Strength of Materials MCQs with Answers & Solutions — Page 2

A cantilever wooden beam is 3 m long and carries a UDL of 4 kN/m. The cross-section of the beam is 100 mm width and 200 mm depth. What is the maximum…Bending Stress

A hollow steel column carrying an axial load of 2·1 MN has an ultimate stress of 510 N/mm². The internal diameter of the column is 150 mm. Consider…Simple Stress and Strain

The angle made by the resultant stress with the normal of the oblique plane is known as obliquity (φ) and is expressed as :Principal Stresses and Strains

A circular rod of 20 mm diameter and 400 mm length is subjected to a tensile force of 50 kN. What is the volumetric strain, if Poisson’s ratio = 0·25…Simple Stress and Strain

Which one of the following is a measure of the ability of a material to absorb energy before fracture ?Strain Energy

A 10 coils, 120 mm mean diameter closely coiled helical spring is made up of a 12 mm steel wire. If the spring is carrying an axial load of 150 N,…Springs

A bar of 2500 mm² cross-sectional area is subjected to an axial load of 150 kN. The extension over a gauge length of 100 mm is 0·05 mm. If the…Simple Stress and Strain

The principal stresses at a point in an elastic material are 2σ tensile and σ tensile. If an elastic limit in simple tension is 200 N/mm², according…Theories of Failure

On a principal plane, the value of shear stress isPrincipal Stresses and Strains

A steel punch can be stressed to maximum compressive stress of 800 MN/m². If the ultimate shear strength is 300 MN/m², the least diameter of the hole…Simple Stress and Strain

The resilience in simple tension or compression is (where σ is tensile or compressive stress, A is area of cross-section and E is modulus of…Strain Energy

The radius of the Mohr’s circle of stress is (where σx and σy are normal stresses, and τ is shear stress.)Principal Stresses and Strains

Which one of the following statements is not correct regarding theories of failure?Theories of Failure

In case of simple tension or compression, the maximum shear stress is equal toPrincipal Stresses and Strains

For a general two-dimensional stress system, the maximum principal stress σ₁ is (where σx and σy are direct stresses on mutually perpendicular planes…Principal Stresses and Strains

A circular log of timber has diameter d. The ratio of breadth b to depth h (b : h) of the rectangular beam that can be cut from a circular log for…Bending Stress

The torsional stiffness k is given by the relation (where G is rigidity modulus, J is polar moment of inertia and l is length.)Torsion of Shafts

A cast iron main tube 800 mm in diameter carries water at pressure head of 100 m. If the maximum permissible tensile stress is 20 MN/m² and the…Simple Stress and Strain

A cylindrical air drum is 2·25 m in diameter with plates 1·2 cm thick. The efficiencies of the longitudinal and circumferential joints are 75% and…Simple Stress and Strain

The maximum shear stress τmax for a beam of circular section is (where A is cross-sectional area and V is shear force.)Shear Stresses in Beams

Consider a rectangular hollow section having overall width B and overall depth D, and let the width and depth of the symmetrically placed hole be b…Bending Stress

A long rectangular wall is 2·5 m wide. The maximum wind pressure on the face of wall is 1·1 kN/m² and the specific weight of masonry is 22 kN/m³. If…Bending Stress

The deflection δ at the free end of a cantilever is (where P is point load at the free end, EI is flexural rigidity and L is length of the…Deflection of Beams

A cantilever beam of span L is subjected to uniformly distributed load of intensity W. If the flexural rigidity is EI, the slope θ and deflection δ…Deflection of Beams

A rectangular beam 150 mm × 240 mm deep is simply supported at the ends on a span of 4 m and carries a uniformly distributed load of 4 kN/m on the…Deflection of Beams

A cantilever of span L is subjected to a uniformly distributed load of intensity w from free end up to mid-span. Its deflection at the free end isDeflection of Beams

Stress at any point in a material is defined asSimple Stress and Strain

Bar ‘A’ has diameter d and length L. Bar ‘B’ has diameter 2d and length 2L. The ratio of extension of bar A to extension of bar B isSimple Stress and Strain

A bar of uniform cross-section A and length L is suspended from top. The extension of the bar due to self-weight only in terms of Young’s modulus E…Elongation Due to Self-Weight

The relationship among modulus of elasticity E, modulus of rigidity G and bulk modulus K isSimple Stress and Strain

Liming value of Poisson’s ratio areSimple Stress and Strain

Section modulus of the rectangular section with breadth b and depth d isBending Stress

What is the ratio of maximum shear stress to the average shear stress for a beam of rectangular cross-section?Shear Stresses in Beams

In the case of a cantilever of span L subjected to concentrated load W at the free end, the rotation (θ) and deflection (y) of the free end areDeflection of Beams

With usual notations, the torsional equation for shafts of circular cross-sections isTorsion of Shafts

The angle between the direction of the maximum principal plane and the maximum shear plane isPrincipal Stresses and Strains

In a thin cylinder of diameter d, thickness t subjected to internal pressure, the circumferential stress developed isSimple Stress and Strain

The shape factor of a circular section with radius R isPlastic Modulus

If the radius of a wire stretched by a load is doubled, then its Young’s Modulus willSimple Stress and Strain

Which of the following material parameter have no units?Simple Stress and Strain

If a material expands freely due to heating, what type of stress is developed?Simple Stress and Strain

The assumption of ‘Plane section remains plane’ in Bending Theory meansBending Stress

A cantilever beam of length ‘L’ is subjected to a downward load of 1600 kN uniformly distributed over its length and concentrated upward load P at…Deflection of Beams

On the principles of Strain Energy, in a rod AB of length L placed vertically with end A fixed at top and end B with a flange, a load W is released…Strain Energy

Which of the following cross sections will have least shear stress along horizontal axis as shown below:Shear Stresses in Beams

An angle θ in the physical element is represented in a Mohr’s Circle asPrincipal Stresses and Strains

A disc is hanging from a thin rod as shown in the figure below. The rod of length ‘L’ is fixed at the top and connected to the disc at the bottom…Torsion of Shafts

According to the elastic failure theory which of the following statement(s) is/are correct? i. Failure in ductile materials is specified through…Theories of Failure

For a cube in three dimensions X, Y and Z, with plane of reference being X-Y, which of the following denotes that the problem is a plane strain…Plane Stress and Plane Strain

The deformation of a spring produced by a unit load is calledSprings