Solution to Problem 619 | Double Integration Method
Problem 619
Determine the value of EIy midway between the supports for the beam loaded as shown in Fig. P-619.

MATHalinoEngineering Math ReviewProblem 619
Determine the value of EIy midway between the supports for the beam loaded as shown in Fig. P-619.

Problem 617
Replace the load P in Prob. 616 by a clockwise couple M applied at the right end and determine the slope and deflection at the right end.
Problem 616
For the beam loaded as shown in Fig. P-616, determine (a) the deflection and slope under the load P and (b) the maximum deflection between the supports.

Problem 589
A channel section carries a concentrated loads W and a total distributed load of 4W as shown in Fig. P-589. Verify that the NA is 2.17 in. above the bottom and that INA = 62 in4. Use these values to determine the maximum value of W that will not exceed allowable stresses in tension of 6,000 psi, in compression of 10,000 psi, or in shear of 8,000 psi.
Problem 586
The distributed load shown in Fig. P-586 is supported by a box beam having the same cross-section as that in Prob. 585. Determine the maximum value of wo that will not exceed a flexural stress of 10 MPa or a shearing stress of 1.0 MPa.
Problem 554
Determine the maximum tensile and compressive stresses developed in the overhanging beam shown in Fig. P-554. The cross-section is an inverted T with the given properties.
Problem 508
Determine the minimum height h of the beam shown in Fig. P-508 if the flexural stress is not to exceed 20 MPa.