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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
Homework Answers
Draw the free body diagram of the truss.
Equate the sum of moments about A to zero.
Here, 
is the vertical reaction at C.
Substitute 
for 
.
Equate the sum of horizontal forces to zero.
Here, 
is the horizontal reaction at C.
Equate the sum of vertical forces to zero.
Here, 
is the vertical reaction at A.
Substitute 
for 
and 
for 
.
Draw the free body diagram of the node C.
Equate the sum of vertical forces to zero.
Here, 
is the force in the member BC.
Substitute 
for 
.
Equate the sum of horizontal forces to zero.
Here, 
is the force in the member AC.
Substitute 
for 
.
Calculate the horizontal displacement of C.
Here, 
is the length of the member AC, 
is the cross-sectional area of the rod, and 
is modulus of elasticity of the rod.
Substitute 
for 
, 
for 
, 
for 
, and 
for 
.
Therefore, the horizontal displacement of C is 
.
The truss shown in the figure is constructed from three aluminum alloy members, each having a...
The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of A 800 mm2 and an elastic modulus of E 70 GPa. Assume that a 4.0 m, b 10.5 m, and c 5.0 m. Calculate the horizontal displacement of roller Bwhen the truss supports a load of P 14 kN B X a
The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of...
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The truss is constructed from three aluminum alloy members, each
having a cross-sectional area of A = 1350 mm2 and an elastic
modulus of E = 62 GPa. Assume a = 2.8 m, b = 9.0 m, and c = 5.5 m.
If the horizontal displacement of roller B must not exceed 5.0 mm,
calculate the maximum vertical load Pmax that can be supported by
the truss.
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The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of A 800 mm2 and an elastic modulus of E 70 GPa. Assume that a 4.0 m, b 10.5 m, and c 5.0 m. Calculate the horizontal displacement of roller Bwhen the truss supports a load of P 14 kN B X a
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The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of...
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modulus of E = 62 GPa. Assume a = 2.8 m, b = 9.0 m, and c = 5.5 m.
If the horizontal displacement of roller B must not exceed 5.0 mm,
calculate the maximum vertical load Pmax that can be supported by
the truss.
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