A 100 mm diameter bar is used as a simply supported beam 4m long. The value of * :uniform distributed load (w) is 3m Rz an sloar shear dingram Re Mas M Moment dingroun 5600 kN/m O 6.5 kN/m O 5.6 kN/m O 6500 kN/m Non of them
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- Solve the preceding problem for a W 250 × 89 steel column having a length L = 10 m. Let E = 200 GPa.A square wood platform is 8 ft × 8 ft in area and rests on masonry walls (see figure). The deck of the platform is constructed of 2-in. nominal thickness tongue-and-groove planks (actual thickness 1.5 in.; sec Appendix CL) supported on two S-ft long beams. The beams have 4 in. × (i in. nominal dimensions (actual dimensions 3.5 in. × 5.5 in.). The planks arc designed to support a uniformly distributed load n ( lb/ft" i acting over the entire top surface of the platform. I be allowable bending stress for the planks is 2400 psi and the allowable shear stress is 100 psi. W ben analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over the top surfaces of the supporting beams. (a) Determine the allowable platform load Mr. (lb/ft2) based upon the bending stress in the planks. (b) Determine the allowable platform load if-. (lb/ft-) based upon the shear stress in the planks. (c) Which of the preceding values becomes the allowable load alolow on the platform? Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside faces of the supporting beams..17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.
- Beam ABC is loaded by a uniform load q and point load P at joint C. Using the method of superposition, calculate the deflection at joint C. Assume that L = 4 m, a =2ra, q = 15 kN/m, P = 7.5 kN, £ = 200 GPa, and / = 70.8 X 106 mm4.A 10-ft rigid bar AB is supported with a vertical translational spring at A and a pin at B. The bar is subjected to a linearly varying distributed load with maximum intensity q0. Calculate the vertical deform at ion of the spring if the spring constant is 4 kips/in.The bending moment diagram and cross-section for a beam are shown below. Use the elastic flexural formula ox = -Mzy/l, to determine the required strength of the beam to resist the compressive stresses. Circle the correct answer for the compressive strength in ksi: 2.3, 2.5, 27.5, 30, 37.7 Show your work below. Bending Moment Diagram Beam Cross-Section 4" +50 2' (K-Fe) 2" 2" - 40 2"
- estion 5 at yet swered A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 70 Gpa, E (wire C) = 200 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behavior. arked out of L00 Flag estion 1.5 m 2 m 3 m 2 m 2 m Select one: O P= 287 N OP- 537 N OP-573 N P-430 N OP-597 NA uniform beam, 1.5 metre long, is suspended in a horizontal position by two vertical support rods as shown in the figure below. Rod A has a diameter of 12 mm and manufactured from steel with Esteel = 210 GPa. Rod B has a diameter of 16 mm and is made from copper with Ecopper = 105 GPa. This simply supported beam is to carry a motor vehicle engine and gearbox weighing 5,5 kN. Determine the distance ‘x’ from the left-hand support ‘A’ in order for the beam to remain in a horizontal position. Calculate the stress in each rod due to the applied load. Calculate the movement (extension) of the support wires under this 10 kN load. Will the rods be able to withstand the applied load? Motivate your answer.A beam weighing 50 kg is attached to a pin at C and supported by a steel cable OA with Young's modulus, E= 200 x 10° N/m2 as shown in Figure Q2. An inclined force of 5000 N is applied to end of the beam at point D with 40° angle measured from the x-Axis. 5000 N Sna pho Wel 2.5 m B. 888-888- 4m By providing your a automateditext mer messaging eates may 5 m 3 m Figure Q2 Loadings on beam My Textbo a) Draw a free-body diagram of the beam Solunons b) Calculate the tension of steel cable OA c) Determine the reaction forces of Fex and Fey d) Determine the elongation of steel cable OA byChego
- A steel bar of cross-sectional area 200 mm^2 is loaded as shown in Fig. Find the change in length of the bar. Take E as 200 GPa. 50 kN 45 kN 35 kN 30 kN + 200 mm 300 mm 150 mmRead the question carefully and give me right solution according to the question.. Please answer all. Don't miss anything. Figure 5 shows a rigid horizontal beam ABCE which is supported by a pair of rectangular bars CD at C. The cross-sectional size of each of the rectangular bar is 37.5 × 12.5 mm. Modulus of elasticity of the bar is E=80 GPa. Vertical loads of 17.5 kN and 35 kN act at points B and E, respectively.Compute:i) Vertical displacement of point Bii) Vertical displacement of point EIf it is given that the allowable displacement of point C is 1 mm, determine the minimum thickness of rectangular bar CD required. The width of the rectangular bar should be kept unchanged at 37.5 mm.For the following structure, represent Mohr's Circle at point K of the structure and pointSection P, demonstrating the following steps:a) Effort diagram;b) Calculation of the geometric properties of the section; θ= 10thq=61kN/mV= 51kNN=48kNh1 = 221 mmb1=221 mmh2=t=21 m