S= 1 4 F nd² = 4F πα?
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Why did it became 4F/A from F/A, in (a)
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- An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.Hexagonal nuts for 6.25mm diameter bolts have a height of 5.5mm. If the ultimate strength of the nut material in shear is 103MPa, what is the most nearly the maximum allowable shear force on the nut thread using a safety factor of 5?The notched steel bar shown below is loaded in tension by a uniformly distributed force of ?=15kN. What is the minimum thickness of the bar necessary to avoid yielding (assume yield strength of 200MPa)?
- Find the equivalent stresses at Points 1 and 2 of the element with given geometry and loading conditions according to the Maximum shear stress hypothesis and the Maximum strain energy hypothesis. Shaft diameter: 20 mm, Shaft Length 120 mm, F1 = 750N, F2 = 3000N, Mb = 2400 N.mm. Steel if St37 and Safety coefficient is 2 If taken, will this stick work safely under these operating conditions? (Yield of given steel Strength 225 Mpa, Tensile strength 370 Mpa)A circular dise of 150 min diameter and 10 mm thickness is compressed between two flat dies, and μ = 0.1 determine sticking radius and load on dies if avg. yield stress is 200 N/mm².A cylinderbar of steel,10 mm in diamter is to be defromed elastically by application of a force along the bar axis (axial loading) .determine the force that will produce an elastic reduction of 0.003 mm in the diameter.The poisson's ratio is 0.30 and the modulus of elasticity is 207 Gpa for carbon steel.
- A mild steel cover plate is to be designed for an inspection hole in the shell of a pressure vessel. The hole is 120 mm in diameter and the pressure inside the vessel is 6 N/mm2. Design the cover plate along with the bolts. Assume allowable tensile stress for mild steel as 60 MPa and for bolt material as 40 MPaA circular dis of lead of radius 150 mm and thickness 50 mm is reduced to a thickness of 25 mm by open die forging. Avg shear yield stress of lead can be taken as 4 N/ mm². Determine max. force required if u-0.25 and 0.1 both cases.A 1.2 m pulley is fastened to a 5 in shaft by means of a square key with 140 mm long. What force tangent to pulley rim in kN will crush the key if bearing stress is 50 ksi? Assume key and shaft are of the same material.
- A bar is subjected to fluctuating tensile load from 20 kN to 100 kN. The material has yield strength of 240 MPa and endurance limit in reversed bending is 160 MPa According to the Soderberg principle, the area of cross-section in mm of the bar for a factor of safety of 2 is.....For a given material, Young’s modulus is 100GPa and shear modulus is 40GPa. Find the bulk modulus and lateral contraction of a round bar of 40mm diameter and 2.5 m long when stretched 2.5 mm.Problem 18.20, please show all work? Section 18.7 Axially Loaded Steel Machine PartsFor Problems 18.18 through 18.21, use the Euler–Johnson formulas, Equations (18.9) and ( 18.10), and a modulus of elasticity of 30,000,000 psi. 18.18 Calculate the allowable axial compressive load for a bar of rectangular cross section that measures 1 in. by 2 in. and is 20 in. long. The member is made of AISI 1040 hot-rolled steel. Use a factor of safety of 3.5 and assume the member is pin-connected. 18.19 Compute the required diameter of a piston rod of AISI 1040 hot-rolled steel with a length of 20 in. The rod is subjected to an axial compressive load of 6000 lb. Use a factor of safety of 2.5. Assume that the rod is pin-connected. 18.20 Compute the required diameter of an air cylinder piston rod of AISI 1040 hot-rolled steel. The rod has a length of 54 in. and is subjected to an axial compressive load of 1900 lb. Assume pinned ends. Use a factor of safety of 3.5. 18.21 Compute the required…