+3 votes
in Mathematics by kratos

Find the axial forces in the members CE, DE, CD and BD of the truss shown in fig,

1 Answer

+3 votes
by kratos
 
Best answer

STEP–1:

First draw a section line which cut the member CE, CD and BD as shown in fig(a) Consider RHS portion of the truss as shown in fig(b). Here Member AB = BC = CD = BE

∑ME = 0

{Moment of force TCE, 1KN is zero}

TCD x ED + TDB cos 45 x ED = 0

TCD = TDB cos 45 TCD = – 1KN

TCD = 1KN (Tensile)

Taking moment about point B

∑MB = 0

{Moment of force TDB, is zero}

– TCD x CB + (1 + TCE cos 45) x CD – TCE sin 45 x (ED + CB) = 0

CB = CD = ED

– 1 + 1 + TCE cos 45 – 2 TCE sin 45 = 0

TCE = 0.

STEP–2:

Draw another section line which cut the member CE and ED Select RHS portion of the truss; There are only two forces on the RHS portion Taking moment about point C We get

TED = 0.

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