Question

The downward deflection y (m) of a cantilever beam with a uniform load w (kg/m), as depicted in the figure below, can be computed as, frac{dy}{dx} = frac{w}{24EI}(4x^3 - 12Lx^2 + 12L^2x) where x = distance (m), E = the modulus of elasticity = 2 x 10^11 Pa, I = moment of inertia = 3.25 x 10^-4 m^4, w = 10,000 N/m, and L = length = 4 m. If y = 0 at x = 0, use the first-order forward difference approximation of dy/dx to compute the deflection (y) at the tip of the beam, i.e x = 4 m, with a step size of Delta x = 1 m.

          The downward deflection y (m) of a cantilever beam with a uniform load w (kg/m), as depicted in the figure below, can be computed as,
frac{dy}{dx} = frac{w}{24EI}(4x^3 - 12Lx^2 + 12L^2x)
where x = distance (m), E = the modulus of elasticity = 2 x 10^11 Pa, I = moment of inertia = 3.25 x 10^-4 m^4, w = 10,000 N/m, and L = length = 4 m. If y = 0 at x = 0, use the first-order forward difference approximation of dy/dx to compute the deflection (y) at the tip of the beam, i.e x = 4 m, with a step size of Delta x = 1 m.

$The downward deflection y (m) of a cantilever beam with a uniform load w (kg/m), as depicted in the figure below, can be computed as, fracdydx = fracw24EI(4x^3 - 12Lx^2 + 12L^2x) where x = distance (m), E = the modulus of elasticity = 2 x 10^11 Pa, I = moment of inertia = 3.25 x 10^-4 m^4, w = 10,000 N/m, and L = length = 4 m. If y = 0 at x = 0, use the first-order forward difference approximation of dy/dx to compute the deflection (y) at the tip of the beam, i.e x = 4 m, with a step size of Delta x = 1 m.$

Added by Robert P.

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