Question

For the frame shown, draw the bending moment diagram for each member. 40 kN/m 60 KN E D 80 KN 3 m С 540 kN.m B 3 m A 1.5 m 3 m

Answer 1

Free Body Piagam 's 40 kN/m GOIN р HET & 80 KN RE 3m 540KNM c B 3m A * 1.5m RA 3m + Ety=0 40x3 + 80 RA+RE RA+RE = 200 EM=0 40*3*15 + 80X 4-5 540 BRA 3 RA RA . RE s 200 KN Fao HE 60 KN

Now find the Bending Moment Equation we can for each segment Consicher ; Segment AB Bending Moment M = 0 - 3 1) Segment CB 80 kW M = -80x ht iii) Segment_BD M=540 - 80x1.5 v 30KN M = 420 kNm bbw 1 1540 kom a

iv) Segment ED M cas 40 KNIM E comma 60 KN M 2002 - 40x2 2 200 KN Me 2 - 202 + 200 X Bending Moment Diagram is; 420 kNm 420 kNm D 420 kNm. B 4 120 kNm

The Bending moment diagram is drawn.