Find the Von-Mises yield stresses
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- (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.A double riveted lap joint is made between 15mm thick plates. The rivet diameter and pitch are 25 mm and 75 mm, respectively. If the ultimate stresses are 400 MPa in tension, 320 MPa in shear and 640 MPa in crushing, find the minimum force per pitch which will rupture the joint. If the above joint is subjected to a load such that the factor of safety is 4, find out the actual stresses developed in the plates and rivets.
- 5 A one mm diameter steel wire is wounded around a copper tube with external and internal diameters of 140 mm and 120 mm respectively, to increase the strength of tube against internal pressure, find what initial tension must be given to wire, so that maximum allowable stresses for the tube and wire materials 90 and 200 N/mm? respectively are reached simultaneously. Assume poisson coefficient for wire and tube material as 0.3. Modulus of elasticity for copper and steel wire 1000 N/mm' and 2000 N/mm? respectively. The tube is open at ends. reouirementsFA one mm diameter steel wire is wounded around a copper tube with external and internal diameters of 140 mm and 120 mm respectively, to increase the strength of tube against internal pressure, find what initial tension must be given to wire, so that maximum allowable stresses for the tube and wire materials 90 and 200 N/mm? respectively are reached simultaneously. Assume poisson coefficient for wire and tube material as 0.3. Modulus of elasticity for copper and steel wire 1000 N/mm' and 2000 N/mm' respectively. The tube is open at ends.An cylinder is 30 cm in diameter and the steam pressure is 7 kg/cm. If the cylinder head is held by 12 studs, find the size, assume safe tensile stress as 280 N/mm
- 4. A ring made of 2-5 cm diameter steel bar carries a pull of 10 kN. Calculate the maximum tensile and compressive stresses in the material of the ring. The mean radius of the ring in 15 cm.A brass rod of diameter 50mm and of length 250mm which is subjected to a tensile liad of 300kN when the extension of the rid is 0.10mm. Calculate: Cross-sectional area (b) Stress (c)strain (d) Young's modulus4) A composite section 2 m in length, consisting of a steel tube with outer diameter 24 m and thickness 3 mm, enclaves a solid copper har 18 mm diameter. An axial compressive load of 250 KN is applied on the assembly, Young's modulus for steel and copper are taken a 2 x 10 N/mn und I x 10 Ntm respectively. Calculate the stresses developed in stoel and ccipper. Also caleulate the load taken by both the materials.
- P solid, see Fig below. The outer diameter of the hollow and solid sections is 6 cm and the inner A circular metal bar with a 15 cm long section being hollow and a 30cm long section being diameter of the hollow section is 3.5 cm. The bar is loaded to an extension of 5 mm and then unloaded. o MPa The stress-strain curve of the metal is shown in the diagram below: solod -hollow квост. Calculate: a) Maximum load, P b) Length after unloading Бет 3.5 cm 250 P 10 = .01 .02 .03 € 6cmA cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 4.5 MPa. (a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 300 MPa and desired factor of safety is 1.5?Example 133: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 4.5 MN/m². (a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 120 MN/m'.