Question

Determine the reactions at the support of the beam. Shear force and bending moment for the beam are described by V(x)= c0 + c1x + c2x2 and M(x)= k0 + k1x + k2x2 + k3x3, respectively. Calculate the coefficients for the shear force and bending moment equations. Use L = 5.8 m, q = 2.7 N/m, and w = 8.6 N/m for your calculation.

Also, determine

Vertical reaction force at A in N (upwards force is positive, round your result to 1 decimal place)

Reaction moment at A in Nm (clockwise moment is positive, round your result to 1 decimal place)

Location of the maximum shear force in the beam in m (round your result to 1 decimal place)

Maximum shear force in the beam in N (round your result to 1 decimal place)

Answer 1

Shear force coefficients, Co=32.77, C1=-5.65, C2= 1.948

Bending moment coeffients, k0=0, k1=328.07, k2= -158.39, k3=17.56

MAX SF IS AT x= 1.45m from A

MAX BM IS AT x= 4.68m FROM

MAX SF = 28.67m