November, 2008

Solution to Problem 254 Statically Indeterminate

254 Pinned rigid bar

Problem 254

As shown in Fig. P-254, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what maximum load P can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod.

254 Pinned rigid bar

254 Pinned rigid bar

Rigid pinned at O and attached to two vertical rods. Solution to Problem 254

Solution to Problem 253 Statically Indeterminate

253 Rigid beam supported by pin and rods

Problem 253

As shown in Fig. P-253, a rigid beam with negligible weight is pinned at one end and attached to two vertical rods. The beam was initially horizontal before the load W = 50 kips was applied. Find the vertical movement of W.

Solution to Problem 252 Statically Indeterminate

252 Bar held horizontal by two rods

Problem 252

The light rigid bar ABCD shown in Fig. P-252 is pinned at B and connected to two vertical rods. Assuming that the bar was initially horizontal and the rods stress-free, determine the stress in each rod after the load after the load P = 20 kips is applied.

Solution to Problem 251 Statically Indeterminate

251 Bar supported by two rods

Problem 251

The two vertical rods attached to the light rigid bar in Fig. P-251 are identical except for length. Before the load W was attached, the bar was horizontal and the rods were stress-free. Determine the load in each rod if W = 6600 lb.

Solution to Problem 250 Statically Indeterminate

250 Bolt and tube assembly

Problem 250

In the assembly of the bronze tube and steel bolt shown in Fig. P-250, the pitch of the bolt thread is p = 1/32 in.; the cross-sectional area of the bronze tube is 1.5 in.2 and of steel bolt is 3/4 in.2 The nut is turned until there is a compressive stress of 4000 psi in the bronze tube. Find the stresses if the nut is given one additional turn. How many turns of the nut will reduce these stresses to zero? Use Ebr = 12 × 106 psi and Est = 29 × 106 psi.

250 Bolt and tube assembly

250 Bolt and tube assembly

Solution to Problem 250: Statically Indeterminate Members