Questions from Mechanics

Q: A solid circular bar having diameter d is to be replaced by

A solid circular bar having diameter d is to be replaced by a rectangular tube having cross- sectional dimensions d × 2d to the median line of the cross section (see figure). Determine th...

Q: A thin-walled aluminum tube of rectangular cross section (see

A thin-walled aluminum tube of rectangular cross section (see figure) has a centerline dimensions b = 6.0 in. and h = 4.0in. The wall thickness t is constant and equal to 0.25 in. (a) Determine the sh...

Q: A thin-walled steel tube of rectangular cross section (see

A thin-walled steel tube of rectangular cross section (see figure) has centerline dimensions b = 150 mm and h = 100 mm. The wall thickness t is constant and equal to 6.0 mm. (a) Determine the shear st...

Q: A square tube section has side dimension of 20 in. and

A square tube section has side dimension of 20 in. and thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in. torque at both ends, calculate the maximum shear stre...

Q: A simply supported wood beam with overhang is subjected to uniformly distributed

A simply supported wood beam with overhang is subjected to uniformly distributed load q. The beam has a rectangular cross section with width b = 200 mm and height h = 250 mm. Determine the maximum per...

Q: A thin-walled circular tube and a solid circular bar of

A thin-walled circular tube and a solid circular bar of the same material (see figure) are subjected to torsion. The tube and bar have the same cross-sectional area and the same length. What is the ra...

Q: A thin-walled steel tube having an elliptical cross section with

A thin-walled steel tube having an elliptical cross section with constant thickness t (see figure) is subjected to a torque T = 18 kip-in. Determine the shear stress Ï„ and the rate of twist...

Q: Calculate the shear stress τ and the angle of twist ϕ (

Calculate the shear stress Ï„ and the angle of twist Ï• (in degrees) for a steel tube (G = 7 6GPa) having the cross section shown in the figure. The tube has length L = 1.5 m and i...

Q: A torque T is applied to a thin-walled tube having

A torque T is applied to a thin-walled tube having a cross section in the shape of a regular hexagon with constant wall thickness t and side length b (see figure). Obtain formulas for the shear stress...

Q: Compare the angle of twist φ1 for a thin walled circular tube

Compare the angle of twist φ1 for a thin walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist f2 calculated from the exact t...