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a 8 meter simply supported beam is subjected to a uniformly distributed load of 33kn m the support are as follows pinned s

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A 8-meter simply supported beam is subjected to a uniformly distributed load of 33kN/m. The support are as follows: -Pinned Support at Point A(0-meter position) -Roller Support at Point B(8-meter position)

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Answer to a math question A 8-meter simply supported beam is subjected to a uniformly distributed load of 33kN/m. The support are as follows: -Pinned Support at Point A(0-meter position) -Roller Support at Point B(8-meter position)

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1. Calculate the total load from the UDL:

33 \, \text{kN/m} \times 8 \, \text{m} = 264 \, \text{kN}

2. Set up the sum of forces equation:

R_A + R_B = 264 \, \text{kN}

3. Take moments about A to solve for \( R_B \):

8 \cdot R_B = 264 \cdot 4

4. Solve for \( R_B \):

R_B = 132 \, \text{kN}

5. Solve for \( R_A \):

R_A = 264 - 132 = 132 \, \text{kN}

Answer: \( R_A = 132 \, \text{kN} \) and \( R_B = 132 \, \text{kN} \)

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