I have a problem while solving 1-d tapered bar(cantilever) problem

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date.chinmay
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I have a problem while solving 1-d tapered bar(cantilever) problem with one end fixed and other free with an axial load of 4000 N outwards from the free end.
Area decreases from10sqcm to 5sqcm over a length of 75 cm.

Differential equation is - d/dx(EA du/dx) + P(at x) =0

Boundary Conditions - at x=0 u=0
at x=75 du/dx=0

Please help in finding the equations for u and du/dx

Thank you.
 
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date.chinmay said:
I have a problem while solving 1-d tapered bar(cantilever) problem with one end fixed and other free with an axial load of 4000 N outwards from the free end.
Area decreases from10sqcm to 5sqcm over a length of 75 cm.

Differential equation is - d/dx(EA du/dx) + P(at x) =0

Boundary Conditions - at x=0 u=0
at x=75 du/dx=0

Please help in finding the equations for u and du/dx

Thank you.
 

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