fixed-end moment

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

 

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

 

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 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 729 | Uniform load over the center part of fixed-ended beam

Problem 729
For the restrained beam shown in Fig. P-729, compute the end moment and maximum EIδ.
 

729-fixed-ended-beam.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 715 | Distributed loads placed symmetrically over fully restrained beam

Problem 12
Determine the moment and maximum EIδ for the restrained beam shown in Fig. RB-012. (Hint: Let the redundants be the shear and moment at the midspan. Also note that the midspan shear is zero.)
 

715-restrained-beam-symmetrical-uniform-loads.gif

 

Problem 714 | Triangular load over the entire span of fully restrained beam

Problem 714
Determine the end moments of the restrained beam shown in Fig. P-714.
 

714-restrained-beam-triangular-load.gif

 

Solution
$\delta_A = 0$

$\delta_{triangular\,\,load} - \delta_{fixed\,\,end\,\,moment} - \delta_{reaction\,\,at\,\,A} = 0$
 

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