A simply supported beam of length 6 m carries a point load of 10 kN at its cente

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Question: A simply supported beam of length 6 m carries a point load of 10 kN at its center. What is the maximum bending moment in the beam?

Options:

Correct Answer: 20 kNm

Solution:

The maximum bending moment for a simply supported beam with a central load is given by M = P*L/4. Here, M = 10 kN * 6 m / 4 = 15 kNm.

A simply supported beam of length 6 m carries a point load of 10 kN at its center. What is the maximum bending moment in the beam?

A simply supported beam of length 6 m carries a point load of 10 kN at its center. What is the maximum bending moment in the beam?

Step 1: Identify the length of the beam. In this case, the length (L) is 6 meters.
Step 2: Identify the point load applied at the center of the beam. Here, the load (P) is 10 kN.
Step 3: Use the formula for maximum bending moment for a simply supported beam with a central load, which is M = P * L / 4.
Step 4: Substitute the values into the formula: M = 10 kN * 6 m / 4.
Step 5: Calculate the result: M = 60 kNm / 4 = 15 kNm.
Step 6: Conclude that the maximum bending moment in the beam is 15 kNm.

Bending Moment – The maximum bending moment in a simply supported beam with a central point load can be calculated using the formula M = P*L/4, where P is the load and L is the length of the beam.
Simply Supported Beam – A beam that is supported at both ends and can freely rotate, allowing for bending under load.
Point Load – A load applied at a single point on the beam, which affects the bending moment and shear force distribution.