Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of diameter of 25 mm and of length 1.6 m, if the longitudinal strain in a bar during a tensile test is four times the lateral strain. Find the change in volume, when the bar is subjected to a hydrostatic pressure of 100 N/mm?. Take E = 1 x 105 N/mm?.
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Q: Find the value of strain stress=30 MPa Modulus of elasticity=65 MPa
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- A circular cylindrical steel tank (see figure) contains a volatile fuel under pressure, A strain gage at point A records the longitudinal strain in the tank and transmits this information to a control room. The ultimate shear stress in the wall of the tank is 98 MPa, and a factor of safety of 2,8 is required. (a) At what value of the strain should the operators take action to reduce the pressure in the tank? (Data for the steel are modulus of elasticity E = 210 GPa and Poisson's ratio v = 0.30.) (b) What is the associated strain in the radial directionA rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.If the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, What is the axial strain in the cylinder wall at mid-depth?
- The longitudinal strain in a cylindrical bar of diameter 20mm and length 2.5m during the tensile stress is 3 times the lateral strain. Calculate the modulus of rigidity, bulk modulus and also find the change in volume when the bar is subjected to hydrostatic pressure of 150MPA. Take E = 150GPA.The length of a wire increases from 1.25 m to 1.2508 m when a load of 12 kg is suspended. The radius of the wire is 0.5 mm. Find the stress, strain and young's modulus of material of the wire. Draw a free body diagram.A tube has 25mm outside diameter and an axial tensile load of 40 kN. If the strain on the tube is limited to 0.1% and density of 7800kg/m^3, what is the maximum internal diameter of the tube in mm?
- Find the value of strain stress 30 MPa Modulus of elasticity=65 MPaThe figure below shows a hollow circular beam with an outside diameter of 150 mm and a wall thickness of 50 mm loaded in bending with force F = 400 kN. F Ra Rb 1 m 1 m Young's modulus of the beam is 95 GPa. Calculate the second moment of area, I, in m4 in the form a x 10 6 where the number a is correct to two decimal places. I: x10-°m4 Calculate the maximum bending moment, M, in kilonewtonmetres (kNm): M: kNm Calculate the maximum bending stress, o, in megapascals (MPa) correct to two decimal places. MPaA copper wire of 1mm diameter and 20cm in length is stretched by 0.1cm by applying a force of 10N,find a.the stress b.the strain on the wire c.Young's Modulus d what is the strain on the wire if the wire was stretched by 1%
- An element of bone in plane strain where the state of strain are = 12 x 10-4). Find (a) the stresses at (Ex = 8 x 10-4, €y = 5 x 10-4, Yxy orientation a counterclockwise angle (40 deg.) from the x-axis, b) the strain energy and (c) the failure stress by Von Misses criteria. Known Modulus of elasticity = 2 x 10° N/m² and Poisson's ratio = 0.3124,000s o(2) 0 s85 0.03 (o in MPa) 1+ 300ɛ (a) Find the axial normal strain in the cable and its elongation due to the load W = 6.8 kN. (b) If the forces are removed, what is the permanent set of the cable? Hint: Start with constructing the stress-strain dia- gram and determine the modulus of elasticity, E, and the 0.2% offset yield stress. D 2 m A 1.5 m B 1.5 m E m--1 m- 0.75 m 0.25 m W = 6.8 kNA closed thin walled cylindrical vessel has a diameter D of 890 mm, a wall thickness t of 1.5 mm and length L of 790 mm. It is subject to an internal pressure P causing longitudinal strain EL of 0.001 in the vessel. Assuming that Youngs modulus is 200 GN/m2 and Poisson's ratio is 0.3, calculate the internal pressure P. Give your answer in MPa to 3 significant figures. de D 00 $ 00