In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a unif

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Question
In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a uniformly distributed load over its entire length, B.M. at the middle point of the beam will be zero if
Options
A. l = 2a
B. l = 4a
C. l < 2a
D. l > a
E. l > 3a.

Correct Answer

l = 2a

Strength of Materials problems

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1. Pick up the correct statement from the following :
Options
A. The distance of the eccentric axial load from the C.G. beyond which tension develops, is known as kern distance
B. In visco-elastic material, stress-strain relation is dependent on time
C. An instropic material has different properties is different directions
D. An orthotropic material has different properties in three mutually perpendicular directions
E. All the above.

2. A cantilever carries is uniformly distributed load W over its whole length and a force W acts at its free end upward. The net deflection of the free end will be
Options
A. zero
B. upward
C. downward
D. none of these.

3. A member which is subjected to reversible tensile or compressive stress may fail at a stress lower than the ultimate stress of the material. This property of metal, is called
Options
A. plasticity of the metal
B. elasticity of the metal
C. fatigue of the metal
D. workability of the metal.

4. In a square beam loaded longitudinally, shear develops
Options
A. on middle fibre along horizontal plane
B. on lower fibre along horizontal plane
C. on top fibre along vertical plane
D. equally on each fibre along horizontal plane
E. none of these.

6. The principal stresses at a point are 100, 100 and-200 kgf/cm², the octo hedral shear stress at the point is :
Options
A. 100 2 kg/cm²
B. 200 2 kg/cm²
C. 300 2 kg/cm²
D. 400 2 kg/cm²
E. 500 2 kg/cm².

7. If a member is subjected to a tensile force P, having its normal cross-section A, the resulting shear stress in an oblique plane inclined at an angle ? to its transverse plane, is
Options
A.
B.
C.
D.
E.

9. Strain energy of a member may be equated to
Options
A. average resistance x displacement
B. stress x strain x area of its cross-section
C. stress x strain x volume of the member
D. (stress)² x volume of the member + Young's modulus E.

10. If the width b and depth d of a beam simply supported with a central load are interchanged, the deflection at the centre of the beam will be changed in the ratio of
Options
A. b/d
B. d/b
C. (d/b)²
D. (b/d)²
E. (b/d)³.

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