support reaction

Problem 450 - Reactions at Hinge Support of the Frame Holding

Problem 450
The billboard BC weighing 1000 lb is subjected to a wind pressure of 300 lb/ft as shown in Figure P-450. Neglecting the weights of the support-members, determine the component of the hinge forces at A and F.
 

450-billboard.gif

 

Problem 449 - Reactions at the Supports of a Bridge

Problem 449
The bridge shown in Figure P-449 consists of two end sections, each weighing 20 tons with center of gravity at G, hinged to a uniform center span weighing 12 tons. Compute the reactions at A, B, E, and F.
 

449-massive-bridge.gif

 

Problem 855 | Continuous Beams with Fixed Ends

Problem 855
If the distributed load in Prob. 854 is replaced by a concentrated load P at midspan, determine the moments over the supports.
 

855-i-span.gif

 

Answers:
$M_1 = \dfrac{PL}{8} \cdot \dfrac{1}{\alpha + 2} = M_4$

$M_2 = -\dfrac{PL}{8} \cdot \dfrac{2}{\alpha + 2} = M_3$
 

Problem 854 | Continuous Beams with Fixed Ends

Problem 854
Solve for the moment over the supports in the beam loaded as shown in Fig. P-854.
 

854-i-span.gif

 

Answers:
$M_1 = \dfrac{w_o L^2}{12} \cdot \dfrac{1}{\alpha + 2} = M_4$

$M_2 = -\dfrac{w_o L^2}{12} \cdot \dfrac{2}{\alpha + 2} = M_3$
 

Problem 853 | Continuous Beams with Fixed Ends

Problem 853
For the continuous beam shown in Fig. P-853, determine the moment over the supports. Also draw the shear diagram and compute the maximum positive bending moment. (Hint: Take advantage of symmetry.)
 

853-shear-diagram.gif

 

Problem 848 | Continuous Beams with Fixed Ends

Problem 848
Determine the support moments and reactions for the beam shown in Fig. P-848.
 

848-imaginary-spans.gif

 

Problem 845 | Continuous Beams with Fixed Ends

Problem 845
Compute the moments over the supports for the beam shown in Fig. P-845 and then draw the shear diagram.
 

845-shear-diagram-imaginary-span.gif

 

Problem 842 | Continuous Beams with Fixed Ends

Problem 842
For the propped beam shown in Fig. P-842, determine the wall moment and the reaction at the prop support.
 

842-overhanging-propped-beam.gif

 

Problem 836 | Reactions of Continuous Beams

Problem 836
For the continuous beam loaded as shown in Fig. P-816, determine the length x of the overhang that will cause equal reactions.
 

816-equal-moments-over-supports.gif

 

Problem 835 | Reactions of Continuous Beams

Problem 835
Refer to Problem 827 for which M2 = -1215 lb·ft and M3 = -661 lb·ft.
 

835-shear-diagram.gif

 

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