A rod of length 40 mm is stretched to make a rod of length 60 mm. It is compressed to make a rod of final length 30 mm. Consider the longitudenal tensile strain as positive and compressive strain as negative.
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- A 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.The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.A copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0°. (a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod? (b) If the rod diameter is 0.5 in., what is the minimum permissible length of the rod?
- A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C. (a) Find reactions at supports^, C, and E. (b) Find internal stress, resultants N, V, and M just to the right of joint C. (c) Find resultant force in the pin near C.- 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 circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.
- A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.A specimen used in a coupon test is shown in the figure. The stresses on element A are known to be sy= -1500 psi. Use Mohr’s circle to: (a) Find the stresses acting on the element oriented at an angle ?? = -35°. (b) Find maximum normal and shear stresses and show them on sketches of properly oriented elements.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
- A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under tension. If the wire length extension is 2.5 mm, calculate the stress in the wire. Give your answer in N/m2to 2 decimal places. (show all work)A steel bar having 65mm*65mm*3000mm dimension is subjected to an axial force of 128 kN. Taking E=2*105N/mm2 and m = 0.3, find out Change in dimensions (height, width and length), Change in volume and Volumetric StrainAt a point in a bar of cast iron, the principal stresses are 60 MPa tensile and 120 MPa compressive whereas the third principal stress is zero. Find the factorsof safety based on the elastic limit when the criterion of failure is principal stress theory. Assume the elasticlimit of cast iron is 90 MPa in tension and 440 MPa in compression