Questions from Mechanics

Q: A steel bar with a uniform cross section is fixed at both

A steel bar with a uniform cross section is fixed at both ends. A load P = 2.5 kips is applied at point C. The bar has a cross-sectional area of 8 in2. Calculate the reactions at joints A and B and th...

Q: A horizontal rigid bar ABC is pinned at end A and supported

A horizontal rigid bar ABC is pinned at end A and supported by two cables at points B and C. A vertical load P = 10 kN acts at end C of the bar. The two cables are made of steel with a modulus elastic...

Q: A solid circular steel cylinder S is encased in a hollow circular

A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and tube are compressed between the rigid plates of a testing machine which applies forces P. Calculate...

Q: Three prismatic bars, two of material A and one of material

Three prismatic bars, two of material A and one of material B, transmit a tensile load P (see figure). The two outer bars (material A) are identical. The cross-sectional area of the middle bar (materi...

Q: Bar ABC is fixed at both ends (see figure) and

Bar ABC is fixed at both ends (see figure) and has load P applied at B. Find reactions at A and C and displacement δB if P = 200 kN, L = 2 m, t = 20 mm, b1 = 100 mm, b2 = 115 mm, and E =...

Q: Repeat Problem 8, but assume that the bar is made of

Repeat Problem 8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kips, L = 3 ft, t = 1/4 in, b1 = 2 in, b2 = 2.5 in., and E = 10,400 ksi. Data from Pr...

Q: A plastic rod AB of length L = 0.5 m

A plastic rod AB of length L = 0.5 m has a diameter d1 = 30 mm (see figure). A plastic sleeve CD of length c = 0.3 m and outer diameter d2 = 45 mm is securely bonded to the rod so that no slippage can...

Q: Three steel cables jointly support a load of 12 kips (see

Three steel cables jointly support a load of 12 kips (see figure). The diameter of the middle cable is 3/4 in. and the diameter of each outer cable is 1/2 in. The tensions in the cables are adjusted s...

Q: A prismatic bar with a diameter do = 20 mm is being

A prismatic bar with a diameter do = 20 mm is being compared with a stepped bar of the same diameter (d1 = 2 0mm) that is enlarged in the middle region to a diameter d2 = 25 mm (see figure). The radiu...

Q: A circular post, a rectangular post, and a post of

A circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). The diame...