Questions from Mechanics

Q: A cantilever beam of a length L and loaded by a uniform

A cantilever beam of a length L and loaded by a uniform load of intensity q has a fixed support at A and spring support at B with rotational stiffness kR. A rotation θB at B results in a...

Q: A cantilever beam has a length L and is loaded by a

A cantilever beam has a length L and is loaded by a triangularly distributed load of maximum intensity q0 at B. Use the fourth-order differential equation of the deflection curve to solve for reaction...

Q: A fixed-end beam of a length L is loaded by

A fixed-end beam of a length L is loaded by a distributed load in the form of a cosine curve with a maximum intensity q0 at A. (a) Use the fourth-order differential equation of the deflection curve to...

Q: A fixed-end beam of a length L is loaded by

A fixed-end beam of a length L is loaded by triangularly distributed load of a maximum intensity q0 at B. Use the fourth-order differential equation of the deflection curve to solve for reactions at A...

Q: A fixed-end beam AB carries point load P acting at

A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reactions of the beam and the displacement at point C. Assum...

Q: A counterclockwise moment M0 acts at the midpoint of a fixed-

A counterclockwise moment M0 acts at the midpoint of a fixed-end beam ACB of length L (see figure). Beginning with the second-order differential equation of the deflection curve (the bending- moment e...

Q: A propped cantilever beam of a length L is loaded by a

A propped cantilever beam of a length L is loaded by a concentrated moment M0 at midpoint C. Use the second-order differential equation of the deflection curve to solve for reactions at A and B. Draw...

Q: A propped cantilever beam is subjected to uniform load q. The

A propped cantilever beam is subjected to uniform load q. The beam has flexural rigidity EI = 2000 kip-ft2 and the length of the beam is 10 ft. Find the intensity q of the distributed load if the maxi...

Q: Repeat Problem 15 using L = 3.5 m, δmax

Repeat Problem 15 using L = 3.5 m, δmax = 3 mm, and EI = 800kN·m2. Data from Problem 15: A propped cantilever beam is subjected to uniform load q. The beam has flexural r...

Q: A two-span, continuous wood girder (E = 1700

A two-span, continuous wood girder (E = 1700 ksi) supports a roof patio structure (figure part a). A uniform load of intensity q acts on the girder, and each span is of length 8 ft. The girder is made...