Grambling State University Grambling, Louisiana 71245 Course: CET 303-Structural Analysis: Homework Number 8; 60 points. Spring 2021 Solve Problems P7.1 to P7.6 by the double integration P7.4. Derive the equations for slope and deflection for method. El is constant for all beams. P7.1. Derive the equations for slope and deflection for the beam in Figure P7.1. Compare the deflection at B with the deflection at midspan. the beam in Figure P7.4. If E-29,000 ksi, /= 50 in.4. and L=10 ft, compute the values of slope and deflection at x=L A P7:1 5 kips/f P7.4 25 kips/ft 300 kip.ft P7.2. Derive the equations for slope and deflection of the beam shown in Figure P7.2. Assume the moment reac- tions at each fixed end are as shown. Compute the deflec- tions at points B and C. P7.5. Establish the equations for slope and deflection for the beam in Figure P7.5. Evaluate the magnitude of the slope at each support. Express answer in terms of El. 30 -1/4-1/4- P7.2 C D) WE 1/2- L2 M P7.5 L/2 P7.3. Derive the equations for slope and deflection for the beam in Figure P7.3. Compute the maximum deflec- tion. Hint: Maximum deflection occurs at point of zero slope. P7.6. Derive the equations for slope and deflection for the beam in Figure P7.6. Determine the slope at each sup- port and the value of the deflection at midspan. Hint: It has been determined that the maximum deflection occurs at x=0.544L such that the slope is zero there. P7.3 21/3 + 1/3- P7.6

Fig: 1