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In this problem, we are asked to calculate the support reactions at points A and B for the beam shown. The beam is simply supported at points A and C, with a point load of 1 ton applied at point B. The given distances are:

- \( AB = 2 \, \text{m} \)
- \( BC = 4 \, \text{m} \)

Let:
- \( V_A \) = Reaction force at point A
- \( V_C \) = Reaction force at point C
- The point load \( P = 1 \, \text{ton} \) is applied at point B, a distance of 2 meters from A.

### Solution Process:

We can solve this using static equilibrium equations.

1. **Sum of vertical forces (\(\Sigma F_y = 0\)):**

   \[
   V_A + V_C = P
   \]
   \[
   V_A + V_C = 1 \, \text{ton} \quad \text{(Equation 1)}
   \]

2. **Taking moments about point A (\(\Sigma M_A = 0\)):**

   The moment at A due to the load at B is \( P \times 2 \, \text{m} \), and the moment at A due to the reaction at C is \( V_C \times 6 \, \text{m} \) (since the total distance from A to C is \( 6 \, \text{m} \)).

   \[
   V_C \times 6 - P \times 2 = 0
   \]
   Substituting \( P = 1 \, \text{ton} \):
   \[
   V_C \times 6 = 2
   \]
   \[
   V_C = \frac{2}{6} = 0.333 \, \text{ton}
   \]

3. **Substitute \( V_C \) into Equation 1:**

   \[
   V_A + 0.333 = 1
   \]
   \[
   V_A = 1 - 0.333 = 0.667 \, \text{ton}
   \]

### Final Answers:
- The reaction at point A, \( V_A = 0.667 \, \text{ton} \)
- The reaction at point C, \( V_C = 0.333 \, \text{ton} \)

Let me know if you need further details or clarifications.

Here are 5 related questions to explore further:

1. How would the reactions change if the load were applied at a different point along the beam?
2. What would be the reactions if the beam had an additional point load at point C?
3. How do we calculate bending moments along the length of the beam in this case?
4. What would happen to the support reactions if the beam's length increased but the load remained at the center?
5. How do different types of supports (hinged vs. roller) affect the calculation of reactions?

**Tip**: Always sum forces and moments to zero in equilibrium problems involving static beams.

Hitunglah reaksi tumpuhan di titik A dan titik B untuk sebuah balok dengan beban titik sebesar 1 ton di tengah dan jarak AB = 2 m, BC = 4 m.

Learn how to calculate the support reactions at points A and C for a simply supported beam with a 1-ton point load at the midpoint. This problem involves using the principles of static equilibrium, including summing forces and moments. Detailed step-by-step solutions included.

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