normal stress

Solution to Problem 222 Poisson's Ratio

222 Solid cylinder carrying an axial load

Problem 222

A solid cylinder of diameter d carries an axial load P. Show that its change in diameter is 4Pν / πEd.

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 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 123 Shear Stress

123 Forces parallel and perpendicular to wood grain

Strength of Materials 4th Edition by Pytel and Singer
Problem 123 page 18

Given:
Cross-section of wood = 50 mm by 100 mm
Maximum allowable compressive stress in wood = 20 MN/m2
Maximum allowable shear stress parallel to the grain in wood = 5 MN/m2
Inclination of the grain from the horizontal = 20 degree

Required: The axial force P that can be safely applied to the block

Solution to Problem 122 Shear Stress

122 Normal and shear components of the resultant on arbitrary section

Strength of Materials 4th Edition by Pytel and Singer
Problem 122 page 18

Given:
Width of wood = w
Thickness of wood = t
Angle of Inclination of glued joint = \theta
Cross sectional area = A

 

Required: Show that shearing stress on glued joint \tau = P \sin 2 \theta \, / \, 2A

Solution to Problem 114 Normal Stress

114 Homogeneous bar supported by cable

Strength of Materials 4th Edition by Pytel and Singer
Problem 114 page 15

Given:
Maximum allowable stress in each cable = 100 MPa
Area of cable AB = 250 mm2
Area of cable at C = 300 mm2

Required: Mass of the heaviest bar that can be supported

Solution to Problem 113 Normal Stress

113 Section of a truss

Strength of Materials 4th Edition by Pytel and Singer
Problem 113 page 15

Given:
Cross sectional area of each member = 1600 mm2.

Required: Stresses in members BC, BD, and CF

Solution to Problem 112 Normal Stress

112 Free Body Diagram of Truss

Strength of Materials 4th Edition by Pytel and Singer
Problem 112 page 14

Given:
Maximum allowable stress in tension = 20 ksi
Maximum allowable stress in compression = 14 ksi

Required: Cross-sectional areas of members AG, BC, and CE

Solution to Problem 111 Normal Stress

111 Free Body Diagram of a Truss

Strength of Materials 4th Edition by Pytel and Singer
Problem 111 page 14

Given:
Cross-sectional area of each member = 1.8 in2

Required: Stresses in members CE, DE, and DF

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