midspan deflection

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 675
Repeat Prob. 674 for the overhanging beam shown in Fig. P-675.
 

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

Problem 673
For the beam shown in Fig. P-673, show that the midspan deflection is δ = (Pb/48EI) (3L² - 4b²).
 

In simply supported beams, the tangent drawn to the elastic curve at the point of maximum deflection is horizontal and parallel to the unloaded beam. It simply means that the deviation from unsettling supports to the horizontal tangent is equal to the maximum deflection. If the simple beam is symmetrically loaded, the maximum deflection will occur at the midspan.
 

Problem 665
Replace the concentrated load in Prob. 664 by a uniformly distributed load of intensity w_o acting over the middle half of the beam. Find the maximum deflection.
 

Problem 664
The middle half of the beam shown in Fig. P-664 has a moment of inertia 1.5 times that of the rest of the beam. Find the midspan deflection. (Hint: Convert the M diagram into an M/EI diagram.)