Nominal Shear Strength from Stirrups
Mediumshearstirrups
A beam has vertical two-legged stirrups at s = 200 mm spacing. Each effective leg has area 100 mm², fy = 400 MPa, and d = 450 mm. Use Vs = Avfyd/s with both legs crossing the shear crack and anchored. Find the nominal stirrup shear contribution Vs (no concrete contribution, no φ).
- A180 kN
- B90 kN
- C135 kN
- D360 kN
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Answer: A. 180 kN
Equation: Vs = Avfyd/s, where Av is the total area of all legs. Inputs: Av = 2(100) = 200 mm². Substitution: Vs = (200)(400)(450)/200 = 180,000 N = 180 kN. Wrong: 90 kN counts only one leg; 135 kN applies φ = 0.75 although a nominal value is requested; 360 kN double counts the legs (equivalent to halving the spacing).
N kN
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