Civil Engineering MCQJE Level Civil Engineering
In 'combined bending and torsion' for a circular shaft, the 'equivalent twisting moment' Teq is:
Strength of MaterialsStrength of MaterialsMEDIUM
Choose the correct answer
A
Teq = M + T
B
Teq = √(M² + T²) — combines bending and torsion effects for max shear stress check
C
Teq = (M + T)/2
D
Teq = M × T
Correct Answer
B. Teq = √(M² + T²) — combines bending and torsion effects for max shear stress check
Why is this the answer?
For shaft with bending M and torque T: Equivalent torque Teq = √(M²+T²) (used with τ formula: τ = Teq×r/J for max shear). Equivalent bending moment Meq = (M + √(M²+T²))/2 (used with bending stress σ = Meq/Z). Principal stress: σ1,2 = σ_b/2 ± √((σ_b/2)²+τ²). Design shafts for: Teq and τ ≤ τ_allow, or Meq and σ ≤ σ_allow.
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