Questions from Mechanics

Q: A cantilever beam with a T-section is loaded by an

A cantilever beam with a T-section is loaded by an inclined force of magnitude 6.5 kN (see figure). The line of action of the force is inclined at an angle of 8 60 to the horizontal and intersects the...

Q: Beam ABCD has a sliding support at A, roller supports at

Beam ABCD has a sliding support at A, roller supports at C and D, and a pin connection at B (see figure). Assume that the beam has a rectangular cross section (b = 4 in., h = 12 in.). Uniform load q a...

Q: Solve the preceding problem using the numerical data: b = 90

Solve the preceding problem using the numerical data: b = 90 mm, h = 280 mm, d = 210 mm, q = 14 kN/m, and L = 1.2 m. Data from Problem 21: Beam ABCD has a sliding support at A, roller supports at C...

Q: Repeat Problem 1 for a fire extinguisher tank with an internal pressure

Repeat Problem 1 for a fire extinguisher tank with an internal pressure of 1.8 MPa, diameter of 130 mm, and thickness 1.5 mm. Data from Problem 1: A fire extinguisher tank is designed for an intern...

Q: A scuba tank (see figure) is being designed for an

A scuba tank (see figure) is being designed for an internal pressure of 2640 psi with a factor of safety of 2.0 with respect to yielding. The yield stress of the steel is 65,000 psi in tension and 32,...

Q: A tall standpipe with an open top (see figure) has

A tall standpipe with an open top (see figure) has diameter d = 2.2m and wall thickness t = 20 mm. (a) What height h of water will produce a circumferential stress of 12 MPa in the wall of the standpi...

Q: An inflatable structure used by a traveling circus has the shape of

An inflatable structure used by a traveling circus has the shape of a half-circular cylinder with closed ends (see figure). The fabric and plastic structure is inflated by a small blower and has a rad...

Q: A cylindrical pressure vessel having a radius r = 14 in.

A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.5 in. is subjected to internal pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylin...

Q: A thin-walled cylindrical pressure vessel of a radius r is

A thin-walled cylindrical pressure vessel of a radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends (see figure). (a) What should be the magnitu...

Q: A strain gage is installed in the longitudinal direction on the surface

A strain gage is installed in the longitudinal direction on the surface of an aluminum beverage can (see figure). The radius-to-thickness ratio of the can is 200. When the lid of the can is popped ope...