- 2 M 20 Kn M Figure Q3 A 2 M D 2 M B B 10 Kn M Figure Q3 C 2m 300 Mm 100 Mm Cross Section Figure Q3 B 2 M 20 Kn 1 (21.04 KiB) Viewed 33 times
- 2 M 20 Kn M Figure Q3 A 2 M D 2 M B B 10 Kn M Figure Q3 C 2m 300 Mm 100 Mm Cross Section Figure Q3 B 2 M 20 Kn 2 (21.04 KiB) Viewed 33 times
- 2 M 20 Kn M Figure Q3 A 2 M D 2 M B B 10 Kn M Figure Q3 C 2m 300 Mm 100 Mm Cross Section Figure Q3 B 2 M 20 Kn 3 (40.82 KiB) Viewed 33 times
2 m + 20 kN/m FIGURE Q3(a) 2 m D 2 m B + B 10 kN/m FIGURE Q3(c) 2m 300 mm 100 mm Cross section FIGURE Q3(b)
(a) (b) (c) Briefly explain, what is the difference between the double integration and Macaulay's method for determining deflection and slope in beam structures? (3 marks) As shown in Figure Q3(a), a uniform distributed load of 20 kN/m is applied to the centre of the beam. The cross section of the beam is shown in Figure Q3(b). The beam has the modulus of elasticity of E = 200 GPa. By using the Macaulay's method, (i) Determine the equations of slope and deflection. (ii) (iii) Determine the maximum deflection in the beam. Determine the slope at point A. (10 marks) (3 marks) (2 marks) A cantilever beam with the length of 4 m is shown in Figure Q3(c). In this beam, a uniform distributed load of 10 kN/m in the length of BC is applied. Use the moment- area theorem to determine the slope at point B. Take EI as constant. (7 marks)