MECH-3211 – Stress Analysis – Section 51
Tutorial Assignment #7
Monday, Nov. 25, 2024
Student ID#
Name:
Mark:
Problem 12-87/88: The W14×43 simply supported beam is made of A-36 steel and is subject to
the loading shown. Using the principle of superposition and the Slopes and Deflections of Beams
table in Appendix C of the textbook, determine the deflection at its centre C and the slope at A and
at B. Draw the FBD of each simple loading considered. The properties of the beam can be found
in Appendix B and inside the back cover of the textbook.
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
1
MECH-3211 – Stress Analysis – Section 51
Tutorial Assignment #7
Monday, Nov. 25, 2024
Student ID#
Name:
Mark:
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
2
MECH-3211 – Stress Analysis – Section 51
Tutorial Assignment #7
Monday, Nov. 25, 2024
Student ID#
Name:
Mark:
Problem 12-124: Before the uniform distributed load is applied to the beam, there is a small gap
of 0.2 mm between the beam and the post at B. Using the principle of superposition and the Slopes
and Deflections of Beams table, determine the support reactions at A, B and C. The post at B has a
diameter of 40 mm, and the moment of inertia of the beam is I = 875×106 mm4. The post and the
beam are made of steel which has a modulus of elasticity of E = 200 GPa.
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
3
MECH-3211 – Stress Analysis – Section 51
Tutorial Assignment #7
Monday, Nov. 25, 2024
Student ID#
Name:
Mark:
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
4
MECH-3211 – Stress Analysis – Section 51
Tutorial Assignment #7
Monday, Nov. 25, 2024
Student ID#
Name:
Mark:
Problem R11-3: The journal bearings at A and B exert only x- and z-components of force on the
shaft. Determine the shaft’s diameter to the nearest millimeter so that it can resist the loadings
without exceeding an allowable shear stress of 𝜏𝑎𝑙𝑙𝑜𝑤 = 80 MPa.
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
5
MECH-3211 – Stress Analysis – Section 51
Tutorial Assignment #7
Monday, Nov. 25, 2024
Student ID#
Name:
Mark:
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
6
MECH-3211 – Stress Analysis – Section 52
Tutorial Assignment #7
Wednesday, Nov. 27, 2024
Student ID#
Name:
Mark:
Problem 12-89/92: The W8×48 cantilevered beam is made of A-36 steel and is subject to the
loading shown. Using the principle of superposition and the Slopes and Deflections of Beams table
in Appendix C of the textbook, determine the displacement at C, the deflection and the slope at
end A. Draw the FBD of each simple loading considered. The properties of the beam can be found
in Appendix B and inside the back cover of the textbook.
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
1
MECH-3211 – Stress Analysis – Section 52
Tutorial Assignment #7
Wednesday, Nov. 27, 2024
Student ID#
Name:
Mark:
Problem 12-124: Before the uniform distributed load is applied to the beam, there is a small gap
of 0.2 mm between the beam and the post at B. Using the principle of superposition and the Slopes
and Deflections of Beams table, determine the support reactions at A, B and C. The post at B has a
diameter of 40 mm, and the moment of inertia of the beam is I = 875×106 mm4. The post and the
beam are made of steel which has a modulus of elasticity of E = 200 GPa.
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
2
MECH-3211 – Stress Analysis – Section 52
Tutorial Assignment #7
Wednesday, Nov. 27, 2024
Student ID#
Name:
Mark:
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
3
MECH-3211 – Stress Analysis – Section 52
Tutorial Assignment #7
Wednesday, Nov. 27, 2024
Student ID#
Name:
Mark:
Problem 11-46: The shaft is supported by frictionless journal bearings at A and B that exert force
components only in the x and z directions. Determine the smallest diameter of the shaft to the
nearest 1/8 in. so that it can resist the loadings without exceeding an allowable shearing stress of
𝑟𝑎𝑙𝑙𝑜𝑤 = 6 ksi.
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
4
MECH-3211 – Stress Analysis – Section 52
Tutorial Assignment #7
Wednesday, Nov. 27, 2024
Student ID#
Name:
Mark:
If you have insufficient space to complete the solution on this side of the page, please use the reverse side.
5