Can somebody express this in terms of q,E,I,L,P.
d^2v / dx^2 = -P(l-x)-((q*(l-x)^2)/2) / (E*I)
To express the equation in terms of q, E, I, L, and P, we can start by breaking down the equation and rearranging the terms step by step.
The given equation is:
d^2v/dx^2 = -P(l - x) - (q(l - x)^2)/2 / (E*I)
Step 1: Simplify the denominator by multiplying E and I together.
d^2v/dx^2 = -P(l - x) - (q(l - x)^2) / (2E * I)
Step 2: Distribute the -P to both terms inside the parentheses.
d^2v/dx^2 = -Pl + Px - (q(l - x)^2) / (2E * I)
Step 3: Expand the squared term (l - x)^2.
d^2v/dx^2 = -Pl + Px - (q(l^2 - 2lx + x^2)) / (2E * I)
Step 4: Distribute the -q to each term inside the parentheses.
d^2v/dx^2 = -Pl + Px - (ql^2 - 2qlx + qx^2) / (2E * I)
Step 5: Combine like terms.
d^2v/dx^2 = (Px - 2qlx + qx^2 - Pl + ql^2) / (2E * I)
Therefore, the given equation expressed in terms of q, E, I, L, and P is:
d^2v/dx^2 = (Px - 2qlx + qx^2 - Pl + ql^2) / (2E * I)