Uniformly Varying Load

Solution to Problem 679 | 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.
 

Solution to Problem 677 | Midspan Deflection

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

Solution to Problem 670 | Deflections in Simply Supported Beams

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

Overhang Beam with Triangle and Moment Loads

 

Solution to Problem 667 | Deflections in Simply Supported Beams

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?
 

Overhang beam with triangular and point loads

 

Solution to Problem 657 | Deflections in Simply Supported Beams

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

Simple beam under Uniformly Dereasing Load

 

Resultant of Parallel Force System

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.
 

Solution to Problem 648 | Deflection of Cantilever Beams

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

Cantilever beam loaded with uniformly increasing load

 

Solution to Problem 647 | Deflection of Cantilever Beams

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

Triangle load over half end of cantilever beam

 

Solution to Problem 646 | Deflection of Cantilever Beams

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.
 

Cantilever beam with triangular load at the middle

 

Solution to Problem 645 | Deflection of Cantilever Beams

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.
 

Cantilever beam with uniformly increasing load

 

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