area-moment method

Problem 844 | Continuous Beams with Fixed Ends

Problem 844
In the propped beam shown in Fig. P-844, determine the prop reaction.
 

844-overhanging-propped-beam.gif

 

Problem 843 | Continuous Beams with Fixed Ends

Problem 843
Use the three-moment equation to determine the wall moment and solve for the prop reaction for the beam in Fig. P-843.
 

843-propped-beam-triangle-load.gif

 

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

 

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.
 

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

 

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

Problem 728 | Isosceles triangular load over the entire span of fully restrained beam

Problem 728
Determine the end moment and maximum deflection of a perfectly restrained beam loaded as shown in Fig. P-728.
 

728-fixed-ended-beam-isosceles-triangle-load.gif

 

Problem 727 | Fully restrained beam with uniform load over the entire span

Problem 727
Repeat Problem 726 assuming that the concentrated load is replaced by a uniformly distributed load of intensity wo over the entire length.
 

Problem 726 | Fully restrained beam with concentrated load at midspan

Problem 726
A beam of length L, perfectly restrained at both ends, supports a concentrated load P at midspan. Determine the end moment and maximum deflection.
 

Problem 725 | Propped beam with partially restrained wall and settling simple support

Problem 725
If the support under the propped beam in Problem 724 settles an amount $\delta$, show that the propped reaction decreases by $3EI\delta / L^3$.
 

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