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

In σ = Mc/I, c is the perpendicular distance from the neutral axis to the extreme fiber where stress is maximum.

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

The moment of inertia of a rectangle about its centroidal x-axis is I = bh³/12.

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

For a solid circular shaft, τ_max = Tr/J = T·r/(πr⁴/2) = 2T/(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

Maxwell's Reciprocal Theorem states that flexibility coefficients are symmetric: δ_AB = δ_BA.

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

The shear formula τ = VQ/(Ib) gives the average horizontal shear stress at a given level in a beam.

(EI) Engineer Intern Certification Practice Test