tensile stress

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 270 Thermal Stress

270 Bronze sleeve slipped over a steel bolt

Problem 270

A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an initial stress of 2000 psi in the bronze. For the steel bolt, A = 0.75 in2, E = 29 × 106 psi, and α = 6.5 × 10–6 in/(in·°F). For the bronze sleeve, A = 1.5 in2, E = 12 × 106 psi and α = 10.5 × 10–6 in/(in·°F). After a temperature rise of 100°F, find the final stress in each material.

Solution to Problem 262 Thermal Stress

262 Steel rod between two rigid walls

Problem 262

A steel rod is stretched between two rigid walls and carries a tensile load of 5000 N at 20°C. If the allowable stress is not to exceed 130 MPa at -20°C, what is the minimum diameter of the rod? Assume α = 11.7 µm/(m·°C) and E = 200 GPa.

Solution to Problem 261 Thermal Stress

261 Bar at zero temperature

Problem 261

A steel rod with a cross-sectional area of 0.25 in2 is stretched between two fixed points. The tensile load at 70°F is 1200 lb. What will be the stress at 0°F? At what temperature will the stress be zero? Assume α = 6.5 × 10−6 in/(in·°F) and E = 29 × 106 psi.

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 142 Pressure Vessel

142 Pipe carrying a steam

Strength of Materials 4th Edition by Pytel and Singer
Problem 142 page 29

Given:
Steam pressure = 3.5 Mpa
Outside diameter of the pipe = 450 mm
Wall thickness of the pipe = 10 mm
Diameter of the bolt = 40 mm
Allowable stress of the bolt = 80 MPa
Initial stress of the bolt = 50 MPa

Required:
Number of bolts
Circumferential stress developed in the pipe

Solution to Problem 131 Bearing Stress

Problem 131
Repeat Problem 130 if the rivet diameter is 22 mm and all other data remain unchanged.

Solution to Problem 130 Bearing Stress

130 Trusss Joints

Strength of Materials 4th Edition by Pytel and Singer
Problem 130 page 22

Given:
Allowable shear stress = 70 MPa
Allowable bearing stress = 140 MPa
Diameter of rivets = 19 mm
The truss below:
Figure P-130 and P-131

Required:
Number of rivets to fasten member BC to the gusset plate
Number of rivets to fasten member BE to the gusset plate
Largest average tensile or compressive stress in members BC and BE

Solution to Problem 129 Bearing Stress

129 bolted timbers

Strength of Materials 4th Edition by Pytel and Singer
Problem 129 page 21

Given:
Diameter of bolt = 7/8 inch
Diameter at the root of the thread (bolt) = 0.731 inch
Inside diameter of washer = 9/8 inch
Tensile stress in the nut = 18 ksi
Bearing stress = 800 psi

Required:
Shearing stress in the head of the bolt
Shearing stress in threads of the bolt
Outside diameter of the washer

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