Strength of Materials MCQs with Answers & Solutions

The modulus of elasticity of high-tensile steel isSimple Stress and Strain

According to the maximum principal stress theory, what is the ratio between normal stress to yield stress of a material such that yielding of…Theories of Failure

For the case of plane stress problem, an element is subjected to bi-axial tensile. The normal stresses are 10 MPa and 5 MPa and shear stress is 6…Principal Stresses and Strains

Which of the following diagram correctly represents the state of stress at a point above the neutral axis of the cantilever beam with uniformly…State of Stress in Beams

As per the maximum principal stress theory, when a shaft is subjected to a bending moment M and torque T and if σ is the allowable stress in axial…Theories of Failure

A solid circular column of radius “r” is subjected to compressive point load. The maximum distance of the point of application of load from the…Core or Kernel of Section

A cantilever beam with inverted T cross-section carries uniformly distributed load. Where does the maximum magnitude of the bending stress occur?Bending Stress

The shear stress at the neutral axis in a beam of rectangular section with width is equal to 25 mm and effective depth 50 mm subjected to shear force…Shear Stresses in Beams

The cross-section of a bar is subjected to a uni-axial tensile stress “p”. The shear stress on a plane inclined at θ to the cross-section of the bar…Principal Stresses and Strains

If all the dimensions of a prismatic bar of circular cross-section suspended freely from the ceiling of a roof are doubled, then the total elongation…Elongation Due to Self-Weight

Consider the following statements, choose the correct option Assertion (A): A mild steel tension specimen has a cup and cone fracture at failure.…Simple Stress and Strain

What is the slope at the free end of a cantilever beam of length “l” subjected to a moment M at the free end? EI is flexural rigidity of the beam.Deflection of Beams

What is the expression for the plastic modulus of rectangular section of width b and depth d?Bending Stress

The relationship between Young’s Modulus (E), Modulus of Rigidity (G) and Poisson’s ratio (µ) is given by the expressionSimple Stress and Strain

Consider the following statements regarding Mohr’s circle of stress 1. The coordinates of any point on the circumference represent the normal and…Principal Stresses and Strains

According to the Maximum Shear Stress Theory (Tresca’s Theory), yielding occurs when the maximum shear stress in a material reachesPrincipal Stresses and Strains

For a circular shaft subjected to pure torsion, the shear stress distribution across the section isTorsion of Shafts

Which of the following statements regarding "Bending Moments" and "Shear Forces" is incorrect?Shear Force and Bending Moment

Plane strain conditions are typically assumed to exist in which of the following structural members?Plane Stress and Plane Strain

In the theory of pure bending of beams, the "Neutral Axis" of the cross-section is the layer whereBending Stress

Assertion (A): In a state of pure shear, the principal stresses are equal in magnitude but opposite in sign. Reason (R): On the Mohr’s circle for…Principal Stresses and Strains

A ductile structure is defined as one for which the plastic deformation before fractureSimple Stress and Strain

If an element of a stressed body is in a state of pure shear with a magnitude of 40 N/mm², then the magnitude of maximum principal stress at that…Principal Stresses and Strains

A beam has a triangular cross-section having base 40 mm and altitude 60 mm. If this section is subjected to a shear force of 36000 N, then the…Shear Stresses in Beams

The ratio of Young’s Modulus of Elasticity to Modulus of Rigidity for a material having Poissons’s ratio 0.2 isSimple Stress and Strain

A bar of 4 cm in diameter is subjected to an axial load of 4 t. The extension of the bar over a gauge length of 2 cm is 0.03 cm. The decrease in…Simple Stress and Strain

In an experiment, it is found that the Bulk modulus of a material is equal to its shear modulus. The Poisson’s ratio isSimple Stress and Strain

If a cantilever carries a uniformly varying load (zero at the free end and w per meter at the fixed end) over its entire length, then the shape of a…Shear Force and Bending Moment

Bending moment (M) and torque (T) is applied on a solid circular shaft. If maximum bending stress equals to maximum shear stress developed, then M is…Torsion of Shafts

For two shafts connected in a parallel, which of the following statement is true?Torsion of Shafts

A shaft was initially subjected to a bending moment and then was subjected to torsion. If the magnitude of a bending moment is found to be the same…Torsion of Shafts

When two mutually perpendicular principal stresses are unequal but alike, then the maximum shear stress is represented byPrincipal Stresses and Strains

A circular shaft can transmit a torque of 5 kN-m. If torque is reduced to 4 kN-m, then the maximum value of bending moment that can be applied to a…Torsion of Shafts

When the temperature of a body is increased, the stress induced will beSimple Stress and Strain

The component of stress acting on infinitesimal element is shown in the figure. Which one of the following statements is not correct ? (Refer to the…Simple Stress and Strain

A rectangular block is subjected to two perpendicular stresses of 10 MPa tension and 10 MPa compression. What are the stresses on planes inclined at…Principal Stresses and Strains

An element in plane stress is subjected to normal stresses p₁ = 120 N/mm² and p₂ = 45 N/mm² (both are tensile stresses) and shearing stress of 30…Principal Stresses and Strains

At a point in an elastic material, a direct tensile stress of 70 N/mm² and a direct compressive stress of 50 N/mm² are applied on planes at right…Principal Stresses and Strains

A material has strength in tension, compression and shear as 30 N/mm², 90 N/mm² and 25 N/mm², respectively. If a specimen of diameter 25 mm is tested…Principal Stresses and Strains

Two parallel walls, 8 m apart, are stayed together by a steel rod of 20 mm diameter passing through metal plates and nuts at each end. The nuts are…Simple Stress and Strain

Which one of the following statements is not correct regarding principal stresses and planes ?Principal Stresses and Strains

Given the state of stress σx = σy = − σ₀ (where σ₀ > 0) and τxy = 0 as shown in the figure, which one of the following statements is not correct ?…Principal Stresses and Strains

The tensile stresses at a point across two mutually perpendicular planes are 150 N/mm² and 80 N/mm². What are the tangential and normal stresses,…Principal Stresses and Strains

A central load of 2500 N is acting on a leaf spring. The leaf spring is to be made of 12 steel plates of 6 cm width and 5 mm thickness. If the…Springs

A 150 N load is acting on a close coiled helical spring. The mean coil diameter has to be 12 times that of the wire diameter. If the maximum shear…Springs

A rod which tapers uniformly from 30 mm diameter to 15 mm diameter in a length of 300 mm is subjected to an axial load of 6 kN. If Young’s modulus is…Simple Stress and Strain

An element 2 cm long is extended to twice of its initial length and then compressed to its initial length. The engineering strains for the extension…Simple Stress and Strain

A simply supported beam of span 3·0 m has a cross-section 120 mm × 180 mm. If the permissible stress in the material of the beam is 10 N/mm², what is…Bending Stress

The stepped bar shown in the figure is made up of two different materials. Material 1 has Young’s modulus = 2 × 10⁵ N/mm², while that of Material 2…Simple Stress and Strain

What is the maximum torque T_E that can be applied to a solid steel cylindrical shaft 8 cm in diameter, if the shaft is to remain elastic ? (Take the…Torsion of Shafts