Questions from Mechanics

Q: The fixed-end bar ABCD consists of three prismatic segments,

The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have a cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has a cross-se...

Q: A tube structure is acted on by loads at B and D

A tube structure is acted on by loads at B and D, as shown in the figure. The tubes are joined using two flange plates at C that are bolted together using six 0.5-in. diameter bolts. (a) Derive formul...

Q: A prismatic bar AD of length L, cross- sectional area

A prismatic bar AD of length L, cross- sectional area A, and modulus of elasticity E is subjected to loads 5P, 3P, and P acting at points B, C, and D, respectively (see figure). Segments AB, BC, and C...

Q: A bar with a circular cross section having two different diameters d

A bar with a circular cross section having two different diameters d and 2d is shown in the figure. The length of each segment of the bar is L/2, and the modulus of elasticity of the material is E. (a...

Q: A three-story steel column in a building supports roof and

A three-story steel column in a building supports roof and floor loads as shown in the figure. The story height H is 10.5 ft, the cross-sectional area A of the column is 15.5 in2, and the modulus of e...

Q: The bar ABC shown in the figure is loaded by a force

The bar ABC shown in the figure is loaded by a force P acting at end C and by a force Q acting at the midpoint B. The bar has a constant axial rigidity EA. (a) Determine the strain energy U1 of the ba...

Q: Determine the strain energy per unit volume (units of psi)

Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in.) that can be stored in each of the materials listed in the accompanying table, assuming t...

Q: The truss ABC shown in the figure is subjected to a horizontal

The truss ABC shown in the figure is subjected to a horizontal load P at joint B. The two bars are identical with cross-sectional area A and modulus of elasticity E. (a) Determine the strain energy U...

Q: The truss ABC shown in the figure supports a horizontal load P1

The truss ABC shown in the figure supports a horizontal load P1 = 300 lb and a vertical load P2 = 900 lb. Both bars have a cross-sectional area A = 2.4 in2 and are made of steel with E = 30 Ã&#...

Q: The statically indeterminate structure shown in the figure consists of a horizontal

The statically indeterminate structure shown in the figure consists of a horizontal rigid bar AB supported by five equally spaced springs. Springs 1, 2, and 3 have stiffnesses 3k, 1.5k, and k, respect...