Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Note: Complete solution with figures. Express your intermediate answers with at least FOUR decimal places. BOX your FINAL ANSWERS.
The beam is shown below. Draw the influence lines using BRUTE-FORCE METHOD for the reactions
at A, D and F, shear and moment at C. Place all important ordinates and dimensions in the sketch.
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- Learning Goal: To be able to solve three-dimensional equilibrium problems using the equations of equilibrium. Part A As with two-dimensional problems, a free-body diagram is the first step in solving three-dimensional equilibrium problems. For the free-body diagram, it is important to identify the appropriate reaction forces and couple moments that act in three dimensions. At a support, a force arises when translation of the attached member is restricted and a couple moment arises when rotation is prevented.For a rigid body to be in equilibrium when subjected to a force system, both the resultant force and the resultant couple moment acting on the body must be zero. These two conditions are expressed as The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces Ay and Az at support A required to keep the system in equilibrium. The cylinder has a weight WB = 5.60 lb , and F = 1.50 Ib…arrow_forwardA smooth sphere of weight Wis supported by a string fastened to a point C on sphere and point A on the smooth vertical wall. The sphere is in contact with the wall at point B as shown in figure. If the length of the string AC is equal to the radius of sphere, then sum of magnitude of tension (T) in the string and reaction (R) on the wall is. W. (Round off two decimal places). A B Wall String Sphere Length of string AC = Radiusarrow_forwardBeam AC is in equilibrium with loading 100 N at B shown in the figure when β = 45. Determine the unknown forces Ax and Ay at A in x and y direction and Rc perpendicular to the beam AC in y’ direction at C by using the equilibrium equations: ∑ ???= 0 ; ∑ ??y= 0; and ∑ ???= 0 where o is an arbitrary point. (you have three equations to solve three unknowns)arrow_forward
- Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kNarrow_forwardFor the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below.arrow_forwardQ.2) (a) Calculate the support reactions of the loaded beam shown below. (b) Write equations for w(x), V(x) and M(x) of the beam using singularity functions. (c) Sketch the shear-force and bending moment diagrams for the beam for the beam using the Graphical method. Label the values of shear-force and bending-moment at all key points. 350 N.m G 0.5 m4 2m 95 N/m, 200 N 250 N.m 80 N/m 2m 300 N 0.5 marrow_forward
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