Question

Q2 A simply supported beam of length L = 10 m carries both a uniformly distributed load wy of 10 kN/m and a non-uniformly distributed load with a maximum value of w2 =10 kN/m at its roller support, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure 02 (b). Self-weight of the beam is neglected. 300 mm w1 = 10 kN/m w2 = 10 kN/m 300 mm 1 L/2 L/2 300 mm Figure Q2 (a) Figure Q2 (b)

Answer 1

(a). for fully plastic bending condition neutral asus coninside with equal area axis. Tommt d K 160mm A NT (160mm € 300mm A - Depth of mentral axis from upper Flange = 160mm (h). Section Maniculls of section ap= A (oths) Vi = 72 = 10x300X155 H10X150x75 lox 700+10x150 - 108.33 mm 1:30= 2x[]0X300+10415 150747262853 = 1154970 mm3 :. Fully plastic moment = ty, Tension XP -250N X 1154970mm = 288742500N-mm 288.7425 Inom 2 3 mont