Questions from Mechanics

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

Draw the shear-force and bending-moment diagrams for a cantilever beam AB carrying a uniform load of intensity q over one-half of its length (see figure).

Q: A simply supported beam (L = 4.5 m)

A simply supported beam (L = 4.5 m) must support mechanical equipment represented as a distributed load with intensity q = 30 kN/m acting over the middle segment of the beam (see figure). Select the m...

Q: The flat bars shown in parts a and b of the figure

The flat bars shown in parts a and b of the figure are subjected to tensile forces P = 3.0 kips. Each bar a has thickness t = 0.25 in. (a) For the bar with a circular hole, determine the maximum stres...

Q: The flat bars shown in parts a and b of the figure

The flat bars shown in parts a and b of the figure are subjected to tensile forces P = 2.5 kN. Each bar has thickness t = 5.0 mm. (a) For the bar with a circular hole, determine the maximum stresses f...

Q: A flat bar of width b and thickness t has a hole

A flat bar of width b and thickness t has a hole of diameter d drilled through it (see figure). The hole may have any diameter that will fit within the bar. What is the maximum permissible tensile loa...

Q: A round brass bar of a diameter d1 = 20 mm has

A round brass bar of a diameter d1 = 20 mm has upset ends each with a diameter d2 = 26 mm (see figure). The lengths of the segments of the bar are L1 = 0.3 m and L2 = 0.1 m. Quarter-circular fillets a...

Q: Solve the preceding problem for a bar of monel metal having the

Solve the preceding problem for a bar of monel metal having the following properties: d1 = 1.0 in., d2 = 1.4 in., L1 = 20.0 in., L2 = 5.0 in., and E = 25 × 106 psi. Also, the bar lengthen...

Q: The cross section of a narrow-gage railway bridge is shown

The cross section of a narrow-gage railway bridge is shown in part a of the figure. The bridge is constructed with longitudinal steel girders that support the wood cross ties. The girders are restrain...

Q: A fiberglass bracket ABCD with a solid circular cross section has the

A fiberglass bracket ABCD with a solid circular cross section has the shape and dimensions shown in the figure. A vertical load P = 40 N acts at the free end D. (a) Determine the minimum permissible d...

Q: A cantilever beam AB is loaded by a uniform load q and

A cantilever beam AB is loaded by a uniform load q and a concentrated load P, as shown in the figure. (a) Select the most economical steel C shape in Appendix F; use q = 20 lb/ft and P = 300 lb. (b) S...