strength of material exam

Exam #3, MCT-221 Strength of Materials, Fall, 2017

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Instructions: This exam consists of 3 problems worth a total of 100 points. THIS IS A TAKE HOME DUE TUES 10/24

1. An alloy steel (G=80 GPa) shaft has an outside diameter of 100 mm. A central hole of 60 mm diameter is bored

in part of its length as shown below (30 points):

a. Compute the shearing stress in the hollow section if the shearing stress in the solid section is 267 MPa.

Compute the angle of twist at the right end with respect to the left end for this configuration. (15

points).

b. Compute the shearing stress in the solid section if the shearing stress in the hollow section is 5000 MPa.

Compute the angle of twist at the right end with respect to the left end for this configuration. (10

points).

c. Does this shaft look distorted when it is twisted to a large degree? Why or why not? Include any

appropriate sketches or engineering terminology for full credit (5 points).

Exam #3, MCT-221 Strength of Materials, Fall, 2017

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1. Draw the shear and bending-moment diagrams for the beam and loading shown, and determine the maximum

absolute value (a) of the shear, (b) or the bending moment (35 points).

R2 R1

Exam #3, MCT-221 Strength of Materials, Fall, 2017

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2. Draw the shear and bending-moment diagrams for the beam and loading shown, and determine the maximum

absolute value (a) of the shear, (b) or the bending moment (35 points).

15 Kips 2 Kips/ft

4 ft 4 ft 4 ft