Strength of Materials MCQs with Answers & Solutions — Page 4

When body is subjected to three mutually perpendicular stresses of equal intensity, the ratio of direct stress to the corresponding volumetric strain…Simple Stress and Strain

As the elastic limit reaches, tensile strainSimple Stress and Strain

Every material obeys the Hook’s law within itsSimple Stress and Strain

A steel rod of 2cm diameter and 5m long is subjected to an axial pull of 3000 kg. If E = 2.1 × 10^6 N/mm2, the elongation of the rod will beSimple Stress and Strain

Along the principal plane subjected to maximum principal stressPrincipal Stresses and Strains

Simple bending equation (with usual notation) isBending Stress

When a rectangular beam is loaded transversely, the maximum compressive stress develops onBending Stress

In a shaft, shear stress intensity at a point is notTorsion of Shafts

A shaft 9 m long is subjected to a torque 30 t-m at a point 3m distant from either end. The reactive torque at the nearer end will beTorsion of Shafts

Beams of uniform strength are preferred to those of uniform section because these are economical forBending Stress

Based on carbon content, mild steel typically containsSimple Stress and Strain

The property that defines steel’s ability to absorb energy and withstand impact without fracture isStrain Energy

For a linearly elastic, isotropic material, the number of independent elastic constants areSimple Stress and Strain

For a material that is inelastic and anisotropic, how many independent elastic constants are required to describe its stress-strain relationship…Simple Stress and Strain

The reduction in the number of elastic constants in anisotropic materials is due toSimple Stress and Strain

A steel beam and an aluminium beam of identical dimensions are subjected to the same bending moment. The Young's modulus of steel is twice that of…Bending Stress

A thin rectangular plate is subjected to the following plane stress state: σx = 120 MPa (Tensile), σy = 60 MPa (Tensile) and τxy = 40 MPa. What is…Principal Stresses and Strains

In a plane strain condition, εx = 400×10–6, εy = –100×10–6 and γxy = 300×10–6. What is the volumetric strain?Plane Stress and Plane Strain

The volumetric strain for a cube under triaxial stresses εx = 100 MPa, εy = 100 MPa, εz = 300 MPa, (tension) E = 200, GPa = 200 × 103 MPa and ν = 0.3…Simple Stress and Strain

If G = 40 GPa and ν =0.3, what is the value of E?Simple Stress and Strain

A cube of material is under a hydrostatic pressure of 30 MPa. What is the shear stress on the face?Principal Stresses and Strains

A shaft is subjected to axial load and torsion simultaneously. Which stress theory should be used?Theories of Failure

A ductile steel component has a yield strength σy = 300 MPa. At a critical point, the principal stresses are σ1 = 200 MPa (tensile), σ2 = 100 MPa…Theories of Failure

A component made of steel (yield strength σy = 400 MPa) is subjected to plane stress: σ1 = 220 MPa, σ2 = 80 MPa and τ12 = 60 MPa. What is the von…Theories of Failure

A critical concrete beam in a bridge is experiencing the following stresses at a point where the axial tension threatening to crack is 80 MPa, the…Principal Stresses and Strains

A reinforced concrete beam-column joint in a seismic-resistant frame is subjected to pure shear stress due to earthquake loading. The stress state at…Principal Stresses and Strains

A steel bridge girder instrumented with strain gauges records the following at a critical point during a load test: Longitudinal strain (ε1) : 90 ×…Principal Stresses and Strains

A structural steel component (yield stress = 300 MPa) is subjected to the following principal stresses under plane stress conditions: σ1 = 180 MPa…Theories of Failure

Given σ1 = 80 MPa, σ2 = 20 MPa and τ12 = 30 MPa, calculate the maximum principal stress.Principal Stresses and Strains

A rectangular beam 200 mm wide × 300 mm deep is subjected to a 30 kN-m bending moment. Find the maximum bending stress.Bending Stress

A solid circular shaft of diameter 50 mm transmits a torque of 0.3 kN-m. What is the maximum shear stress?Torsion of Shafts

A beam with section modulus Z = 2 × 106 mm3 is subjected to a bending moment of 10 kN-m. What is the maximum bending stress?Bending Stress

In structural analysis, positive shear force causesShear Force and Bending Moment

A bar carries axial tension of 50 MPa and bending stress of 80 MPa. What is the maximum normal stress?Simple Stress and Strain

A circular shaft resists both bending and torsion. Where does the maximum normal stress occur?Principal Stresses and Strains

The slope of the shear force diagram of a beam givesShear Force and Bending Moment

A solid circular shaft is subjected to a bending moment of 120 Nm and a torque of 160 Nm. Using the Tresca criterion, what is the equivalent bending…Theories of Failure

If a beam has a constant bending moment over a span, the deflection curve in that region isDeflection of Beams

If the bending moment at a section is zero, the curvature at that section isBending Stress

In beam theory, which one of the following gives the correct order of integration to find deflection from loading?Deflection of Beams

A solid circular shaft of diameter 40 mm is subjected to a torque of 1 kNm. The maximum shear stress (in MPa) isTorsion of Shafts

Consider the following statements regarding the difference between true strains and engineering strains : 1. True strains for equivalent amounts of…Simple Stress and Strain

Which one of the following statements is correct regarding the Mohr’s circle of a plane Tensor ?Principal Stresses and Mohr's Circle

Consider the following regarding the general situations in linear elasticity : 1. The stress field is a function of only the boundary conditions,…Simple Stress and Strain

Consider the following statements regarding two dimensional stress formulations : 1. In a plane stresses are identical for any given geometry,…Principal Stresses and Strains

Which one of the following is the equation for extension of whole length of a uniformly tapering rectangular bars where b₁ and b₂ are the limits of…Simple Stress and Strain

A conical bar tapers uniformly from a diameter of 15 mm to a diameter of 40 mm in a length of 400 mm. What is the elongation of the bar under an…Simple Stress and Strain

A circular section tapering bar is rigidly fixed at both the ends. The diameter changes from 75 mm at one end to 150 mm at the other end, in a length…Simple Stress and Strain

A thin type of steel is to be shrunk on a rigid wheel of 900 mm diameter. What is the internal diameter of the tyre if the hoop stress is limited to…Thin Cylinders

Consider the following statements regarding the effective stress and effective strain : 1. σ̄ and ε̄ will reduce to σx and εx in an x-direction…Theories of Failure