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Can somebody express this in terms of q,E,I,L,P.
d^2v / dx^2 = -(((P/L)*(l-x)^2)/2) / (E*I)
looks like it already is, except for the q part.
I = dq/dt
oh yeah - I see an x hiding in there.
-(((P/L)*(l-x)^2)/2) / (E*I)
= -(PE/2IL)(1-x)^2
so, call all that junk k. Then you have
d^2/dx^2 = k(1-x)^2
dv/dx = -k/3 (1-x)^3 + c1
v = k/12 (1-x)^4 + c1*x + c2
Not sure what else you want to do with this.
I don't understand what you did ;>
I need v= .... but in answer I can use only q,E,I,L,P sa I have to remove x from this equation.
To express the given equation in terms of q, E, I, L, and P, we need to understand the definitions and relationships of the variables involved.
Let's break down the given equation and rewrite it step by step:
d^2v / dx^2 = -(((P/L)*(l-x)^2)/2) / (E*I)
Here are the variables used in the equation:
- v represents the vertical deflection of a beam.
- x represents the displacement along the length of the beam.
- d^2v / dx^2 denotes the second derivative of v with respect to x, which represents the curvature of the beam.
- P is the applied load on the beam.
- L is the length of the beam.
- E is the Young's modulus, which measures the stiffness of the material.
- I is the moment of inertia of the beam cross-section, which determines its resistance to bending.
To express the equation in terms of q, we need to introduce or transform variables as necessary. However, the equation does not explicitly involve the variable q. If q is a factor in the problem statement, please provide more information so that we can include it in the equation.