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Para la viga simple de la figura. Calcular la pendiente en A y la flecha máxima. EI es constante:

The image shows a simply supported beam with a central point load of 600 kg applied at the center (C), with the distances from the supports (A and B) to the load being equal (4.5 m each). 

To calculate the slope (or **pendiente**) at point A and the maximum deflection (or **flecha máxima**) of the beam, we use formulas derived from beam theory under bending. Since \( EI \) (modulus of elasticity multiplied by the moment of inertia) is constant, we can apply these formulas for a beam with a central load.

### Step 1: Convert the Load to Newtons
Given that the load is 600 kg, we convert it to Newtons:
\[
W = 600 \, \text{kg} \times 9.81 \, \text{m/s}^2 = 5886 \, \text{N}
\]

### Step 2: Use Deflection and Slope Formulas for a Central Load
For a simply supported beam with a central load \( P \), the slope at the ends (A or B) and the maximum deflection occur at the midpoint. The formulas for these are:

- **Slope at A (or B):**
\[
\theta_A = \frac{PL^2}{16EI}
\]
- **Maximum deflection (at C):**
\[
\delta_{\text{max}} = \frac{PL^3}{48EI}
\]
Where:
- \( P \) is the central load (5886 N),
- \( L \) is the length of the beam (9 m total, 4.5 m on each side),
- \( EI \) is the flexural rigidity (constant).

### Step 

Learn how to calculate the slope at point A and the maximum deflection of a simply supported beam under a central load of 600 kg. This problem applies beam deflection formulas for central loads, suitable for engineering students.

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