3. A steel bar 600mm long and having 30mm diameter, is turned down to 25mm diameter for one fourth of its length. It is heated at 30 C above room temperature, clamped at both ends and then allowed to cool to room temperature. If the distance between the clamps is unchanged, the maximum stress in the bar ( a 12.5 x 10 per C and E 200 GN/m) is
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- Q3/ A patient who suffers from a problem in the knee joint and needs a joint replacement. As a Biomaterials engineer, you have three metal materials, any of these materials in the table 1. you prefer for the replacement process with mentioning the reason. If you know that the joint is exposed to compression resistance resulting from the weight of the person, and the load applied on the joint is 80 kg, with a cross-sectional area of 40 mm Table 1. The materials properties Materials Compressive strength (Mpa) Туре I 17.6 Туре II 30.2 Туре I 6.514. A solid steel shaft of 0.2 m diameter has a bronze bush of 0.3 m outer diameter shrunk on to it. In order to remove the bush, the whole assembly is raised in temperature uniformly. After a rise of 100°C the bush can just be moved along the shaft. Neglecting any effect of temperature in the axial direction, calculate the original interface pressure between the bush and the shaft. For steel: E = 208 GN/m², v= 0.29, a = 12 x 10-6 per a = 18 × 10 6 per For bronze: E= 112 GN/m², v=0.33,5. A steel bolt through a 25-in long aluminum tube has the nut turned on until it just touches the end of the tube. No stress is introduced on the bolt or the tube. The temperature of the assembly is raised from 70 to 79 degrees Fahrenheit. The cross- sectional area of the bolt is 0.08 sq. inch and the cross-sectional area of the tube of 0.25 sq. inch. For steel: E = 30 x 106 psi, coefficient of thermal expansion = 6.5 x 10-6/°F For aluminum: E = 10 x 106 psi, coefficient of thermal expansion = 13.0 x 10-6/°F a. Find the thermal deformation (in inches) of the bolt. b. Find the thermal deformation (in inches) of the aluminum tube. c. Find the stress (in psi) induced in the bolt by the temperature change. d. Find the stress (in psi) induced in the aluminum tube by the temperature change. 1911 EDI
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