+3 votes
in Mathematics by kratos

Draw the shear force diagram of the beam shown in fig,

1 Answer

+2 votes
by kratos
 
Best answer

First find the support reaction, for that

Convert UDL in to point load, Let reaction at C be RCH and RCV, and at point D be RDV.

RV = 0

RCV + RDV = 1 X 3 + 2RCV + RDV = 5KN ...(1)

Taking moment about point C,

3 X 0.5 + 2 X 5 – RDV X 4 = 0

RDV = 2.875KN ...(2)

From equation (1)

RCV = 2.125KN

Calculation for SFD

Here total 4 section line SF1-1 = 1X1 (inclined line)

At X1 = 0

SFA = 0

At X1 = 1; SFC = 1

SF2-2 = 1X2- RCV (inclined line)

At X2 = 1

SFC = –1.125

At X2 = 3

SFE = 0.875

SF3-3 = 3-RCV (Constant line)

At X3 = 3

SFC = 0.875

At X3 = 5

SFD = 0.875

SF4-4 = 3- RCV - RDV (Constant line)

At X4 = 5

SFD = -2 At

X4 = 7

SFB = –2.

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