (ksi)
A
s
= Area of reinforcing steel (in
2
)
α
1
= Stress modification factor for equivalent stress block
β = Cracked concrete shear factor
d = Depth to primary reinforcing (in)
b = Effective width of cross section (in)
A
v
= Area of transverse (shear) reinforcing (in
2
)
s = Spacing of rebar (in)
λ = Concrete density modification factor; 1.0 for normal density concrete
d
v
= Shear depth, normally taken as 0.9d (in)
θ = Assumed shear crack inclination (deg)
Determine the flexural capacity
M
r
= 193.6k-ft (262.6 kNm)
in
in²
in²
in
in
kip-ft
Determine the shear capacity
in²
in²
in
in
kip
kip
kip
kip
User Notes:
User notes
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