Where it get the value 2 and 10 for the green circle? Please expl A rectangular beam with b = 270 mm, d = 500 mm is provided with 10mm vertical stirrups with fy = 276 MPa. Assuming fc' = 21 MPa;a) Determine the required spacing if V₁ = 35 kNb) Determine the required spacing if V₁ = 92 kNc) Determine the required spacing if V₁ = 236 kNd) Determine the required spacing if V₁ = 473 kNSolutionShear carried by concreteV = 0.17 A√√fe'b dV = 0.17 (1) √√21(270)(500) = 105,170 NOVС20.75(105170)2= 39,439 N a) V₁ = 35000 N <-b)V₁ =92000 NUVV₁ = " -V₁V. =SA,=920000.7527 (10)²4QV c2A, f,dS =V.SStirrups not necessary- 105170 = 17496.67 N=157.1mm²157.1( 276 )50017496.67= 1239 .08 mm

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Where it get the value 2 and 10 for the green circle? Please expl

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter9: Composite Construction

Section: Chapter Questions

Problem 9.1.3P

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Question

Where it get the value 2 and 10 for the green circle? Please expl

A rectangular beam with b = 270 mm, d = 500 mm is provided with 10
mm vertical stirrups with fy = 276 MPa. Assuming fc' = 21 MPa;
a) Determine the required spacing if V₁ = 35 kN
b) Determine the required spacing if V₁ = 92 kN
c) Determine the required spacing if V₁ = 236 kN
d) Determine the required spacing if V₁ = 473 kN
Solution
Shear carried by concrete
V = 0.17 A√√fe'b d
V = 0.17 (1) √√21(270)(500) = 105,170 N
OV
С
2
0.75(105170)
2
= 39,439 N

a) V₁ = 35000 N <-
b)
V₁ =92000 N
U
V
V₁ = " -V₁
V. =
S
A,
=
92000
0.75
27 (10)²
4
QV c
2
A, f,d
S =
V.
S
Stirrups not necessary
- 105170 = 17496.67 N
=157.1mm²
157.1( 276 )500
17496.67
= 1239 .08 mm

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