Civil Engineering MCQJE Level Civil Engineering
In plastic analysis, the 'collapse load' for a propped cantilever of span L under central point load is:
Strength of MaterialsStrength of MaterialsHARD
Choose the correct answer
A
Wc = 4Mp/L
B
Wc = 6Mp/L
C
Wc = 8Mp/L
D
Wc = 2Mp/L
Correct Answer
B. Wc = 6Mp/L
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Propped cantilever: plastic hinges form at fixed end and at load point (2 hinges for mechanism in 1-degree indeterminate structure). Using virtual work: Wc × δ = Mp × (θ + 2θ) = 3Mpθ and δ = L/2 × θ. So Wc = 3Mp/(L/2) = 6Mp/L. Plastic moment Mp = Zp × fy (Zp = plastic section modulus).
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