Question

Draw the shear and bending moment diagrams for the beams shown

3 KN 3 KN 450 N.m D 300 300 200 200 Dimensions in mm

Answer 1

0.450km Rix G D E 1.RAY * Support reactions de protek h Leer... ZKN Taking moment about point A EMA = D. 10:3m 0.2m kozm0.3ml RF => -3X0.5 -0.45 – 3X0.7 + REX1=0 => RF = 3.45 KN Taking ref honizontal equilibricem, Efx=0 → RAN = 0 Taking net venfical equilibrium, Ify=0 => Ray - 3-3+3.45-0 og med det => Ray = 2.55 KN * Shean fonce diagram: → Between A to c: Na = 2.55kN → Between C to D : Ve = 2.55-3 = -0.45 KN → Between FfE: Veo-1) = -3.45 KN · [Snean Ponce diagncm] → Between ELD: Vet-n) = -3,45+3 = -0.45 KN 2.CS KN I himmel -0.45 KN -3.45 KN

1-125kNm. 1.055 kNm. 0.765 kNm 0.675 Km E * Bending moment ciagnam: Befween A to C: M2 = 2.55 X kami MA = 2.55X0 = 0 Ma= 2.55 X 0.3= 0.765 KNm. → Between C to D: Ma = 2.559 – 3x(2-0:3) = 2.55N-39+0.9 = -0.45n+0.9 .Mee -0.45X0.3+0.9 = 0.765 km Mpe =-045 x 0.5 +0.9 = 0.675 kNm. → Between if to £ :. My = 3.454 ME = 0 Mer= 3.45X0.3 = 1.035 kNm → Between Eto D : My = 3.454 - 3x(4-0.3) = 3.454-34 +0.9 = 0.454'+0.5 Mes = 0.45X0.3+0.01 = 1.035 KNM Mor = 0.45X0.5+0.9= 1.125 KNM [Bending moment Diagnam]

*Subscript Clarification: V_A indicates shear force at node A.

MA indicates moment at node A.

M_Cl indicates moment at just left side of node C.

M_Cr indicates moment at just right side of node C.

Thank you.