(Civil eng.) Modify the program written for Exercise to determine the maximum load that ca...

(Civil eng.) Modify the program written for Exercise to determine the maximum load that can be placed at the end of an 8-foot I-beam, shown in Figure, so that the stress on the fixed end is 20,000 lbs/in2. Use the fact that this beam’s rectangular moment of inertia is 21.4 in4 and the value of c is 3 in.

Figure: Calculating an I-beam’s maximum load

Exercise:

(Civil eng.) The maximum load that can be placed at the end of a symmetrical wooden beam, such as the rectangular beam shown in Figure, can be calculated as the following:

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

S is the stress in lbs/in2.

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

d is the distance in inches that the load is placed from the fixed end of the beam (the “moment arm”).

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

For a 2” × 4” wooden beam, the rectangular moment of inertia is given by this formula:

c = ½(4 in) = 2 in

a. Using this information, design, write, compile, and run a C++ program that computes the maximum load in lbs that can be placed at the end of an 8-foot 2” × 4” wooden beam so that the stress on the fixed end is 3000 lb/in2.

---

b. Use the program developed in Exercise a to determine the maximum load in lbs that can be placed at the end of a 3” × 6” wooden beam so that the stress on the fixed end is 3000 lbs/in2.

Figure: Calculating a symmetrical wooden beam’s maximum load