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المساهمات : 93
تاريخ التسجيل : 21/09/2008
 |  موضوع: مسائل S.F. & B.M digram  2008-09-28, 2:11 pm | |
| Example Set 13
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These problems are from your textbook and the solutions are provided. I may add a few comments to go with the solution and explain what they are suppose to show. If you have questions, email me and I will post the question and hopefully the answer in a separate webpage.
[10.3-3]
A cantilever beam AB of length L has a fixed support at A and a roller support at B. The support at B is moved downward through a distance dB. Using the fourth-order differential equation of the deflection curve (the load equation), determine the reactions of the beam and the equation of the deflection curve. (Express all results in terms of the imposed deflection dB).
[10.3-5]
A propped cantilever beam AB of length L supports a triangularly distributed load of maximum intensity q0. Beginning with the fourth-order differential equation of the deflection curve (the load equation), obtain the reactions of the beam and equation of the deflection curve.
[10.4-3]
The figure shows a propped cantilever beam ABC having span length L and an overhang of length a. A concentrated load P acts at the end of the overhang. Determine the reactions RA, RB, and MA for the beam. Also draw the shear-force and bending-moment diagrams, labeling all critical ordinates.
[10.4-7]
Beam ABC is fixed at support A and rests(at point B) upon the midpoint of beam DE(see first part of the figure). Thus, beam ABC may be represented as a propped cantilever beam with an overhang BC and a linearly elastic support of stiffness k at point B(see second part of the figure). The distance from A to B is L = 10 ft., the distance from B to C is L/2 = 5 ft, and the length of the beam DE is L = 10 ft. Both beams have the same flexural rigidity EI. A concentrated load P = 1700 lb acts at the free end of beam ABC. Determine the reactions RA, RB, and MA for beam ABC. Also, draw the shear-force and bending-moment diagrams for ABC, showing all critical ordinates.
[10.4-9]
A beam AB is cantilevered from a wall at one end and held by a tie rod at the other end. The beam is S 6 X 12.5 I-beam section with length L = 6 ft. The tie rod has a diameter of 1/4 inch and length H = 3 ft. Both members are made of steel with E = 30 X 106 psi. A uniform load of intensity q = 200 lb/ft acts along the length of the beam. Before the load q is applied, the tie road just meets the end of the cable. (a) Determine the tensile force T in the tie rod due to the load q. (b) Draw the shear-force and bending-moment diagrams, show all critical ordinates, for the beam.
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