Problem 2 The simply supported beam supports the triangular...

Problem 2 The simply supported beam supports the triangular distributed loading as shown below. Assume EI is constant. (i) (7 pts) Derive the equation of the elastic beam deflection curve for $0 \le x \le L/2$ only. Hint: Due to symmetry, you need to solve the equation of elastic curve for $0 \le x \le L/2$ only and apply proper boundary conditions for $0 \le x \le L/2$. Look at the sketch of the elastic curve to find the boundary conditions for $0 \le x \le L/2$. (ii) (3 pts) Find the maximum deflection of the beam.

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The simply supported beam supports the triangular distributed loading as shown below. Assume El is constant. Problem 2 (i) (7 pts) Derive the equation of the elastic beam deflection curve for 0 ≤ x ≤ L/2 only. Hint: Due to symmetry, you need to solve the equation of the elastic curve for 0 ≤ x ≤ L/2 only and apply proper boundary conditions for 0 ≤ x ≤ L/2. Look at the sketch of the elastic curve to find the boundary conditions for 0 ≤ x ≤ L/2. (ii) (3 pts) Find the maximum deflection of the beam. A y -X- L/2 Wo Elastic curve L/2 B Problem 2: The simply supported beam supports the triangular distributed loading as shown below. Assume El is constant. (i) (7 pts) Derive the equation of the elastic beam deflection curve for 0 ≤ x ≤ L/2 only. Hint: Due to symmetry, you need to solve the equation of the elastic curve for 0 ≤ x ≤ L/2 only and apply proper boundary conditions for 0 ≤ x ≤ L/2. Look at the sketch of the elastic curve to find the boundary conditions for 0 ≤ x ≤ L/2. (ii) (3 pts) Find the maximum deflection of the beam. A | y -X- L/2 Wo Elastic curve L/2 B

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