EI Structural Analysis & Design 2

Question 1

The flexure formula for bending stress in a beam is σ = Mc/I. What does 'c' represent?

Accepted Answer

The distance from the neutral axis to the outermost fiber

Answer

The centroidal distance from the neutral axis to the base

Answer

The total depth of the beam cross-section

Answer

The radius of gyration of the cross-section

Question 2

For a rectangular cross-section of width b and height h, the moment of inertia about the centroidal horizontal axis is:

Accepted Answer

bh³/12

Answer

bh³/6

Answer

bh²/6

Answer

b³h/12

Question 3

The maximum shear stress in a solid circular shaft of radius r subjected to torque T is given by:

Accepted Answer

τ = 2T/(πr³)

Answer

τ = T/(πr³)

Answer

τ = T/(2πr³)

Answer

τ = 4T/(πr³)

Question 4

Which theorem states that the deflection at point A due to a unit load at point B equals the deflection at B due to a unit load at A?

Accepted Answer

Maxwell's Reciprocal Theorem

Answer

Castigliano's Theorem

Answer

Betti's Law

Answer

Virtual Work Principle

Question 5

A beam has a shear force V, first moment of area Q, moment of inertia I, and width b at a cross-section. The horizontal shear stress is:

Accepted Answer

τ = VQ/Ib

Answer

τ = VI/Qb

Answer

τ = VIb/Q

Answer

τ = Vb/QI

Question 6

In Mohr's circle for plane stress, the center of the circle is located at:

Accepted Answer

((σx + σy)/2, 0)

Answer

((σx - σy)/2, 0)

Answer

(0, τxy)

Answer

((σx + σy)/2, τxy)

Question 7

Principal stresses are defined as the normal stresses that occur on planes where the shear stress is:

Accepted Answer

Zero

Answer

Maximum

Answer

Equal to the normal stress

Answer

Minimum