14 《 B 3m 50KN Determine the vertical displacement at Joint Principle of D. Use the Virtual Work AE IS Constant
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- Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.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…show all steps/solution
- problem 1.3-9 solution plz....A BAn ABC OF LeuaTH PARTS OF E@uAL LENGTH. SEGMENT Aß HAS CONSISTS OF 2 A DIAMETCR d,= 100 mm AND SEGMENT BC HAs A O1A METER d, = 60mm. Born SeGMENTS HAve A LENGTH Lb =600mm. d= 24 mm A LONGITUNAL HOLE OF DIAMETCR Is DRILL THRoUGH SEGMEUr AB FOr ONE HALF LENGTH (44= 300mm). The Bar is E=4G Pa. OF ITS MADE OF PLASTIC WITH FiNo THE RELATIUE To RELATIVE DOisPLACEM ENT of Powr C PoiNt A. (Sch) di dz 110KN 110KN A B CIndicate your assumptions, write the given and make an organized solution.
- 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 wwwwA uniform Steel strut (material Modulus of Elasticity 200 GN/m2, Poisson’s Ratio 0.3) oflength 0.5m and width 100 mm is restrained as appropriate at one end and under an axialtensile load of 25 KN applied to the other end face. It has been initially designed with a thickness of 5mm. This gives a hand calculated stressvalue of 50 MN/ m2, which is a quarter of the material’s Yield Stress, of 200 MN/m2, givinga factor of safety of four. Conduct computer FEA simulations applying element types(tetrahedral, hexahedral) and a range of element sizes (2mm, 5mm & 10mm), presenting findings in a tabulated format.3. During the design of spherical pressure vessel for space programs, a primary criterion is the mass of the vessel (which determines how much it costs to put it into the orbit). Given the stress in a thin walled spherical vessel is tensile and given by: Pr 2t where P is the pressure in the vessel, r is the radius and t is the wall thickness. For safety, materials will experience stress smaller that yield stress by a safety factor N. 10-1 Show that the minimum mass of the pressure vessel will be m= 2Νπ Pr' where p is the density of material. ys Given the data in Appendix B1 and B4 in the textbook, select the material (from following table) that will result in the lightest possible pressure vessel. Note in brittle materials the yield strength equal to tensile stress. Material Steel 4340 Q&T Al 7075-T6 Ti-6-4, aged ZnO3+Y2O3 Nylon 6,6 Composite, Aramid fibers in ероху Composite: CFRE
- An overhang hollow shaft having inside diameter 0.5 time outside diameter, carries a cast iron pulley having 800N weights and 900mm diameter, at 250mm from the nearest bearing. The pulley is driven by another pulley mounted on the shaft placed bellow it, to transmit 35kW at 400r.p.m. The belt ends are vertical and parallel; if the ratio of tensions in belt is 3 and the permissible shear stress for material of shaft is limited to 200MPa, determine the diameters of shaft.Q4: A steel cantilever, the factor of safety is 2, the sensitivity factor 0.9, surface finish factor is 0.81, size factor is 0.8. Sut= 600 MPa and vield strength is 310 MPa .Calculate the diameter at the fillet. Neglect the transverse shear stress. 1:5 100mm A 0.2d d -50 kN 150kN 200mmRepeat the previous problem using sx= 12 MPa.