Question

For the beam, as shown below (C: hinge; B: roller): i) Derive the V-Equations and plot V-diagram (indicating the degree of curves) ii) Derive the M-Equations and plot M-diagram (indicating the degree of curves) iii) Give the magnitude of Vmax and indicate the location of Vmax on the beam iv) Give the magnitudes of Mmax and indicate the locations of Mmax on the beam 12 kN 4 kN/m 8 kN.m с А 4 m B m

Answer 1

Ques 12 KN 4 KN/M O BR 8 kN-M A 3 He ㅏ To чм C = 2-reactions He but as there is no Hinge support; one vertical to Vie & other Horizontal horizontal load, so Hc=0 as E Ex=0; B = rolles support -only one reaction that is only vestical He o 4 UN/M 12 KN to 8 KNM T NB VC Taking moment of all for as and reaction about Bie, tolles support and equating it to zere, as rollez support Can't resist moment

MD = -1.875 kNam clearly Me > (in absolute tern) Maximum value of M ire -12 kN-M 8 at occurs af 'C' So, Momax =
Vmax at Point A=12KN

Mmax at point C=12 KN-m