Determine the vertical displacement of joint C. The length, L, of trusses AC, BC is 1,100 mm. The applied force at joint C, is 7.5 kN. The cross-sectional area of both trusses, A, is 400 mm2. The elastic modulus of truss AC, E1, is 145 GPa. The elastic modulus of truss BC, E2, is 175 GPa.
Determine the vertical displacement of joint C. The length, L, of trusses AC, BC is 1,100 mm. The applied force at joint C, is 7.5 kN. The cross-sectional area of both trusses, A, is 400 mm2. The elastic modulus of truss AC, E1, is 145 GPa. The elastic modulus of truss BC, E2, is 175 GPa.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the vertical displacement of joint C.
The length, L, of trusses AC, BC is 1,100 mm.
The applied force at joint C, is 7.5 kN.
The cross-sectional area of both trusses, A, is 400 mm2.
The elastic modulus of truss AC, E1, is 145 GPa.
The elastic modulus of truss BC, E2, is 175 GPa.
Transcribed Image Text:A
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Step 1: The member forces are required and obtained using equilibrium conditions at a joint
VIEWStep 2: Total vertical displacement at joint c is summation of PKL/AE , where p and k are forces in member.
VIEWStep 3: P is due to point load at c and k is due to unit load at c in vertical direction
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