A tee shape steel beam is supported by 30 mm diameter pin and roller at point...

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A tee shape steel beam is supported by 30 mm diameter pin and roller at point B and D. The beam is used to support the loads shown in Figure 1 (a). The dimensions of the beam cross sections are shown in Figure 1 (b). a) Determine the centroid location, the moment of inertia about the z-axis i. for the beam, ii. ii) at section B of beam. b) Calculate the bending stress on section B (pin support), where the point of stress is located 100 mm from the top of the beam. State whether the normal stress at this point is tension or compression. c) Based on shear force and moment diagram of the beam as given in Figure 1 (c), calculate the maximum compressive bending stress at any location along the beam. 38 70 kN 30 kN 90 kN/m 30 dia 470 L 14 B A C 1.8 m 1.2 m (a) 3m Shear Force (V),kN -30.00 A D 1.2 m KN 75 KN Moment (M), kNm I B E 67.86 C 137.86 -54.00 111.43/ 137.00 3.93 m -212.14 20 WHOLE BEAM SECTION D 400 -90.00 y 75.00 X meter (m) X meter (m) (b) 400 200 20 SECTION AT B 38 470 A tee shape steel beam is supported by 30 mm diameter pin and roller at point B and D. The beam is used to support the loads shown in Figure 1 (a). The dimensions of the beam cross sections are shown in Figure 1 (b). a) Determine the centroid location, the moment of inertia about the z-axis i. for the beam, ii. ii) at section B of beam. b) Calculate the bending stress on section B (pin support), where the point of stress is located 100 mm from the top of the beam. State whether the normal stress at this point is tension or compression. c) Based on shear force and moment diagram of the beam as given in Figure 1 (c), calculate the maximum compressive bending stress at any location along the beam. 38 70 kN 30 kN 90 kN/m 30 dia 470 L 14 B A C 1.8 m 1.2 m (a) 3m Shear Force (V),kN -30.00 A D 1.2 m KN 75 KN Moment (M), kNm I B E 67.86 C 137.86 -54.00 111.43/ 137.00 3.93 m -212.14 20 WHOLE BEAM SECTION D 400 -90.00 y 75.00 X meter (m) X meter (m) (b) 400 200 20 SECTION AT B 38 470

Answer rating: 100% (QA)

Solution a Centroid location The centroid of a teeshaped beam can be found by taking the average of the moments of the crosssectional areas about the zaxis First lets find the moment of inertia about ... View the full answer