Questions from Mechanics

Q: A beam ABC having flexural rigidity EI = 75 kN m2 is

A beam ABC having flexural rigidity EI = 75 kN m2 is loaded by a force P = 800 N at end C and tied down at end A by a wire having axial rigidity EA = 900 kN (see figure). What is the deflection at poi...

Q: Determine the angle of rotation θB and deflection δB at the free

Determine the angle of rotation θB and deflection δB at the free end of a cantilever beam AB supporting a parabolic load defined by the equation q(x) = qox2/L2 (see figure)....

Q: A simple beam AB supports a uniform load of intensity q acting

A simple beam AB supports a uniform load of intensity q acting over the middle region of the span (see figure). Determine the angle of rotation θA at the left hand support and the deflect...

Q: A weight W = 20 kN falls through a height h =

A weight W = 20 kN falls through a height h = 1.0 mm onto the midpoint of a simple beam of length L = 3 m (see figure). The beam is made of wood with square cross section (dimension d on each side) an...

Q: The overhanging beam ABCD supports two concentrated loads P and Q (

The overhanging beam ABCD supports two concentrated loads P and Q (see figure). (a) For what ratio P/Q will the deflection at point B be zero? (b) For what ratio will the deflection at point D be zero...

Q: A thin metal strip of total weight W and length L is

A thin metal strip of total weight W and length L is placed across the top of a flat table of width L/3 as shown in the figure. What is the clearance δ between the strip and the middle of...

Q: An overhanging beam ABC with flexural rigidity EI = 15 kip-

An overhanging beam ABC with flexural rigidity EI = 15 kip-in2 is supported by a sliding support at A and by a spring of stiffness k at point B (see figure). Span AB has a length L = 30 in and carries...

Q: A beam ABCD rests on simple supports at B and C (

A beam ABCD rests on simple supports at B and C (see figure). The beam has a slight initial curvature so that end A is 18 mm above the elevation of the supports and end D is 12 mm above. What moments...

Q: The compound beam ABC shown in the figure has a sliding support

The compound beam ABC shown in the figure has a sliding support at A and a fixed support at C. The beam consists of two members joined by a pin connection (i.e., moment release) at B. Find the deflect...

Q: A compound beam ABCDE (see figure) consists of two parts

A compound beam ABCDE (see figure) consists of two parts (ABC and CDE) connected by a hinge (i.e., moment release) at C. The elastic support at B has stiffness k = EI/b3. Determine the deflection &Ici...