The vertical component of shear resisted by vertical stirrup in the reinforced concrete beam is given by (where f y, A sv, d and S v have usual meaning)
- A0.87 fy Asv d / SvCorrect
- Bfy Asv d / Sv
- C0.87 fy Asv d² / Sv
- Dfy Asv d² / Sv
Solution
Concept
Vertical stirrup shear capacity
Formula
Vus = 0.87 fy Asv d / Sv
Step-by-step solution
1. Stirrups crossing a 45° crack: number ≈ d/Sv. 2. Vus = 0.87 fy Asv × d / Sv.
Explanation
IS 456 cl. 40.4 gives the shear carried by vertical stirrups at design stress 0.87 fy.
Why the other options are wrong
Options without 0.87 use characteristic yield; options with d² have wrong dimensions.
Shortcut
Vus = 0.87 fy Asv d/Sv.
Common mistake
Squaring d.
Correct answer: A) 0.87 fy Asv d / Sv