4-83. Determine the reactions at A for the beam shown in Figure P4-83. FIGURE P4-83 77///////// B 15 7- 5' 300 lb
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- Solve Problem 4-12 using singularity functions. Use statics to determine the reactions. I have attached a picture of 4-12 below. Thank you in advance!Using the direct stiffness method for the spring assemblage in Figure 2, determine the following:a) Nodal displacementsb) The forces in each elementc) The reactions4/a. The beam given in Figure 4 is in equilibrium. Draw a free body diagram of the beam, explaining the types of connections used. b. The system in equilibrium given in Figure 5. i. Explain the connection types by examining them in terms of reaction force and reaction moment,ii. Draw the free body diagram, iii. Find the reactions (force and/or moment) in A and B in terms of P and L.
- The main cables of a suspension bridge (see figure part a) follow a curve that is nearly parabolic because the primary load on the cables is the weight of the bridge deck, which is uniform in intensity along the horizontal. Therefore, represent the central region AOB of one of the main cables (see part b of the figure) as a parabolic cable supported at points A and B and carrying a uniform load of intensity q along the horizontal. The span of the cable is L, the sag is /i, the axial rigidity is EA\ and the origin of coordinates is at mid span. (a) Derive the following formula for the elongation of cable AOB shown in part b or the figure: (b) Calculate the elongation 5 of the central span of one of the main cables of the Golden Gate Bridge for which the dimensions and properties are L = 4200 ft,h = 470 ft, q = 12,700 lb/ft, and E = 23,300,000 psi The cable consists of 27,572 parallel wires of diameter 0.196 in. Hint: Determine the tensile force Tal any point in the cable from a free-body diagram of part of the cable; then determine the elongation of an element of the cable of length ds: finally, integrate along the curve of the cable to obtain an equation for the elongation £.A circular bar ACB of a diameter d having a cylindrical hole of length .r and diameter till from A to C is held between rigid supports at A and B. A load P acts at U2from ends A and B. Assume E is constant. (a) Obtain formulas for the reactions R, and RBat supports A and B. respectively, due to the load P (see figure part a). (b) Obtain a formula for the displacement S at the point of load application (see figure part a). (c) For what value of x is RB= (6/5)?,? (See figure part a.) (d) Repeat part (a) if the bar is now rotated to a vertical position, load P is removed, and the bar is hanging under its own weight (assume mass density = p). (See figure part b.) Assume that x = LI2.Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.
- Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.Repeat 1.3-9 but use the method of sections go find member forces in AC and BD.The structure in Figure Q4 is made of two members, AB and BC, both made of metal with a Young's Modulus E = 110.41 GPa. Member AB has a rectangular cross-section, whose sides measure a = 35 mm, and b = 81 mm. Figure Q4 Calculate the Second Moment of Area of member AB with respect to its strongest orientation. Use π = 3.14159 in your calculations if needed. Express your answer in the unit: mm4. Report your answer to 2 decimal places.
- he structure in Figure Q3 is made of two members, AB and BC, both made of metal with a Young's Modulus E = 131.32 GPa. Member AB has a rectangular cross-section, whose sides measure a = 39 mm, and b = 95 mm. Figure Q3 Calculate the Second Moment of Area of member AB with respect to its weakest orientation. Use π = 3.14159 in your calculations if needed. Express your answer in the unit: mm4. Report your answer to 2 decimal places.4.Given Figure 2 determine the vertical reaction at C in N 5.Given Figure 2 determine the vertical reaction at B in N 6.Given Figure 2 determine the horizontal reaction at B in NFree-Body Diagram Involving Internal Reactions