Questions from Mechanics

Q: The non prismatic, cantilever circular bar shown has an internal cylindrical

The non prismatic, cantilever circular bar shown has an internal cylindrical hole from 0 to x, so the net polar moment of inertia of the cross section for segment 1 is (7/8) Ip. Torque T is applied at...

Q: A uniformly tapered aluminum-alloy tube AB with a circular cross

A uniformly tapered aluminum-alloy tube AB with a circular cross section and length L is shown in the figure. The outside diameters at the ends are dA and dB = 2dA. A hollow section of length L/2 and...

Q: For the thin non prismatic steel pipe of constant thickness t and

For the thin non prismatic steel pipe of constant thickness t and variable diameter d shown with applied torques at joints 2 and 3, determine the following. (a) Find the reaction moment R1. (b) Find...

Q: A wood beam ABC with simple supports at A and B and

A wood beam ABC with simple supports at A and B and an overhang BC has height h = 300 mm (see figure). The length of the main span of the beam is L = 3.6 m and the length of the overhang is L/3 = 1.2m...

Q: A mountain-bike rider going uphill applies torque T = Fd

A mountain-bike rider going uphill applies torque T = Fd (F = 15 lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar ass...

Q: A prismatic bar AB of length L and solid circular cross section

A prismatic bar AB of length L and solid circular cross section (diameter d) is loaded by a distributed torque of constant intensity t per unit distance (see figure). (a) Determine the maximum shear s...

Q: A prismatic bar AB with a solid circular cross section (diameter

A prismatic bar AB with a solid circular cross section (diameter d) is loaded by a distributed torque (see figure). The intensity of the torque, that is, the torque per unit distance, is denoted t(x)...

Q: A magnesium-alloy wire of diameter d = 4 mm and

A magnesium-alloy wire of diameter d = 4 mm and length L rotates inside a flexible tube in order to open or close a switch from a remote location (see figure). A torque T is applied manually (either c...

Q: A non prismatic bar ABC with a solid circular cross section is

A non prismatic bar ABC with a solid circular cross section is loaded by distributed torques (see figure). The intensity of the torques, that is, the torque per unit distance, is denoted t(x) and vari...

Q: Two tubes (AB, BC) of the same material are

Two tubes (AB, BC) of the same material are connected by three pins (pin diameter = dp) just left of B as shown in the figure. Properties and dimensions for each tube are given in the figure. Torque 2...