Questions from Mechanics

Q: What must be the equation y = f(x) of

What must be the equation y = f(x) of the axis of the slightly curved beam AB (see figure) before the load is applied in order that the load P, moving along the bar, always stays at the same level?...

Q: Determine the angle of rotation uB and deflection dB at the free

Determine the angle of rotation uB and deflection dB at the free end of a cantilever beam AB having a uniform load of intensity q acting over the middle third of its length (see figure).

Q: A cantilever beam AB of length L = 6 ft is constructed

A cantilever beam AB of length L = 6 ft is constructed of a W8 × 21 wide-flange section (see figure). A weight W = 1500 lb falls through a height h = 0.25 in onto the end of the beam. Cal...

Q: The cantilever beam ACB shown in the figure has flexural rigidity EI

The cantilever beam ACB shown in the figure has flexural rigidity EI = 2.1 × 106 kip-in2. Calculate the downward deflections δC and dB at points C and B, respectively, due to...

Q: A cantilever beam is subjected to load P at mid-span

A cantilever beam is subjected to load P at mid-span and counterclockwise moment M at B (see figure). (a) Find an expression for moment M in terms of the load P so that the reaction moment MA at A is...

Q: Use the method of superposition to find the angles of rotation θA

Use the method of superposition to find the angles of rotation θA and θB at the supports, and the maximum deflection δmax for a simply supported beam subjected t...

Q: Repeat Problem 15 for the anti- symmetric loading shown in the

Repeat Problem 15 for the anti- symmetric loading shown in the figure. Data from Problem 15: Use the method of superposition to find the angles of rotation θA and θB at th...

Q: A cantilever beam is subjected to a quadratic distributed load q(

A cantilever beam is subjected to a quadratic distributed load q(x) over the length of the beam (see figure). Find an expression for moment M in terms of the peak distributed load intensity qo so that...

Q: A beam ABCD consisting of a simple span BD and an overhang

A beam ABCD consisting of a simple span BD and an overhang AB is loaded by a force P acting at the end of the bracket CEF (see figure). (a) Determine the deflection δA at the end of the o...

Q: A horizontal load P acts at end C of the bracket ABC

A horizontal load P acts at end C of the bracket ABC shown in the figure. (a) Determine the deflection δC of point C. (b) Determine the maximum upward deflection δmax of memb...