Design Shear Strength of a Concrete Beam
Easyshearstrength-factor
At a beam section the nominal shear contribution of the concrete is Vc = 85 kN and that of the stirrups is Vs = 55 kN. Use Vn = Vc + Vs and φ = 0.75; all other shear limits are satisfied. What is the design shear strength φVn?
- A118.75 kN
- B140 kN
- C126.25 kN
- D105 kN
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Answer: D. 105 kN
Equation: φVn = φ(Vc + Vs). Inputs: Vc = 85 kN, Vs = 55 kN, φ = 0.75. Substitution: Vn = 140 kN; φVn = 0.75(140) = 105 kN. Wrong: 118.75 kN applies φ only to Vc (0.75·85 + 55); 126.25 kN applies φ only to Vs (85 + 0.75·55); 140 kN is the nominal strength with no φ.
kN
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