Beam Deflection

Problem 620
Find the midspan deflection δ for the beam shown in Fig. P-620, carrying two triangularly distributed loads. (Hint: For convenience, select the origin of the axes at the midspan position of the elastic curve.)
 

Problem 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 615
Compute the value of EI y at the right end of the overhanging beam shown in Fig. P-615.
 

Problem 614
For the beam loaded as shown in Fig. P-614, calculate the slope of the elastic curve over the right support.
 

Problem 613
If E = 29 × 10⁶ psi, what value of I is required to limit the midspan deflection to 1/360 of the span for the beam in Fig. P-613?
 

Problem 612
Compute the midspan value of EI δ for the beam loaded as shown in Fig. P-612.
 

Problem 609
As shown in Fig. P-609, a simply supported beam carries two symmetrically placed concentrated loads. Compute the maximum deflection δ.
 

Problem 608
Find the equation of the elastic curve for the cantilever beam shown in Fig. P-608; it carries a load that varies from zero at the wall to w_o at the free end. Take the origin at the wall.