Figure 1 below shows the bronze and galvani pipes are fastened to rigid supports at ends  A and B and to a rigid plate C at their junction. The bronze pipe is twice as long as the  galvani pipe. Two equal and symmetrically placed loads P act on the plate at C.

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Figure 1 below shows the bronze and galvani pipes are fastened to rigid supports at ends 
A and B and to a rigid plate C at their junction. The bronze pipe is twice as long as the 
galvani pipe. Two equal and symmetrically placed loads P act on the plate at C. 

Galvani pipe
Bronze pipe
2L
B
Figure 1: Pipes with two intermediate loads.
Transcribed Image Text:Galvani pipe Bronze pipe 2L B Figure 1: Pipes with two intermediate loads.
Show that the equation of reaction force at end B is given by
2E,A„P
FB
2E,A9 + EpAp
where E, and Eg are modulus of elasticity for bronze and galvani pipes, respectively;
Ab and Ag are cross-sectional area of bronze and galvani pipes, respectively.
[Note: Use compatibility equation or principle of superposition to solve.]
Transcribed Image Text:Show that the equation of reaction force at end B is given by 2E,A„P FB 2E,A9 + EpAp where E, and Eg are modulus of elasticity for bronze and galvani pipes, respectively; Ab and Ag are cross-sectional area of bronze and galvani pipes, respectively. [Note: Use compatibility equation or principle of superposition to solve.]
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