6:53 PM M ..39 and 300 mm long solid copper bar of 20 mm diameter (See Figure 1). The composite bar is heated 35°C above room temperature, clamped at both ends and then allowed to cool to room temperature. If the distance between the clamps is unchanged find the stress in each bar. For steel, use a = 12.5 x 100% E = 200 GPa and for Aluminum use a = 17 x × 10**; E = 130 GPa 500 m Figure Q1 Question 2 A narrow steel strip, 15 mm thick, is clad by two magnesium plates, one is 2.5 mm thick and the other is 3.5 mm thick as show in Figure 2. Calculate the change in stress in each strip for a centigrade degree rise in temperature of the compound strip. Assume perfect bonding of the strips along their length. For steel, a = 12 x 10°/°C; E = 200 GN/m². For magnesium, a = 27 x 10°/°C; E = 45 GN/m² 3.5mm 15 mm 2.5 mm Figure Q2 Question 3 A horizontal beam AD, 10 m long, carries a uniformly distributed load of 25kN/m, together with a concentrated load of 36 kN at the left-hand end A (see Figure Q3). The beam is supported at a point B which Im from A and at C which is in the right-hand half of beam and x from the end D. 15 kN Mid-point of beam 10 kN/m 25 kN 4 m 15-x) m D 19-xml xm Figure Q3 a. Determine the value of x if the mid-point of the beam is a point of inflexion (or contra-flexure) b. For this arrangement plot the shearing force diagram and bending moment diagrams, indicating all the principal numerical values 2 of 3 B
6:53 PM M ..39 and 300 mm long solid copper bar of 20 mm diameter (See Figure 1). The composite bar is heated 35°C above room temperature, clamped at both ends and then allowed to cool to room temperature. If the distance between the clamps is unchanged find the stress in each bar. For steel, use a = 12.5 x 100% E = 200 GPa and for Aluminum use a = 17 x × 10**; E = 130 GPa 500 m Figure Q1 Question 2 A narrow steel strip, 15 mm thick, is clad by two magnesium plates, one is 2.5 mm thick and the other is 3.5 mm thick as show in Figure 2. Calculate the change in stress in each strip for a centigrade degree rise in temperature of the compound strip. Assume perfect bonding of the strips along their length. For steel, a = 12 x 10°/°C; E = 200 GN/m². For magnesium, a = 27 x 10°/°C; E = 45 GN/m² 3.5mm 15 mm 2.5 mm Figure Q2 Question 3 A horizontal beam AD, 10 m long, carries a uniformly distributed load of 25kN/m, together with a concentrated load of 36 kN at the left-hand end A (see Figure Q3). The beam is supported at a point B which Im from A and at C which is in the right-hand half of beam and x from the end D. 15 kN Mid-point of beam 10 kN/m 25 kN 4 m 15-x) m D 19-xml xm Figure Q3 a. Determine the value of x if the mid-point of the beam is a point of inflexion (or contra-flexure) b. For this arrangement plot the shearing force diagram and bending moment diagrams, indicating all the principal numerical values 2 of 3 B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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