39 real Strength of Materials questions from the Mechanical Core bank, as asked in Indian campus drives and tech interviews. Every question has a verified answer and an AI-tutor explanation on placd — free to start.
1. What is Hooke's law?
Junior
A.T/J = τ/r = Gθ/L relates torque, polar moment of inertia, shear stress at radius r and angle of twist for a circular shaft
B.within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
C.the ratio of the second moment of area to the distance of the extreme fibre, so that bending stress is simply the moment divided by it
D.the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
A.Hooke's law — von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data
B.Hooke's law — within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
C.Hooke's law — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
D.Hooke's law — T/J = τ/r = Gθ/L relates torque, polar moment of inertia, shear stress at radius r and angle of twist for a circular shaft
5. Which term means: "ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material"?
A.Poisson's ratio — the ratio of the second moment of area to the distance of the extreme fibre, so that bending stress is simply the moment divided by it
B.Poisson's ratio — ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
C.Poisson's ratio — critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
D.Poisson's ratio — von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data
A.Flexure formula — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
B.Flexure formula — T/J = τ/r = Gθ/L relates torque, polar moment of inertia, shear stress at radius r and angle of twist for a circular shaft
C.Flexure formula — M/I = σ/y = E/R relates bending moment, second moment of area, bending stress at distance y and radius of curvature of a beam
D.Flexure formula — ratio of peak local stress at a notch or hole to nominal stress, equal to 3 for a small circular hole in a wide plate under tension
A.von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data
B.graphical construction whose centre is the mean normal stress and radius is the maximum in-plane shear stress, used to read principal stresses and their planes
C.T/J = τ/r = Gθ/L relates torque, polar moment of inertia, shear stress at radius r and angle of twist for a circular shaft
D.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
A.Torsion formula — critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
B.Torsion formula — T/J = τ/r = Gθ/L relates torque, polar moment of inertia, shear stress at radius r and angle of twist for a circular shaft
C.Torsion formula — ratio of peak local stress at a notch or hole to nominal stress, equal to 3 for a small circular hole in a wide plate under tension
D.Torsion formula — M/I = σ/y = E/R relates bending moment, second moment of area, bending stress at distance y and radius of curvature of a beam
A.circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
B.the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
C.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
D.graphical construction whose centre is the mean normal stress and radius is the maximum in-plane shear stress, used to read principal stresses and their planes
14. Which term means: "graphical construction whose centre is the mean normal stress and radius is the maximum in-plane shear stress, used to read principal stresses and their planes"?
A.Mohr's circle — graphical construction whose centre is the mean normal stress and radius is the maximum in-plane shear stress, used to read principal stresses and their planes
B.Mohr's circle — the deflection at a point in the direction of a load equals the partial derivative of the total strain energy with respect to that load
C.Mohr's circle — M/I = σ/y = E/R relates bending moment, second moment of area, bending stress at distance y and radius of curvature of a beam
D.Mohr's circle — critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
A.graphical construction whose centre is the mean normal stress and radius is the maximum in-plane shear stress, used to read principal stresses and their planes
B.M/I = σ/y = E/R relates bending moment, second moment of area, bending stress at distance y and radius of curvature of a beam
C.the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
D.critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
17. Which term means: "critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield"?
A.Euler's buckling load — graphical construction whose centre is the mean normal stress and radius is the maximum in-plane shear stress, used to read principal stresses and their planes
B.Euler's buckling load — critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
C.Euler's buckling load — the deflection at a point in the direction of a load equals the partial derivative of the total strain energy with respect to that load
D.Euler's buckling load — ratio of peak local stress at a notch or hole to nominal stress, equal to 3 for a small circular hole in a wide plate under tension
A.graphical construction whose centre is the mean normal stress and radius is the maximum in-plane shear stress, used to read principal stresses and their planes
B.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
C.within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
D.circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
A.Thin cylinder hoop stress — critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
B.Thin cylinder hoop stress — T/J = τ/r = Gθ/L relates torque, polar moment of inertia, shear stress at radius r and angle of twist for a circular shaft
C.Thin cylinder hoop stress — ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
D.Thin cylinder hoop stress — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
23. Which term means: "von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data"?
A.Distortion energy theory — the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
B.Distortion energy theory — von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data
C.Distortion energy theory — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
D.Distortion energy theory — the deflection at a point in the direction of a load equals the partial derivative of the total strain energy with respect to that load
26. Which term means: "ratio of peak local stress at a notch or hole to nominal stress, equal to 3 for a small circular hole in a wide plate under tension"?
A.Stress concentration factor — the point in a cross-section through which a transverse load must pass if the member is to bend without twisting
B.Stress concentration factor — the ratio of the second moment of area to the distance of the extreme fibre, so that bending stress is simply the moment divided by it
C.Stress concentration factor — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
D.Stress concentration factor — ratio of peak local stress at a notch or hole to nominal stress, equal to 3 for a small circular hole in a wide plate under tension
29. Which term means: "the ratio of the second moment of area to the distance of the extreme fibre, so that bending stress is simply the moment divided by it"?
A.Section modulus — within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
B.Section modulus — M/I = σ/y = E/R relates bending moment, second moment of area, bending stress at distance y and radius of curvature of a beam
C.Section modulus — critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
D.Section modulus — the ratio of the second moment of area to the distance of the extreme fibre, so that bending stress is simply the moment divided by it
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