Shear force and bending moments

1. Draw the free-body diagram (FBD).

2. Determine the reaction of supports at points A and D.

3. Draw the shear diagram.

4. Draw the bending moment diagram under and vertically aligned
with the shear diagram.

5. Locate the section where the bending moment is maximum. This is
the critical section that will govern the design.

6. Calculate the nominal bending stress σbnom at the outer surface
of the critical section.

7. What is the shear stress due to shear force at the center of the
critical section?

8. Determine the stress concentration Kt, in bending, for a
sled-runner keyseat.

9. Using the stress concentration factor Kt just determined,
calculate the bending stress σb.

10. Determine the magnitude and the location of the maximum
deflection ymax of the beam.

11. Based on your calculations of bending stress alone, does the
shaft meet your design criteria determined in the first part of the
project? If not, suggest a new shaft diameter that will satisfy
your criteria.

Discussion

a. Are the value of the maximum deflection ymax due to transversal
load acceptable for a power transmission shaft such as the one
under consideration? Why?

b. Give two reasons why the shear stress due to shear force are not
relevant for this section?

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