Questions from Mechanics

Q: A cantilever beam AB having rectangular cross sections with varying width bx

A cantilever beam AB having rectangular cross sections with varying width bx and varying height hx is subjected to a uniform load of intensity q (see figure). If the width varies linearly with x accor...

Q: A cable with force P is attached to a frame at A

A cable with force P is attached to a frame at A and runs over a frictionless pulley at D. Find expressions for shear force V and moment M at x = L/2 of beam BC.

Q: Find expressions for shear force V and moment M at x =

Find expressions for shear force V and moment M at x = L/2 of beam AB in structure (a) Express V and M in terms of peak load intensity qo and beam length variable L. Repeat for structure (b) but find...

Q: A cable with force P is attached to a frame at D

A cable with force P is attached to a frame at D and runs over a frictionless pulley at B. Find expressions for shear force V and moment M at x = L/3 of beam AB.

Q: Frame ABCD carries two concentrated loads (2P at C and P

Frame ABCD carries two concentrated loads (2P at C and P at D, see figure) and also a linearly varying distributed load on AB. Find expressions for shear force V and moment M at x = L/3 of beam AB in...

Q: Frame ABC has a moment release just left of joint B.

Frame ABC has a moment release just left of joint B. Find axial force N, shear force V, and moment M at the top of column AB. Write variables N, V, and M in terms of variables P and L.

Q: The simply supported beam ABCD is loaded by a weight W =

The simply supported beam ABCD is loaded by a weight W = 27 kN through the arrangement shown in the figure part a. The cable passes over a small frictionless pulley at B and is attached at E to the en...

Q: The centrifuge shown in the figure rotates in a horizontal plane (

The centrifuge shown in the figure rotates in a horizontal plane (the x-y plane) on a smooth surface about the z axis (which is vertical) with an angular acceleration α. Each of the two...

Q: Draw the shear-force and bending-moment diagrams for a

Draw the shear-force and bending-moment diagrams for a simple beam AB supporting two equal concentrated loads P (see figure). Repeat if the left-hand load is upward and the right-hand load is downward...

Q: A simple beam AB is subjected to a counterclockwise couple of moment

A simple beam AB is subjected to a counterclockwise couple of moment Mo acting at distance a from the left-hand support (see figure). Draw the shear force and bending-moment diagrams for this beam. Al...