Problem

(Civil eng.) The stress placed on the fixed end of a symmetrical steel I-beam, shown in Fi...

(Civil eng.) The stress placed on the fixed end of a symmetrical steel I-beam, shown in Figure, can be determined by this formula:

S is the stress.

L is weight, in lbs, of the load placed on the beam. 

I is the beam’s rectangular moment of inertia in units of in4.

d is the distance, in inches, the load is placed from the fixed end of the beam (technically referred to as the “moment arm”).

c is one half the height, in inches, of a symmetrical beam.

Figure: Determining the stress on an I-beam

a. Determine the units of stress, S, by calculating the units resulting from the right side of the formula.


b. For a steel beam having a rectangular moment of inertia of 21.4 in4 and a height of 6 inches, determine the stress for a load of 700 lbs placed 8 feet from the fixed end.


c. If you were required to write a computer program to determine the stress placed on a symmetrical beam, what inputs, outputs, and algorithm would you use? 

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