(a) Calculate the shear equation V (x) and the moment equation M(x) as a function of the length L and the two forces f1, f2 (Hint: Find the equivalent force and moment that f1 exerts on the structure) (b) Check your results from part (a), by verifying the following: - V(x) = M(x) - The shear equation V (x) and the moment equation M(x) satisfy the boundary conditions at the pivot (x = 0), and the free end condition at x = 4L. By boundary condition we mean that the shear force at the end points needs to be equal to the reaction force (left) and the applied force f2 (right). Similarly, the bending moment should equal zero at the ends (pivot can not support a moment and the free end can not support a moment) (c) Plot the shear equation V (x) and the moment equation M(x)) using f₁ = 1[N], f₂ = 2*f₁, and L = 1[m],

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The beam in the figure below is supported by a pivot (left) and roller (right).
L
L
L
L
f₁
(a) Calculate the shear equation V (x) and the moment equation M(x) as a function of the length
L and the two forces f1, f2
(Hint: Find the equivalent force and moment that f1 exerts on the structure)
(b) Check your results from part (a), by verifying the following:
- V(x) = M(x)
The shear equation V (x) and the moment equation M(x) satisfy the boundary
conditions at the pivot (x = 0), and the free end condition at x = 4L. By boundary condition we
mean that the shear force at the end points needs to be equal to the reaction force (left) and the
applied force f2 (right). Similarly, the bending moment should equal zero at the ends (pivot can
not support a moment and the free end can not support a moment)
(c) Plot the shear equation V (x) and the moment equation M(x))
using f₁ = 1[N], f₂ = 2*f₁, and L= = 1[m],
Transcribed Image Text:The beam in the figure below is supported by a pivot (left) and roller (right). L L L L f₁ (a) Calculate the shear equation V (x) and the moment equation M(x) as a function of the length L and the two forces f1, f2 (Hint: Find the equivalent force and moment that f1 exerts on the structure) (b) Check your results from part (a), by verifying the following: - V(x) = M(x) The shear equation V (x) and the moment equation M(x) satisfy the boundary conditions at the pivot (x = 0), and the free end condition at x = 4L. By boundary condition we mean that the shear force at the end points needs to be equal to the reaction force (left) and the applied force f2 (right). Similarly, the bending moment should equal zero at the ends (pivot can not support a moment and the free end can not support a moment) (c) Plot the shear equation V (x) and the moment equation M(x)) using f₁ = 1[N], f₂ = 2*f₁, and L= = 1[m],
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