(a) Find the moment of inertia of a T-section with flange as 150 mm x 50...

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(a) Find the moment of inertia of a T-section with flange as 150 mm x 50 mm and web as 150 mm x 50 mm about X-X and Y-Y axes through the centre of gravity of the section. (b) A T-section beam has dimensions as shown in Figure. The beam is used as a simply supported beam od span 1.5 m. Calculate the uniformly distributed load (q kN/m) which can be applied if the maximum tensile stress in the material is not to exceed 100 MPa. What is then the greatest bending stress in the flange? -q kN/m 1.5m- 50 Figure (c) A cast-iron bracket subjected to bending, has a cross-section of I-shape with unequal flanges as shown in Figure. If the compressive stress in top flange is not to exceed 17.5 MPa, what is the bending moment, the section can take? If the section is subjected to a shear force of 100 kN, draw the shear stress distribution over the depth of the section. -*— — 250 50 T 250 B 150- -150mm- 10mm- T 90mm -10mm 50 Figure (d) Two wires, one of steel and the other of copper, are of the same length and are subjected to the same tension. If the diameter of the copper wire is 2 mm, find the diameter of the steel wire, if they are elongated by the same amount. Take E for steel as 200 GPa and that for copper as 100 GPa. (a) Find the moment of inertia of a T-section with flange as 150 mm x 50 mm and web as 150 mm x 50 mm about X-X and Y-Y axes through the centre of gravity of the section. (b) A T-section beam has dimensions as shown in Figure. The beam is used as a simply supported beam od span 1.5 m. Calculate the uniformly distributed load (q kN/m) which can be applied if the maximum tensile stress in the material is not to exceed 100 MPa. What is then the greatest bending stress in the flange? -q kN/m 1.5m- 50 Figure (c) A cast-iron bracket subjected to bending, has a cross-section of I-shape with unequal flanges as shown in Figure. If the compressive stress in top flange is not to exceed 17.5 MPa, what is the bending moment, the section can take? If the section is subjected to a shear force of 100 kN, draw the shear stress distribution over the depth of the section. -*— — 250 50 T 250 B 150- -150mm- 10mm- T 90mm -10mm 50 Figure (d) Two wires, one of steel and the other of copper, are of the same length and are subjected to the same tension. If the diameter of the copper wire is 2 mm, find the diameter of the steel wire, if they are elongated by the same amount. Take E for steel as 200 GPa and that for copper as 100 GPa.