300 mm B P E P C D G 450 mm 4P F 14. 15. 1 The assembly consists of two 10mm diameters red brass C83400 copper rods AB and CD, a 15mm diameter 304 stainless steel rod EF, and a rig d bar G. The modulus of elasticity for red brass C83400 is 101 GPa, for 304 stainless steel 193 Gra. If the horizontal displacement of end FF of rod EFEF is 0.4 mm, determine the magnitude of P. Express your answer to three significant figures and include the appropriate units. I
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- A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?A 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.A bar, 12 mm in diameter is acted upon by an axial load of 20 kN. The change in diameter is measured as 0.03 mm. DeterminePoisson’s ratioYoung’s modulusBulk modulus Assume modulus of rigidity as 80 GPa
- A copper rod of 50mm diameter is surrounded by a steel tube of 100mm external diameter, the ends being firmly fastened together, subjected to a compressive load of 30kN. Youngs modulus of elasticity of steel is 200GPa and that of copper is 120GPa. Evaluate the stress produced in the copper rod and steel tube.(5) A gas engine valve spring is loaded to 35kgf when the valve is closed & 52kgf hen the valve is open. The valve lift is 8mm. The outside diameter is to be from 38mm~45mm, & the permissible stress is 413N/mm2 . Determine: (a) the wire & outside diameter; (b) the number of effective coils; (c) the free length when it is squared & ground.A steel bar 2m long, 20 mm wide and 10 mm thick is subjected to a pull of 20 kN inthe direction of its length. Find the change in thickness. Take E-200 GPa and Poisson'sRatio 0.30
- PROBLEM SOLVING: A rigid bar is supported by three non-rigid steel rods, as shown. Rods AB and FG are 0.8 m long with a cross-sectional diameter of 30 mm. Rod CDE is made up of equally-long 0.40 – m CD and DE whose cross-sectional diameters are 60 mm and 30 mm, respectively. A 45 kN downward load is applied to the rigid bar. There is no initial strain before the application of the load. Let Esteel = 200 GPa Determine the internal forces on rods AB, CDE, and FG Determine the displacement of the rigid bar. If the allowable displacement of the horizontal rigid bar is 0.071 mm downwards, what maximum allowable vertical load can be applied for a factor of safety of 3? А F 0.40 m 60mm¢ D 0.8 m 0.8 m 30mm¢ 30mmф 0.40 m 30mm E G 45 kNQ1A long, flat steel bar 260mm wide and 35mm thick has a circular hole 50mm in diameter, centrally located. The allowable tensile stress for the steel is 160Mpa. Calculate the axial tensile load that may be applied to the bar. TO D 3.0 (a) 2r Circular hole (b) Semicircular grooves (c) Fillets 2.8 2.6 2.4 Circular hole 2.2 II 2.0 1.8 Fillets Semicircular grooves II 1.6 1.4 1.2 1.0 0.2 0.3 0.4 0.5 rld 0.1 0.6 0.7 0.8 0.9 1.0
- The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares, each with a cross-sectional area of 340 mm2. bar (1) has a length L1 = 810 mm and bar (2) has a lenght L2 = 1080 mm. Assume dimensions of a = 480mm, b = 38mm, and c = 600mm. If the allowable normal stress in bars (1) and (2) must be limmited to 165 MPa each, determine: a) the maximum load P that may be applied at D to the rigid bar. b) The deflection at D for the load determined in part (a).A circular rod of hot-rolled 4340 steel (4340-HR steel – 4mm diameter, 1.35m long) is subjected to a tensile load (applied normal to the circular cross-section). The modulus of elasticity of steel is 207 GPa. What is the maximum load that can be applied without causing permanent deformation? Ultimate Yield Strength, S. Strength, S, ksi MPa ksi MPa Material 6. 41 110 124 16 3003-A 6061-A 6061-T6 Aluminum 18 8. 55 alloys 45 310 40 276 Naval brass-A 54 376 17 117 Copper alloys Cartridge brass-CR 76 524 63 434 66 455 42 290 1020-HR 1045-HR 4340-HR Steel alloys 92 638 60 414 151 1041 132 910 87 600 35 241 Stainless steels 303-A 316-A 440C-A 84 579 42 290 110 759 70 483 Titanium Commercial 80 551 70 482 Table 5.3 alloy *The numerical values given are representative, and values for specific materials could vary with composition and processing. A = annealed, HR = hot-rolled, CR = cold-rolled, and T = tempered. Ultimate and Yield %3D Strengths of Selected Metals*Big and clear handwriting with the drawing please. Make sure calculations and answers are accurate please. THANK YOU