Beam Deflection

Solution to Problem 656 | Deflections in Simply Supported Beams

Problem 656
Find the value of EIδ at the point of application of the 200 N·m couple in Fig. P-656.
 

Simple beam with concentrated and moment loads

 

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

 

Deflections in Simply Supported Beams | Area-Moment Method

The deflection δ at some point B of a simply supported beam can be obtained by the following steps:
 

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

 

Solution to Problem 643 | Deflection of Cantilever Beams

Problem 643
Find the maximum value of EIδ for the cantilever beam shown in Fig. P-643.
 

Concentrated load in Cantilever Beam

 

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