Questions from Mechanics


Q: A retaining wall (Fig. a) is constructed using steel

A retaining wall (Fig. a) is constructed using steel W-shape columns and concrete panel infill (Fig. b). Each column is subjected to lateral soil pressure with peak intensity qo (Figs. b and c). The t...

See Answer

Q: A beam of square cross section (a = length of each

A beam of square cross section (a = length of each side) is bent in the plane of a diagonal (see figure). By removing a small amount of material at the top and bottom corners, as shown by the shaded t...

See Answer

Q: The cross section of a rectangular beam having a width b and

The cross section of a rectangular beam having a width b and height h is shown in part a of the figure. For reasons unknown to the beam designer, it is planned to add structural projections of width b...

See Answer

Q: (a) A simple beam AB with length L and height

(a) A simple beam AB with length L and height h supports a uniform load of intensity q (see the figure part a). Obtain a formula for the curvature shortening l of this beam. Also, obtain a formula for...

See Answer

Q: A beam with a sliding support at B is loaded by a

A beam with a sliding support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-force and bending-moment diag...

See Answer

Q: A propped cantilever beam of a length 2L with a support at

A propped cantilever beam of a length 2L with a support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-for...

See Answer

Q: The continuous frame ABC has a pin support at A, roller

The continuous frame ABC has a pin support at A, roller supports at B and C, and a rigid corner connection at B (see figure). Members AB and BC each have flexural rigidity EI. A moment M0 acts counter...

See Answer

Q: The continuous frame ABC has a pin support at A, roller

The continuous frame ABC has a pin support at A, roller supports at B and C, and a rigid corner connection at B (see figure). Members AB and BC each have flexural rigidity EI. A moment M0 acts counter...

See Answer

Q: Beam AB has a pin support at A and a roller support

Beam AB has a pin support at A and a roller support at B. Joint B is also restrained by a linearly elastic rotational spring with stiffness kR, which provides a resisting moment MB due to rotation at...

See Answer

Q: The continuous frame ABCD has a pin support at B; roller

The continuous frame ABCD has a pin support at B; roller supports at A, C, and D; and rigid corner connections at B and C (see figure). Members AB, BC, and CD each have flexural rigidity EI. Moment M0...

See Answer