Strength of Materials interview questions

1. 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
2. B.within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
3. 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
4. D.the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension

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1. A.Section modulus
2. B.Hooke's law
3. C.Castigliano's second theorem
4. D.Mohr's circle

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1. 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
2. B.Hooke's law — within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
3. C.Hooke's law — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
4. 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

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1. A.von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data
2. B.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
3. C.circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
4. D.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

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1. A.Flexure formula
2. B.Thin cylinder hoop stress
3. C.Poisson's ratio
4. D.Shear centre

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1. 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
2. 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
3. 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
4. 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

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1. A.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
2. 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
3. C.circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
4. D.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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1. A.Euler's buckling load
2. B.Stress concentration factor
3. C.Hooke's law
4. D.Flexure formula

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1. A.Flexure formula — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
2. 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
3. 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
4. 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

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1. A.von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data
2. 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
3. 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
4. D.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material

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1. A.Torsion formula
2. B.Poisson's ratio
3. C.Mohr's circle
4. D.Stress concentration factor

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1. 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
2. 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
3. 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
4. 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

Answer + AI explanation with Pro

1. A.circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
2. B.the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
3. C.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
4. 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

Answer + AI explanation with Pro

1. A.Flexure formula
2. B.Hooke's law
3. C.Thin cylinder hoop stress
4. D.Mohr's circle

Answer + AI explanation with Pro

1. 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
2. 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
3. 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
4. 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

Answer + AI explanation with Pro

1. 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
2. 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
3. C.the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
4. 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

Answer + AI explanation with Pro

1. A.Euler's buckling load
2. B.Shear centre
3. C.Torsion formula
4. D.Stress concentration factor

Answer + AI explanation with Pro

1. 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
2. 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
3. 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
4. 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

Answer + AI explanation with Pro

1. 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
2. B.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
3. C.within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
4. D.circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress

Answer + AI explanation with Pro

1. A.Section modulus
2. B.Thin cylinder hoop stress
3. C.Torsion formula
4. D.Castigliano's second theorem

Answer + AI explanation with Pro

1. 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
2. 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
3. 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
4. D.Thin cylinder hoop stress — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress

Answer + AI explanation with Pro

1. 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
2. B.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
3. C.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
4. D.von Mises criterion predicting yield of ductile metals when distortion energy equals that at uniaxial yield, the closest match to test data

Answer + AI explanation with Pro

1. A.Maximum shear stress theory
2. B.Distortion energy theory
3. C.Euler's buckling load
4. D.Castigliano's second theorem

Answer + AI explanation with Pro

1. A.Distortion energy theory — the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
2. 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
3. C.Distortion energy theory — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
4. 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

Answer + AI explanation with Pro

1. A.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
2. B.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
3. C.the Tresca criterion, predicting yielding when the maximum shear stress reaches half the yield strength in simple tension
4. D.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

Answer + AI explanation with Pro

1. A.Torsion formula
2. B.Section modulus
3. C.Hooke's law
4. D.Stress concentration factor

Answer + AI explanation with Pro

1. 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
2. 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
3. C.Stress concentration factor — circumferential stress pd/2t in a pressurised thin shell, twice the longitudinal stress and hence the governing design stress
4. 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

Answer + AI explanation with Pro

1. A.critical compressive load π²EI/Le² for a long slender column, valid only above the slenderness ratio at which the Euler stress drops below yield
2. B.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
3. C.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.3 for steel and 0.5 for a perfectly incompressible material
4. D.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

Answer + AI explanation with Pro

1. A.Flexure formula
2. B.Hooke's law
3. C.Mohr's circle
4. D.Section modulus

Answer + AI explanation with Pro

1. A.Section modulus — within the proportional limit stress is directly proportional to strain, the constant of proportionality being Young's modulus
2. 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
3. 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
4. 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

Answer + AI explanation with Pro