rigid bar

Solution to Problem 272 Thermal Stress

Problem 272

For the assembly in Fig. 271, find the stress in each rod if the temperature rises 30°C after a load W = 120 kN is applied.

 

Solution 272

\Sigma M_A = 0
4P_{br} + P_{st} = 2.5(80\,000)
4\sigma_{br}(1300) + \sigma_{st}(320) = 2.5(80\,000)
16.25\sigma_{br} + \sigma_{st} = 625
\sigma_{st} = 625 – 16.25\sigma_{br} \, \to \, Equation (1)

 

Solution to Problem 271 Thermal Stress

271-272 Rigid bar supported by bronze and steel rods

Problem 271

A rigid bar of negligible weight is supported as shown in Fig. P-271. If W = 80 kN, compute the temperature change that will cause the stress in the steel rod to be 55 MPa. Assume the coefficients of linear expansion are 11.7 µm/(m·°C) for steel and 18.9 µm/(m·°C) for bronze.

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.

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 242 Statically Indeterminate

242 Bar and rods assembly

Problem 242

The assembly in Fig. P-242 consists of a light rigid bar AB, pinned at O, that is attached to the steel and aluminum rods. In the position shown, bar AB is horizontal and there is a gap, Δ = 5 mm, between the lower end of the steel rod and its pin support at C. Compute the stress in the aluminum rod when the lower end of the steel rod is attached to its support.

Solution to Problem 214 Axial Deformation

Strength of Materials 4th Edition by Pytel and Singer
Problem 214 page 41

Given:
Maximum vertical movement of P = 5 mm
The figure below:
Figure P-214

Required: The maximum force P that can be applied neglecting the weight of all members.

Solution to Problem 213 Axial Deformation

Strength of Materials 4th Edition by Pytel and Singer
Problem 213 page 41

Given:
Rigid bar is horizontal before P = 50 kN is applied
The figure below:
Figure P-213

Required: Vertical movement of P

Solution to Problem 212 Axial Deformation

Strength of Materials 4th Edition by Pytel and Singer
Problem 212 page 40

Given:
Maximum stress in steel rod = 30 ksi
Maximum vertical movement at C = 0.10 inch
The figure below:
Figure P-212

Required: The largest load P that can be applied at C

Solution to Problem 105 Normal Stress

Bar supported by bronze and steel cables

Strength of Materials 4th Edition by Pytel and Singer
Problem 105 page 12

Given:
Weight of bar = 800 kg
Maximum allowable stress for bronze = 90 MPa
Maximum allowable stress for steel = 120 MPa

Required: Smallest area of bronze and steel cables

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