1. A member is formed by connecting a steel bar to an aluminum bar as shown...

    
 

   

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1. A member is formed by connecting a steel bar to an aluminum bar as shown in figure. Assuming that the bars are prevented from buckling sideways, suggest a value for the force P that will cause the total length of the member to decrease by 0.025 cm. Given E(Steel) = 210 GPa and E(aluminum) = 70 GPa. The values for the bulk modulus of steel bar is given by K (Steel) = 540 GPa and the bulk modulus of aluminum bar is given by K (aluminum) = 110 GPa. Compare the changes that occurs in the volume of the steel bar and aluminum bar. Also comment on how the volume change occurs due to the influence of the axial load based on the conclusions. (8 marks) 5 cm x 5 cm Steel bar TE 30 cm 10 cm x 10 cm Aluminum bar 38 cm Q2: For analyzing a structure, shear force and bending moment diagrams were plotted for a simply supported beam of span 8 m when subjected to a uniformly distributed load of 'w' kN/m over a length of 4 m from the left end support, a point load '2.4 w' kN at a distance 6 m from the left end support and another uniformly distributed '0.6 w' kN/m at a distance 2 m from the right end support. It was noted that the magnitude of shear force at distance 4 m from the left end support is equal to (-12.5 kN). Suggest a suitable value for 'w' based on the given data. How it will change the reactions at the supports, shear force and bending moment values. By plotting bending moment and shear force diagram for the beam briefly conclude the relationship between the values for shear force and bending moment. (8 marks) Q3: Experiments were conducted to find the deflection of a cantilever beam of diameter 250 mm and span 'L' m when subjected to a point load of 45 kN at the free end. The maximum slope of the beam is found to be 0.0073 radians. Suggest a suitable value for 'L' in meters, and magnitude of maximum deflection. Tests were repeated for a simply supported beam having span 5 meters, made up of same material and cross section similar to that of the cantilever beam. When the beam is carrying a uniformly distributed load magnitude 'w' N/mm over the entire span, the maximum deflection was observed to be 2.35 mm. Compare the results for maximum slope and deflection in both cases. Verify the results using double integration method. Take E = 180x 10° N/m². (8 marks) Q4: An I-section joist 450 mm x 250 mm x 20 mm is used as a strut with one end fixed and the other end free carrying a buckling load of 200 x 106 N. Suggest the changes to be made in the length of the strut for a constant flexural rigidity by considering both the ends to be hinged, both the ends to be fixed and one end fixed but the other end hinged. Compare the values of the safe buckling load for all end conditions. Given modulus of elasticity of the material, E = 210 GPa and consider factor of safety = 5. If the least radius of gyration of the column was found to be 25.96 mm, determine the values for the slenderness ratio for all four end conditions of the column. State and verify the validity of the (8 marks) Euler's column theory based on the slenderness ratio for all the four end conditions. Q5: Tension test was conducted on three specimens having 50 mm diameter, made up of steel, brass and aluminum. Followings are the data's considered: Material Steel Brass Aluminum Length 2 L L 2 m Load P 100 kN 100 KN Extension 1.57 mm 1.57 mm AL Maximum load 155 kN 140 kN 128 kN Breaking load 200 kN 180 KN 156 kN Diameter at fracture 32 mm 22 mm 19 mm Modulus of Elasticity, E 2038 tonnes/cm2 988.79 tonnes/cm2 703.37 tonnes/cm2 Suggest a suitable value for load 'P' on the steel specimen, length of the steel and brass specimen and elongation of the aluminum specimen based on the properties of the materials. Compare the results for ultimate stress, breaking stress, and percentage contraction of area at fracture. Conclude the reasons for the changes in the elongation of all three specimens based on the results obtained. (8 marks) 1. A member is formed by connecting a steel bar to an aluminum bar as shown in figure. Assuming that the bars are prevented from buckling sideways, suggest a value for the force P that will cause the total length of the member to decrease by 0.025 cm. Given E(Steel) = 210 GPa and E(aluminum) = 70 GPa. The values for the bulk modulus of steel bar is given by K (Steel) = 540 GPa and the bulk modulus of aluminum bar is given by K (aluminum) = 110 GPa. Compare the changes that occurs in the volume of the steel bar and aluminum bar. Also comment on how the volume change occurs due to the influence of the axial load based on the conclusions. (8 marks) 5 cm x 5 cm Steel bar TE 30 cm 10 cm x 10 cm Aluminum bar 38 cm Q2: For analyzing a structure, shear force and bending moment diagrams were plotted for a simply supported beam of span 8 m when subjected to a uniformly distributed load of 'w' kN/m over a length of 4 m from the left end support, a point load '2.4 w' kN at a distance 6 m from the left end support and another uniformly distributed '0.6 w' kN/m at a distance 2 m from the right end support. It was noted that the magnitude of shear force at distance 4 m from the left end support is equal to (-12.5 kN). Suggest a suitable value for 'w' based on the given data. How it will change the reactions at the supports, shear force and bending moment values. By plotting bending moment and shear force diagram for the beam briefly conclude the relationship between the values for shear force and bending moment. (8 marks) Q3: Experiments were conducted to find the deflection of a cantilever beam of diameter 250 mm and span 'L' m when subjected to a point load of 45 kN at the free end. The maximum slope of the beam is found to be 0.0073 radians. Suggest a suitable value for 'L' in meters, and magnitude of maximum deflection. Tests were repeated for a simply supported beam having span 5 meters, made up of same material and cross section similar to that of the cantilever beam. When the beam is carrying a uniformly distributed load magnitude 'w' N/mm over the entire span, the maximum deflection was observed to be 2.35 mm. Compare the results for maximum slope and deflection in both cases. Verify the results using double integration method. Take E = 180x 10° N/m². (8 marks) Q4: An I-section joist 450 mm x 250 mm x 20 mm is used as a strut with one end fixed and the other end free carrying a buckling load of 200 x 106 N. Suggest the changes to be made in the length of the strut for a constant flexural rigidity by considering both the ends to be hinged, both the ends to be fixed and one end fixed but the other end hinged. Compare the values of the safe buckling load for all end conditions. Given modulus of elasticity of the material, E = 210 GPa and consider factor of safety = 5. If the least radius of gyration of the column was found to be 25.96 mm, determine the values for the slenderness ratio for all four end conditions of the column. State and verify the validity of the (8 marks) Euler's column theory based on the slenderness ratio for all the four end conditions. Q5: Tension test was conducted on three specimens having 50 mm diameter, made up of steel, brass and aluminum. Followings are the data's considered: Material Steel Brass Aluminum Length 2 L L 2 m Load P 100 kN 100 KN Extension 1.57 mm 1.57 mm AL Maximum load 155 kN 140 kN 128 kN Breaking load 200 kN 180 KN 156 kN Diameter at fracture 32 mm 22 mm 19 mm Modulus of Elasticity, E 2038 tonnes/cm2 988.79 tonnes/cm2 703.37 tonnes/cm2 Suggest a suitable value for load 'P' on the steel specimen, length of the steel and brass specimen and elongation of the aluminum specimen based on the properties of the materials. Compare the results for ultimate stress, breaking stress, and percentage contraction of area at fracture. Conclude the reasons for the changes in the elongation of all three specimens based on the results obtained. (8 marks)

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1 AB steel bar bg 30cm Es 210 GPa 210X 1 Nmm 10 As 5x5 25 cm 2500 m... View the full answer