Question

Given: A simply supported beam is subjected to a triangular line load as shown below. The bending rigidity is $EI_{yy}$. (1) Use the unit load method to determine the vertical deflection at point $x = x_i$, where $x_i$ is constant $0 < x_i < L$ (2) Derive a dimensionless deflection and plot the dimensionless deflection with respect to $x_i / L$

          Given: A simply supported beam is subjected to a triangular line load as shown below.
The bending rigidity is $EI_{yy}$.

(1) Use the unit load method to determine the vertical deflection at point $x = x_i$,
where $x_i$ is constant $0 < x_i < L$

(2) Derive a dimensionless deflection and plot the dimensionless deflection with
respect to $x_i / L$

Given: A simply supported beam is subjected to a triangular line load as shown below.
The bending rigidity is EIyy.

(1) Use the unit load method to determine the vertical deflection at point x = xi,
where xi is constant 0 < xi < L

(2) Derive a dimensionless deflection and plot the dimensionless deflection with
respect to xi / L

Added by Ralph C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sahil Kumar

Step 1

Since the beam is simply supported, the reaction forces at the supports will be equal and opposite. Let's denote the reaction force at each support as R. Show more…

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Given: A simply supported beam is subjected to a triangular line load as shown below. The bending rigidity is E*I. (1) Use the unit load method to determine the vertical deflection at point x = x, where 0 < x < L. (2) Derive a dimensionless deflection and plot the dimensionless deflection with respect to x/L.