Uniformly Varying Load

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

Problem 670
Determine the value of EIδ at the left end of the overhanging beam shown in Fig. P-670.
 

Problem 667
Determine the value of EIδ at the right end of the overhanging beam shown in Fig. P-667. Is the deflection up or down?
 

Problem 657
Determine the midspan value of EIδ for the beam shown in Fig. P-657.
 

Coplanar Parallel Force System
Parallel forces can be in the same or in opposite directions. The sign of the direction can be chosen arbitrarily, meaning, taking one direction as positive makes the opposite direction negative. The complete definition of the resultant is according to its magnitude, direction, and line of action.
 

Problem 648
For the cantilever beam loaded as shown in Fig. P-648, determine the deflection at a distance x from the support.
 

Problem 647
Find the maximum value of EIδ for the beam shown in Fig. P-647.
 

Problem 646
For the beam shown in Fig. P-646, determine the value of I that will limit the maximum deflection to 0.50 in. Assume that E = 1.5 × 10⁶ psi.
 

Problem 645
Compute the deflection and slope at a section 3 m from the wall for the beam shown in Fig. P-645. Assume that E = 10 GPa and I = 30 × 10⁶ mm⁴.