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What is the formula for the moment of inertia (I) of a rectangular beam section?

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Question: What is the formula for the moment of inertia (I) of a rectangular beam section?

Options:

  1. bh^3/12
  2. bh^2/12
  3. b^3h/12
  4. b^2h/12

Correct Answer: bh^3/12

Solution:

The moment of inertia (I) for a rectangular beam section is given by I = bh^3/12, where b is the base and h is the height.

What is the formula for the moment of inertia (I) of a rectangular beam section?

Practice Questions

Q1
What is the formula for the moment of inertia (I) of a rectangular beam section?
  1. bh^3/12
  2. bh^2/12
  3. b^3h/12
  4. b^2h/12

Questions & Step-by-Step Solutions

What is the formula for the moment of inertia (I) of a rectangular beam section?
  • Step 1: Identify the shape of the beam section. In this case, it is a rectangle.
  • Step 2: Determine the dimensions of the rectangle. You need to know the base (b) and the height (h) of the rectangle.
  • Step 3: Understand the formula for the moment of inertia. The formula is I = (b * h^3) / 12.
  • Step 4: Plug in the values of the base (b) and height (h) into the formula.
  • Step 5: Calculate h^3 (height raised to the power of 3).
  • Step 6: Multiply the base (b) by h^3.
  • Step 7: Divide the result by 12 to find the moment of inertia (I).
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