Tube with 100 mm long and 20 mm diameter. If the axial load is 30or .applied to it. Determine the stress and strain if change in length AL=0.5r 3000 N
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- An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.Solve the preceding problem if the plate is made of aluminum with E = 72 GPa and Poisson’s ratio v = 0.33. The plate is loaded in biaxial stress with normal stress sx= 79 MPa, angle Ø = 18°, and the strain measured by the gage is e = 925 × 10-6.The vertical steel rod has a constant diameter of 32 mm and a length of 400 mm. is hanged from a rigid fixing. A mass is gently placed onto a collar which is attached to the lower end of the rod. The strain energy stored in the steel is 0.400 x 10-³. If Esteet = 209 GPa, 1.1 Determine the gradually applied load and magnitude of the mass. 1.2 Calculate the maximum stress in the rod when gradually applied. 1.3 Determine the magnitude of the mass when the mass is suddenly applied. 1.4 Calculate the extension of the rod when suddenly applied.
- The rigid beam is supported by a pin at A and wires BD and CE. If the load P on the beam causes the end C to be displaced 15 mm downward, determineA. the normal strain developed in wire CEB. the normal strain developed in wires BD. Show free body diagram and complete solution (no shortcut) SHOW PRESSURE DIAGRAM. THANK YOUDetermine the average normal strains in the two wires in Figure if the ringat A moves to A′.The rod is 200 mm long and 60 mm in diameter. If an axial load of 300 N is applied to it, determine the change in its length, the change in its diameter, normal stress and normal strain. The Poisson's ratio is 0.4 and the modulus of elasticity is 20 GPa.
- The modulus of elasticity for the steel cable is 25 (10)^6 psi. Determine the average stress in the cable under the applied load. Assume a linear stress strain curve.The bar has a cross-sectional area of 0.5 in2 and is made of a material that has a stress-strain diagram that can be approximated by the two line segments. Determine the elongation of the bar due to the applied loading.6. A prismatic bar of length L is subjected to axial load P. Determine the maximum strain & along the bar length, given that the axial displacement along the member length varies according u = (12/L) × 10-3.
- The elastic portion of the stress–strain diagram for an aluminum alloy is shown in the figure. The specimen from which it was obtained has an original diameter of 12.7 mm and a gage length of 50.8 mm. If a load of P = 60 kN is applied to the specimen, determine its new diameter and length. Taken = 0.35.A torque of 2 kip # in. is applied to the tube. If the wall thickness is 0.1 in., determine the average shear stress in the tube.If the copper in no. 2 is changed into steel with the same dimensions and with a modulus of elasticity of 200 GPa and a Poisson’s ratio of 0.30, determine the strains in all direction if the same stresses in no. 2 where to be applied to the steel.