Question

Question 3 Use Moment Area theorems in the beam shown in Figure 3 to determine the following: a-Deflection at C. b-Deflection at D. Use E for modulus of elasticity and I for moment of inertia for the whole beam. Q.3 20KN toler B → С D pin Roller 4m Figure 3 —

Answer 1

Sul displacement at c and to by MOM. 20KN 10kpl B 4me 6m 4m RA= SIN RB = 22 KN BMD diagram 320sobe Et 0 3.33ms EF 475 A 4m 2061m 40 kmplo EL Elastic curre 4m с 6m 49) عه XCIA teja - * 4) x 34 (+ 2 x 32 x 4 ) x 34 EL 256 3 EI +04A = (x 32 x4)(4 +6) +fX32X243) (2:43 72438 -/+ x 40 x 3-33)x 3.33 3 613.706 EI

613.706 10 (EL) 61037 Ef y= OX4 - 61.37 x 4 = 245.48 EJ EL dc = y-tela 245.48 - 256 EL 3 ET 160=147 EL (down, end tyre 6x A D. talc - 640 3 El tety tola - (* * *4.) x 234 tarc=($* 32 x 4) (3x4) + (5 * * 2.63) (4+243) * 4 * 3.33) (246+ 4 + 2x3:33 3 11 212.506 OB= *A/C/10 21. 25 X OBX4. 21:25 x4 85761 ADE OS (640 120.33 upuraid). 3 EL