BC . ll AB 1 BD For the beam shown, find the following: 3a) The free...
1. A simple supported beam AB with 2 ft x2 ft cross section is under the parabolic distributed loading as shown. (a) Draw the free body diagram of the beam. (Ipt). (b) Find the reactions at A and B (2 pts).(c) Determine the internal loadings (shear force and bending moment) as functions of x. (2 pts) F-25 Ibiyt @x 0, F-0 & dF/dx-O @x-50 ft, F-25 IbEgt
Problem 1: A beam with a rectangular cross section is loaded as shown in the figure. The cross section of the beam is 3 mm wide and 8 mm high. a) Calculate the reaction forces R and R, (5 200 N 500 N pts) b) Using the singularity functions write out A в со the load intensity g(x) and obtain the shear V(x) and Moment M(x) equations by R 1100 N integrating g(x). (5 pts). 10 mm 10 mm 10...
a. Draw a complete free-body diagram for the beam shown in Fig. 1. Must show and label x-y coordinate system, support reactions, loads, and dimensions b. Derive formulas for all support reactions using conditions of equilibrium. Must show all work. c. Using the student variables shown below, calculate beam support reactions and draw shear and bending moment diagrams. To receive full credit, support reactions and loads must be shown on a free-body diagram. Each shear and bending moment diagram must...
2. (30 pts) The framework consists of three A-36 steel beams AB, CD, and BC. Each beam has a flexural rigidity EI (kip-ft?). The loading condition is shown in the figure below. (note: beams AB and CD are cantilevered beams subjected to uniform loads 5 kip/ft for 8 ft. Beam BC is a simple supported beam subjected to a force 15 kip in the middle of the beam). Appendix C of deflection charts is on the textbook. a) Calculate the...
For 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 w = 7.0 kips/ft, a= 9.0 ft, and b= 20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions.Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by...
The cantilever beam shown is subjected to a moment at A and a distributed load that acts over segment BC, and is fixed at C. Determine the reactions at the support located at C. Then write expressions for shear and bending moment as a function of their positions along the beam. Finally, use these expressions to construct shear and bending moment diagrams. Part A - Reactions at support C Draw a free-body diagram of the beam on paper. Use your...
A uniform, 24.5 kg beam of length 2.90 m is hanging horizontally as shown in the diagram below. It is pinned to a vertical wall at point B and supported by a uniform 15.9 kg diagonal brace that is pinned at point C on the beam and at point A on the wall. [Use g = 9.80 m/s2.] There is a load W, with a weight of 211 N, hanging at the end of the horizontal beam. The distance BC is...
For the beam shown, assume that ET-130 ,000 kip-ft2, P = 80 kips, and w = 4.5 kips/ft. Use discontinuity functions to determine (a) the reactions at A, C, and D (b) the beam deflection at B Assume LAB = LBC = 9.0 ft, LCD = 18.0 ft. AB CD Sum the forces in the y direction to find an expression that includes the reaction forces Ay, Cy, and Dy acting on the beam. Positive values for the reactions are...
Part 1 For 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=1.750 m, b=5.75 m, PA = 75kN, and Pc = 80kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Calculate the reaction forces B, and D, acting...
a. Draw a free-body diagram for the beam shown above and derive expressions for the support reactions at A and B b. Draw internal force (shear and bending moment) diagrams. c. If a = 10 ft and M0 = 200 ft-lb, use the dimensions of the beam cross-section, provided on the previous page, to compute the maximum flexural and shear stresses on the beam cross-section. d. If the allowable bending stress is 925 psi and the allowable shear stress is...