Consider the given structure and loading. I) Derive the parametric expression for the horizontal defelection at the free end of the 90o bent cantilever. II) If: P = 500 lb, L = 12 in, h = 5 in, E = 9.8*106 psi, I = 0.1 in; What is the numerical value of the deflection?
Consider the given structure and loading. I) Derive the parametric expression for the horizontal defelection at the free end of the 90o bent cantilever. II) If: P = 500 lb, L = 12 in, h = 5 in, E = 9.8*106 psi, I = 0.1 in; What is the numerical value of the deflection?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider the given structure and loading.
I) Derive the parametric expression for the horizontal defelection at the free end of the 90o bent cantilever.
II) If: P = 500 lb, L = 12 in, h = 5 in, E = 9.8*106 psi, I = 0.1 in; What is the numerical value of the deflection?

Transcribed Image Text:This diagram illustrates a cantilever beam scenario often encountered in structural engineering and physics. The beam is fixed at the left end, labeled "C," and extends horizontally to the right to point "B." A vertical force "P" is applied downward at point "A," which is vertically above point "B." The parameters given are:
- "L" is the horizontal length of the beam from point "C" to point "B."
- "h" is the vertical distance from point "B" to point "A," where the force "P" is applied.
- "a" is the horizontal distance from the line of action of force "P" to point "B."
This setup is a basic representation of a cantilever beam with an offset load, which is useful for understanding moments and shear forces in beams.
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