Contents taken from Page 238 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664.
Contents taken from Page 238 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664
Two W4 x 13 rolled sections are welded together as shown. Knowing that for the steel alloy used, and and using a factor of safety of 3.0, determine the largest couple that can be applied when the assembly is bent about the z axis.
Honor Pledge: On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Contents taken from Page 238 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664.
Contents taken from Page 238 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664
Two W4 x 13 rolled sections are welded together as shown. Knowing that for the steel alloy used, and and using a factor of safety of 3.0, determine the largest couple that can be applied when the assembly is bent about the z axis.
Honor Pledge: On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Contents taken from Page 238 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664.
Contents taken from Page 238 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664
Knowing that a beam of the cross section shown is bent about a horizontal axis and that the bending moment is 6 kN*m, determine the total force acting on the shaded portion of the web.
Honor Pledge: On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Contents taken from Page 239 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664
A "T" shapes beam that is made of nylon, the allowable stress is 24 MPa in tension and 30 MPa in compression. The largest couple M that can be applied to the beam is?
Honor Pledge: On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Contents taken from Page 239 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664.
Contents taken from Page 239 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664
Honor Pledge: On my honor, I have neither given nor received unauthorized aid in doing this assignment.
The cantilever beam with the trapezoidal cross-section has an allowable tension stress threshold, and allowable compressive stress, .
Contents taken from Page 174 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664.
Contents taken from Page 174 in the Mechanics of Materials: 6th Edition textbook. Authors: F.P BEER, E.R. JOHNSTON, J.T. DEWOLF AND D.F. MAZUREK ISBN:9780077565664.
Rod AB is made of aluminum, which has a Young's modulus of 3,700,000 pounds per square inch. Rod BC is made of brass, which has a Young's modulus of 5,600,000 pounds per square inch.
A torque T equal to 12,500 pound inches is applied at point B along the axis AC.
The figure shows that AB is 12 inches in length and 1.5 inches in diameter, and that BC is 18 inches long and 2 inches in diameter.
Find a) The max shear stress in rod AB
and b) the max shear stress BC.
Honor Pledge: On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Applied torque T is equal to the sum of the reaction forces at points A and C:
Total rod twist angle is equal to the sum of section AB and BC's twist angles; total twist angle is equal to zero because points A and C are held stationary:
Insert formula to relate rod twist to variables T, L, J, and G for their respective sections:
Rearrange, insert numerical values, and simplify to solve for T in section BC relative to A:
Solve for relative to applied torque , solve for numerical values of and
Find max shear stress in each section of rod using their respective torques: