Need Help – Will Rate
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Question “Need Help – Will Rate”
The truss is made of three A-36 steel members, each having across-sectional area of 400 mm2 . Determine the horizontal displacement of the roller C when P=8kN
Answer
Draw the body diagram for the truss.
Find the sum of all moments from A to zero.
here is the vertical reaction to C.
Find the horizontal force sum to zero.
here is the horizontal reaction to C.
Find the vertical force sum to zero.
here is the vertical reaction to A.
Substitute
for
to get
Draw the free body diagram for the node .
Find the vertical force sum to zero.
represents the force within the member BC.
Substitute HTMLMediaTag18 with .
Find the horizontal force sum to zero.
here is the force within the member AC.
Substitute HTMLMediaTag23 with .
Calculate horizontal displacement
C
.
refers to the length of the AC member,
refers to the cross-sectional area and HTMLMediaTag29 the modulus of elasticity of the rod.
Substitute
to
,
to
and
to
.
The horizontal displacement of is
.
Conclusion
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