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- A shock mount constructed as shown iu the figure is used to support a delicate instrument. The mount consists of an outer steel tube with inside diameter b. a central steel bar of diameter d that supports the load P, and a hollow rubber cylinder (height /r) bonded to the tube and bar (a) Obtain a formula Tor the shear stress t in the rubber at a radial distance r from the center of the shock mount. (b) Obtain a formula Tor the downward displacement S of the central bar due to the load P. assuming that G is the shear modulus of elasticity of the rubber and that the steel tube and bar are rigid.A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the springAn elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.
- Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.A homogeneo us 4o kg vigid block is suspended by three spring whose lower ends were oviginally at the same level Each steel spring has 30 tums •f meau diametu of loo mm 8 mm diameter wive on a G= 83 GN/m?.The bvonze spring has uo tuvns mean diameter of of 15 mm diameter wive on 120mm G=42 GN /m? Compute the maximun and sheaving stress in each spring Phosphor Bronze Steel Steel 1 m 2 m wwwwurses This course EHide blocks OP=294 N O P = 235 N Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 120 Gpa and a Poisson's ratio of 0.33. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 4.998 mm. determine the applied force F. Select one: O a. F= 3427 N O b. F = 8568 N O C.F= 2285 N O d. F= 7140 N O e. F = 5712 N O f.F= 2856 N Finish attempt ...
- A mechanism used in printing machinery consists of a tension spring assembled with a preload of 40 N. The mean diameter of the coilis 32 mm with a spring index of 8. The spring has 18 active coils. The spring wire is hard drawn and oil tempered having the following material properties: a.Design shear stress = 700 MPb b. .Modulus of rigidity = 80 kN/mm2 Identify (a) the initial torsional shear stress in the wire, (b) the spring rate, and (c) the force to cause the body of the spring to reach its yield strength.Q.I Avigid horizontal bar of negligible mas is Conected to two vods as shown in fig If w = 15 kg the Length Fig If W =15 kg the Length %3D 2m and Cvoss avea yoomm? and E - 2lo Pa e Coefficients °F linear expansion ave 11.5 Mm(m.e) for steel rod and the Leng th 3.5m, Cross aea 1500 mm, of Linear expansion ave E 85 GPa and Coffients 19 um Cm.c) for bronze rod. Compute the temperature change that will cause the 3tress in the steel vod to be 65 M pa . bronze steel 1.5 W 15kgFor the cuivnualt Spning constaw ki =k k2= 2K I) Derive the expression the fou the equivalent spring constant Het relates the applied fouce to the resulting dissepracement x OF the syste Show in the rig Assaming the displacemeut of the ink te be Sucall.
- A hard-drawn steel wire extension spring has a spring index Of 7.5, hook radii of r = 0.106 in and r2 0.089 in, and an initial tension of 1.5 lbf. The number of body turns is 13.5 and the uncorrected initial stress is 16.5 kpsi. From the given information: (a) Determine the physical parameters of the spring. (b) Find all stresses at ends A and B and the body torsion under the static load of 6 Ibf.A mechanism used in a punchingmachinery consists of a tension spring assembled with a preload of 30 N. The wire diameter of spring is 2 mm with a spring index of 7. The spring has 10active coils. The spring wire is hard drawn and oil tempered having the following material properties:Design shear stress = 780 MPa Modulus of rigidity = 80 kN/mm2Identify (a) the initial torsional shear stress in the wire, (b) the spring rate, and (c) the force to cause the body of the spring to reach its yield strength.A hydraulic cylinder with a bore radius of 100 mm and an outer radius of 200 mmhas been designed to withstand a maximum internal pressure of 200 MPa inservice. During operation, the pressure within the cylinder is retained by a freelysliding piston. The steel used in the manufacture has Young’s modulus of 210GNm-2. In an alternative design, the cylinder has been constructed as a compoundcylinder (duplex cylinder) with the same bore and outer radii by shrink-fitting twotubes of the same steel. The nominal radius at the common interface is 150 mmand the radial interference (shrinkage allowance, δ) is 100 μm (micro-meters).a) Determine using Lame’s equations, the radial and circumferentialstresses at the cylinder bore, common interface, and outer surface.b) Graphically present (sketch) the variation of each of these stresses acrossthe cylinder wall, clearly indicating the values at the inner and outer surfacesof each cylinder.c) Draw the Mohr's circles representing the stresses acting on…