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Problem Set Chapter 7: Restrained Beams

This document outlines 8 problems involving restrained beams. The problems involve calculating reactions at supports, drawing shear and moment diagrams, computing restraining moments at walls for cantilever beams, determining deflections of springs, calculating end moments, and finding propped reactions and curvature values using the moment-area method.

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400 views3 pages

Problem Set Chapter 7: Restrained Beams

This document outlines 8 problems involving restrained beams. The problems involve calculating reactions at supports, drawing shear and moment diagrams, computing restraining moments at walls for cantilever beams, determining deflections of springs, calculating end moments, and finding propped reactions and curvature values using the moment-area method.

Uploaded by

FerrolinoLouie
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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PROBLEM SET

CHAPTER 7: RESTRAINED BEAMS

1. Find the reactions at the supports and draw the shear and moment diagrams of the
propped beam shown in Fig. P-704 using superposition method and double integration
method.

2. Find the reaction at the simple support of the propped beam shown in Fig. P-705 using
double integration method and sketch the shear and moment diagrams.

3. A couple M is applied at the propped end of the beam shown in Fig. P-707. Compute R at
the propped end and also the wall restraining moment.
4. Two identical cantilever beams in contact at their ends support a distributed load
over one of them as shown in Fig. P-708. Determine the restraining moment at
each wall.
 

5. The beam in Figure PB-006 is supported at the left by a spring that deflects 1 inch
for each 300 lb. For the beam E = 1.5 × 106 psi and I = 144 in4. Compute the
deflection of the spring.
 

6. Determine the end moments of the restrained beam shown in Fig. P-714.
 
7. For the propped beam shown in Fig. P-719, determine the propped reaction R
and the midspan value of EIδ using moment-area method.
 

8. In the perfectly restrained beam shown in Fig. P-737, support B has settled a
distance Δ below support A. Show that MB = -MA = 6EIΔ/L2.
 

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