Questions from Mechanics


Q: A cantilever beam AB is subjected to a uniform load of intensity

A cantilever beam AB is subjected to a uniform load of intensity q acting throughout its length (see figure). Determine the angle of rotation θB and the deflection δB at the...

See Answer

Q: The cantilever beam ACB shown in the figure has moments of inertia

The cantilever beam ACB shown in the figure has moments of inertia I2 and I1 in parts AC and CB, respectively. (a) Using the method of superposition, determine the deflection δB at the fr...

See Answer

Q: A uniformly loaded simple beam AB (see figure) of a

A uniformly loaded simple beam AB (see figure) of a span length L and a rectangular cross section (b = width, h = height) has a maximum bending stress σmax due to the uniform load q. Determ...

See Answer

Q: A simple beam AB of length L is loaded at the left

A simple beam AB of length L is loaded at the left-hand end by a couple of moment Mo (see figure). Determine the angle of rotation θA at support A. (Obtain the solution by determining the...

See Answer

Q: A heavy object of weight W is dropped onto the midpoint of

A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see figure). Obtain a formula for the maximum bending stress σmax due to the falling weight in t...

See Answer

Q: A simple beam AB of length L and height h undergoes a

A simple beam AB of length L and height h undergoes a temperature change such that the bottom of the beam is at temperature T2 and the top of the beam is at temperature T1 (see figure). Determine the...

See Answer

Q: A simple beam ACB supports a uniform load of intensity q on

A simple beam ACB supports a uniform load of intensity q on the left-hand half of the span (see figure). Determine the angle of rotation θB at support B. (Obtain the solution by using the...

See Answer

Q: A cantilever beam ACB supports two concentrated loads P1 and P2,

A cantilever beam ACB supports two concentrated loads P1 and P2, as shown in the figure. Determine the deflections δC and δB at points C and B, respectively. (Obtain the solu...

See Answer

Q: The cantilever beam ACB shown in the figure is subjected to a

The cantilever beam ACB shown in the figure is subjected to a uniform load of intensity q acting between points A and C. Determine the angle of rotation θA at the free end A. (Obtain the...

See Answer

Q: The frame ABC supports a concentrated load P at point C (

The frame ABC supports a concentrated load P at point C (see figure). Members AB and BC have lengths h and b, respectively. Determine the vertical deflection δC and angle of rotation &Ici...

See Answer