Questions from Mechanics

Q: A cantilever beam AB is subjected to a parabolic ally varying load

A cantilever beam AB is subjected to a parabolic ally varying load of intensity q(x) = qo (L2 – x2)/L2, where qo is the maximum intensity of the load (see figure). Derive the equatio...

Q: A beam on simple supports is subjected to a parabolic ally distributed

A beam on simple supports is subjected to a parabolic ally distributed load of intensity q(x) = 4qox (L - x)/L2, where qo is the maximum intensity of the load (see figure). Derive the equation of the...

Q: Derive the equation of the deflection curve for beam AB with sliding

Derive the equation of the deflection curve for beam AB with sliding support at A and roller at B, carrying a triangularly distributed load of maximum intensity qo (see figure). Also, determine the ma...

Q: Derive the equations of the deflection curve for beam ABC with sliding

Derive the equations of the deflection curve for beam ABC with sliding support at A and roller support at B, supporting a uniform load of intensity q acting on the overhang portion of the beam (see fi...

Q: A W 310 × 52 steel beam is subjected to a point

A W 310 × 52 steel beam is subjected to a point load P = 45 kN and a transverse load V = 20 kN at B. The beam has length L = 2 m. (a) Calculate the principal normal stresses and the maxim...

Q: The hollow drill pipe for an oil well (see figure)

The hollow drill pipe for an oil well (see figure) is 6.2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 k...

Q: A segment of a generator shaft is subjected to a torque T

A segment of a generator shaft is subjected to a torque T and an axial force P, as shown in the figure. The shaft is hollow (outer diameter d2 = 300 mm and inner diameter d1 = 250 mm) and delivers 180...

Q: A segment of a generator shaft with a hollow circular cross section

A segment of a generator shaft with a hollow circular cross section is subjected to a torque T = 240 kip-in (see figure). The outer and inner diameters of the shaft are 8.0 in. and 6.25 in., respectiv...

Q: A post having a hollow, circular cross section supports a P

A post having a hollow, circular cross section supports a P = 3.2 kN load acting at the end of an arm that is b = 1.5 m long (see figure). The height of the post is L = 9 m, and its section modulus is...

Q: A sign is supported by a pole of hollow circular cross section

A sign is supported by a pole of hollow circular cross section, as shown in the figure. The outer and inner diameters of the pole are 10.5 in. and 8.5 in., respectively. The pole is 42 ft high and wei...