Mechanical and structural analysis miscellaneous
- For the simply supported beam of length L, subjected to a uniformly distributed moment M kN–m per unit length as shown in the figure, the bending moment (in kN–m) at the mid-span of the beam is
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Moment about A,
RB × L = M × L
∴ RB = MAt mid span, BM = RB × L - m × L = 0 2 2 Correct Option: A
Moment about A,
RB × L = M × L
∴ RB = MAt mid span, BM = RB × L - m × L = 0 2 2
- A solid circular shaft of diameter d and length L is fixed at one end and free at the other end. A torque t is applied at the free end. The shear modulus of the material is G. The angle of twist at three free ends is
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T = G.θ J L θ = TL GJ
Correct Option: B
T = G.θ J L θ = TL GJ
- The effective length of a column of length L fixed against rotation and translation at one end and free at the other end is
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NA
Correct Option: D
NA
- The number of independent elastic constants for a linear elastic isotropic and homogeneous material is
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NA
Correct Option: C
NA
- The major and minor principal stresses at a point are 3 MPa and –3 MPa respectively. The maximum shear stress at the point is
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Max shear stress
= σ1 - σ2 2 = 3 - (-3) = 3 mPa 2 Correct Option: B
Max shear stress
= σ1 - σ2 2 = 3 - (-3) = 3 mPa 2