moment diagram by parts

Problem 679
Determine the midspan value of EIδ for the beam shown in Fig. P-679 that carries a uniformly varying load over part of the span.
 

Problem 678
Determine the midspan value of EIδ for the beam shown in Fig. P-678.
 

Problem 677
Determine the midspan deflection of the beam loaded as shown in Fig. P-677.
 

Problem 676
Determine the midspan deflection of the simply supported beam loaded by the couple shown in Fig. P-676.
 

Problem 674
Find the deflection midway between the supports for the overhanging beam shown in Fig. P-674.
 

Problem 669
Compute the value of EIδ midway between the supports of the beam shown in Fig. P-669.
 

Problem 661
Compute the midspan deflection of the symmetrically loaded beam shown in Fig. P-661. Check your answer by letting a = L/2 and comparing with the answer to Problem 609.
 

Problem 660
A simply supported beam is loaded by a couple M at its right end, as shown in Fig. P-660. Show that the maximum deflection occurs at x = 0.577L.
 

Problem 659
A simple beam supports a concentrated load placed anywhere on the span, as shown in Fig. P-659. Measuring x from A, show that the maximum deflection occurs at x = √[(L² - b²)/3].
 

Problem 658
For the beam shown in Fig. P-658, find the value of EIδ at the point of application of the couple.