Strength of Materials interview questions

1. A.shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
2. B.within the elastic limit stress is directly proportional to strain, the constant of proportionality being the modulus of elasticity
3. C.T/J = τ/r = Gθ/L relates applied torque, polar moment of inertia, shear stress at a radius and angle of twist per unit length
4. D.parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis

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1. A.Shear stress distribution in a rectangular beam
2. B.Hooke's law
3. C.Principal stresses
4. D.Poisson's ratio

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1. A.Hooke's law — normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
2. B.Hooke's law — M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam
3. C.Hooke's law — within the elastic limit stress is directly proportional to strain, the constant of proportionality being the modulus of elasticity
4. D.Hooke's law — parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis

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1. A.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel
2. B.normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
3. C.E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
4. D.parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis

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1. A.Poisson's ratio
2. B.Shear force–bending moment relation
3. C.Principal stresses
4. D.Section modulus

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1. A.Poisson's ratio — normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
2. B.Poisson's ratio — E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
3. C.Poisson's ratio — moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it
4. D.Poisson's ratio — ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel

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1. A.shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
2. B.parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis
3. C.moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it
4. D.M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam

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1. A.Section modulus
2. B.Torsion equation
3. C.Shear force–bending moment relation
4. D.Hooke's law

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1. A.Shear force–bending moment relation — parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis
2. B.Shear force–bending moment relation — shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
3. C.Shear force–bending moment relation — T/J = τ/r = Gθ/L relates applied torque, polar moment of inertia, shear stress at a radius and angle of twist per unit length
4. D.Shear force–bending moment relation — moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it

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1. A.critical axial load on a long column is π²EI divided by the square of the effective length, valid only when slenderness is high enough for elastic buckling
2. B.M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam
3. C.E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
4. D.within the elastic limit stress is directly proportional to strain, the constant of proportionality being the modulus of elasticity

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1. A.Flexure formula
2. B.Relation between elastic constants
3. C.Torsion equation
4. D.Shear force–bending moment relation

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1. A.Flexure formula — parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis
2. B.Flexure formula — E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
3. C.Flexure formula — M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam
4. D.Flexure formula — moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it

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1. A.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel
2. B.E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
3. C.critical axial load on a long column is π²EI divided by the square of the effective length, valid only when slenderness is high enough for elastic buckling
4. D.normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius

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1. A.Relation between elastic constants
2. B.Poisson's ratio
3. C.Flexure formula
4. D.Principal stresses

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1. A.Relation between elastic constants — shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
2. B.Relation between elastic constants — ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel
3. C.Relation between elastic constants — moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it
4. D.Relation between elastic constants — E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known

Answer + AI explanation with Pro

1. A.normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
2. B.E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
3. C.shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
4. D.moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it

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1. A.Section modulus
2. B.Shear force–bending moment relation
3. C.Flexure formula
4. D.Shear stress distribution in a rectangular beam

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1. A.Section modulus — ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel
2. B.Section modulus — moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it
3. C.Section modulus — E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
4. D.Section modulus — M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam

Answer + AI explanation with Pro

1. A.critical axial load on a long column is π²EI divided by the square of the effective length, valid only when slenderness is high enough for elastic buckling
2. B.E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known
3. C.normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
4. D.ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel

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1. A.Relation between elastic constants
2. B.Poisson's ratio
3. C.Euler's buckling load
4. D.Shear force–bending moment relation

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1. A.Euler's buckling load — ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel
2. B.Euler's buckling load — M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam
3. C.Euler's buckling load — T/J = τ/r = Gθ/L relates applied torque, polar moment of inertia, shear stress at a radius and angle of twist per unit length
4. D.Euler's buckling load — critical axial load on a long column is π²EI divided by the square of the effective length, valid only when slenderness is high enough for elastic buckling

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1. A.normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
2. B.critical axial load on a long column is π²EI divided by the square of the effective length, valid only when slenderness is high enough for elastic buckling
3. C.shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
4. D.T/J = τ/r = Gθ/L relates applied torque, polar moment of inertia, shear stress at a radius and angle of twist per unit length

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1. A.Flexure formula
2. B.Hooke's law
3. C.Torsion equation
4. D.Poisson's ratio

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1. A.Torsion equation — within the elastic limit stress is directly proportional to strain, the constant of proportionality being the modulus of elasticity
2. B.Torsion equation — M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam
3. C.Torsion equation — parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis
4. D.Torsion equation — T/J = τ/r = Gθ/L relates applied torque, polar moment of inertia, shear stress at a radius and angle of twist per unit length

Answer + AI explanation with Pro

1. A.within the elastic limit stress is directly proportional to strain, the constant of proportionality being the modulus of elasticity
2. B.T/J = τ/r = Gθ/L relates applied torque, polar moment of inertia, shear stress at a radius and angle of twist per unit length
3. C.normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
4. D.shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero

Answer + AI explanation with Pro

1. A.Flexure formula
2. B.Shear stress distribution in a rectangular beam
3. C.Principal stresses
4. D.Shear force–bending moment relation

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1. A.Principal stresses — parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis
2. B.Principal stresses — shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
3. C.Principal stresses — normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
4. D.Principal stresses — E = 2G(1+μ) = 3K(1−2μ), so any elastic constant can be found when two others are known

Answer + AI explanation with Pro

1. A.M/I = σ/y = E/R links bending moment, second moment of area, bending stress at a fibre and radius of curvature of the beam
2. B.normal stresses on the pair of planes where shear stress vanishes, found from Mohr's circle as the centre plus or minus the radius
3. C.shear force is the rate of change of bending moment along a beam, so bending moment is maximum where shear force is zero
4. D.parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis

Answer + AI explanation with Pro

1. A.Shear stress distribution in a rectangular beam
2. B.Shear force–bending moment relation
3. C.Euler's buckling load
4. D.Torsion equation

Answer + AI explanation with Pro

1. A.Shear stress distribution in a rectangular beam — parabolic across the depth with zero at top and bottom and a maximum of 1.5 times the average shear stress at the neutral axis
2. B.Shear stress distribution in a rectangular beam — T/J = τ/r = Gθ/L relates applied torque, polar moment of inertia, shear stress at a radius and angle of twist per unit length
3. C.Shear stress distribution in a rectangular beam — moment of inertia divided by the distance of the extreme fibre from the neutral axis, so bending stress equals moment divided by it
4. D.Shear stress distribution in a rectangular beam — ratio of lateral strain to longitudinal strain under uniaxial load, about 0.15 to 0.20 for concrete and 0.30 for steel

Answer + AI explanation with Pro