Question

Determine the shear force and bending moment equation throughout the beam as a function of x. This means that you need to give formulas for V(x) and M(x) along the length of the beam. Sketch and label the shear force and bending moment diagrams. 100 mm 3 kN/m 220 mm 4 m 2 m All thicknesses - 10 mm

Answer 1

sign Conventions For shear force tve -re - For Bending Moment G Ç Sagging Hogging tre -ve

3 kN/m 4m 2m my Bx By Ay I KN + 5KN Shear force Diagram 4 kN.m Mmax =4.1667 KN.m second order Parabola Bending Moment Diagram Location of Zero Shear force Vre-22 AY - 3(2-4) z X-4 = 113 x= 4.3333 From A :Mmax = AY (4.3333) -34. 3333-402 4.1667 KNom

{ Fac = O Bac -0 KN EM @ A=0 3x2 - 6 By 5x2 x(4+1)] By 5 kN T EFY Ay + By = (3x2) = I KNT Shear force Determination V x I-1 + AY tikr orxsum Verot - AY - 3(2-4) 4 msxs 6m Bending Moment Determination Mxit1 Ay a os xa 4 m 2 Ma 2-2 Aya 3(2-4 45xsom 2