Question

Po = sokN q=80kN/m A 4 m long beam is subjected to a concentrated force Po = 50 kN, a concentrated couple, Mo = 100 kN, and a triangularly distributed load starting at qo = 80 kN/m as shown. X А. B A Mo = 100km (a) Find the shear, V(x) and moment M(x) as functions of x. (b) Construct accurate shear and moment diagrams. (c) Calculate the location Xmax of the maximum moment and its absolute magnitude Mmax. 1m st som IM T

Answer 1

p=50 kn %= 80 kN/m Cabana YM = 100 kN-m X Joo RA *Im te х @ for sheare force and moment frost calculate the Reaton forces. EMA = {fori ) + (80 29) + 100 -(x280x1)(3+1) =0 RB =41,67 kN Efy =0 ; RA + • 64 = 50 +(8x Roxi ) RA = 18:35 kg i fos O< X< V(x) = 4833 M(x) = 48.33n for t<x<a V(x) = 48.35-50 = 167 M(x) = 48.338-50(x-2)

for 2 && <3 Vex ) = 48.33-50 + 41.67 V(x) = 40 KN Mex) = 4833x - 50(x-1) +9167(X-9 bo zkak 4. Vent 40 Hxt=(4=*** 48024) to 35%<4 : V(X) = (4-X)x bu x Box (4-x) V(X) = 40(4-? Mex) = à (8)eux* ( MCX )= 4064-733 3 48.33 KN SFID HOKN A sio 1.67KN k-m-k-mº|m\-| |

8.M.D. 86-677kNims 48:33(kw.my 46.66 (kum) А B 13:34 ศ) Jm → im im 6C seen the Max. Moment is at from B.MiD. it can seen X = 3 m ( from side A) and M max 86'67 kW-m) max