Questions from Mechanics

Q: A horizontal rigid bar AB supporting a load P is hung from

A horizontal rigid bar AB supporting a load P is hung from five symmetrically placed wires, each of cross-sectional area A (see figure). The wires are fastened to a curved surface of radius R. (a) Det...

Q: A load P acts on a horizontal beam that is supported by

A load P acts on a horizontal beam that is supported by four rods arranged in the symmetrical pattern shown in the figure. Each rod has a cross- sectional area A, and the material is elastoplastic wit...

Q: The cross section of a channel beam with double flanges and constant

The cross section of a channel beam with double flanges and constant thickness throughout the section is shown in the figure. Derive the following formula for the distance e from the centerline of the...

Q: The cross section of a slit circular tube of constant thickness is

The cross section of a slit circular tube of constant thickness is shown in the figure. (a) Show that the distance e from the center of the circle to the shear center S is equal to 2r in the figure pa...

Q: The cross section of a slit rectangular tube of constant thickness is

The cross section of a slit rectangular tube of constant thickness is shown in the figures. (a) Derive the following formula for the distance e from the centerline of the wall of the tube in the figur...

Q: A U-shaped cross section of constant thickness is shown in

A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the semicircle to the shear center S: Also, plot a graph showi...

Q: Derive the following formula for the distance e from the centerline of

Derive the following formula for the distance e from the centerline of the wall to the shear center S for the C-section of constant thickness shown in the figure: Also, check the formula for the speci...

Q: Derive the following formula for the distance e from the centerline of

Derive the following formula for the distance e from the centerline of the wall to the shear center S for the hat section of constant thickness shown in the figure: Also, check the formula for the spe...

Q: The cross section of a sign post of constant thickness is shown

The cross section of a sign post of constant thickness is shown in the figure. Derive the formula for the distance e from the centerline of the wall of the post to the shear center S: where Iz = momen...

Q: A beam of a T cross section is formed by nailing together

A beam of a T cross section is formed by nailing together two boards having the dimensions shown in the figure. If the total shear force V acting on the cross section is 1500 N and each nail may carry...