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Problem 738 | Fully restrained beam with moment load

Problem 738
A perfectly restrained beam is loaded by a couple M applied where shown in Fig. P-738. Determine the end moments.
 

738-moment-load-fixed-ended-beam.gif

 

Solution 738

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Problem 737 | Fully restrained beam with one support settling

Problem 737
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.
 

737-restrained-beam-with-settling-support.gif

 

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Problem 736 | Shear and moment diagrams of fully restrained beam under triangular load

Problem 736
Determine the end shears and end moments for the restrained beam shown in Fig. P-736 and sketch the shear and moment diagrams.
 

736-fully-restrained-beam-triangular-load.gif

 

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Problem 735 | Fixed-ended beam with one end not fully restrained

Problem 735
The beam shown in Fig. P-735 is perfectly restrained at A but only partially restrained at B, where the slope is woL3/48EI directed up to the right. Solve for the end moments.
 

735-fixed-ended-beam-one-end-not-fully-restrained.gif

 

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Problem 734 | Restrained beam with uniform load over half the span

Problem 734
Determine the end moments for the restrained beams shown in Fig. P-734.
 

734-restrained-beam-uniform-load-half-span.gif

 

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Problem 733 | Cantilever beam with moment load at the free end and supported by a rod at midspan

Problem 733
The load P in Prob. 732 is replaced by a counterclockwise couple M. Determine the maximum value of M if the stress in the vertical rod is not to exceed 150 MPa.
 

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Problem 732 | Cantilever beam supported by a cable at midspan

Problem 732
The midpoint of the steel in Fig. P-732 is connected to the vertical aluminum rod. Determine the maximum value of P if the stress in the rod is not to exceed 120 MPa.
 

Cantilever beam supported with aluminum rod at the midspan

 

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Problem 731 | Cantilever beam supported by cable at the free-end

Problem 731
The beam shown in Fig. P-731 is connected to a vertical rod. If the beam is horizontal at a certain temperature, determine the increase in stress in the rod if the temperature of the rod drops 90°F. Both the beam and the rod are made of steel with E = 29 × 106 psi. For the beam, use I = 154 in.4
 

Cantilever beam hanged with cable at the free end
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Problem 730 | Uniform loads at each end of fully restrained beam

Problem 703
Determine the end moment and maximum deflection for a perfectly restrained beam loaded as shown in Fig. P-730.
 

730-fixed-ended-symmetrical-uniform-load.gif
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Problem 814 | Continuous Beam by Three-Moment Equation

Problem 814
Find the moment at R2 of the continuous beam shown in Fig. P-814.
 

814-continuous-beam-triangular-load.gif
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