Uniformly Distributed Load

Solution to Problem 666 | Deflections in Simply Supported Beams

Problem 666
Determine the value of EIδ at the right end of the overhanging beam shown in Fig. P-666.
 

Overhang beam with uniform load at the overhang

 

Solution to Problem 665 | Deflections in Simply Supported Beams

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

Solution to Problem 663 | Deflections in Simply Supported Beams

Problem 663
Determine the maximum deflection of the beam carrying a uniformly distributed load over the middle portion, as shown in Fig. P-663. Check your answer by letting 2b = L.
 

Uniform Load Over Middle Part of Simple Beam

 

Solution to Problem 654 | Deflections in Simply Supported Beams

Problem 654
For the beam in Fig. P-654, find the value of EIδ at 2 ft from R2. (Hint: Draw the reference tangent to the elastic curve at R2.)
 

Simple beam subjected to rectangular loading

 

Solution to Problem 653 | Deflections in Simply Supported Beams

Problem 653
Compute the midspan value of EIδ for the beam shown in Fig. P-653. (Hint: Draw the M diagram by parts, starting from midspan toward the ends. Also take advantage of symmetry to note that the tangent drawn to the elastic curve at midspan is horizontal.)
 

Simple beam with symmetrically placed rectangular 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 644 | Deflection of Cantilever Beams

Problem 644
Determine the maximum deflection for the beam loaded as shown in Fig. P-644.
 

Uniform load over half end of cantilever beam

 

Solution to Problem 640 | Deflection of Cantilever Beams

Problem 640
Compute the value of δ at the concentrated load in Prob. 639. Is the deflection upward downward?
 

Cantilever beam with uniform downward load and concentrated upward load

 

Solution to Problem 639 | Deflection of Cantilever Beams

Problem 639
The downward distributed load and an upward concentrated force act on the cantilever beam in Fig. P-639. Find the amount the free end deflects upward or downward if E = 1.5 × 106 psi and I = 60 in4.
 

Cantilever beam with uniform downward load and concentrated upward load

 

Solution to Problem 637 | Deflection of Cantilever Beams

Problem 637
For the beam loaded as shown in Fig. P-637, determine the deflection 6 ft from the wall. Use E = 1.5 × 106 psi and I = 40 in4.
 

637-cantilever-uniform-loads.gif

 

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