Engineering Homework Help

REQUIRED CALCULATIONS:

– Predicted versus measured displacements at 22.5, 45, and 67.5 inches for each load
increment in Tests 1, 2, and 3.

– Bending moment diagram for the 100 lb point load case for Tests 1, 2, and 3.

– Maximum tensile and compressive bending stresses the beam experiences for Tests 1,
2, and 3. Compare these against an assumed yield stress of 40 ksi.

REQUIRED PLOTS:

Using the vertical axis as displacement and the horizontal axis as position x along member
length), plot the following for the 20, 60, and 100 pound load cases (3 plots total):

– For Test 1, predicted displacements at 2.5 inch increments along the length of the beam.
Plot individual measured displacements on the same graph at the 22.5, 45, and 67.5
inch marks as points.

– For Test 2, predicted displacements at 2.5 inch increments along the length of the beam.
Plot individual measured displacements on the same graph at the 22.5, 45, and 67.5
inch marks as points.

– For Test 3, predicted displacements at 2.5 inch increments along the length of the beam.
Plot individual measured displacements on the same graph at the 22.5, 45, and 67.5
inch marks as points.

REQUIRED DISCUSSION:

Discuss how the theoretical and measured displacements compare. If they are different explain
why. Do they trend in the same direction? Upon unloading, do the measured results follow the
results from loading at the same applied force level? Are there any differences between
predicted displacements upon loading and unloading, or are they theoretically identical?
Compare the results from Test 1 at the dial indicator locations to the sum of the results of Tests
2 and 3 at those locations. Note anything of interest from your calculations, and state any
mathematical relationships you may observe.