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What is the deflection formula for a simply supported beam with a point load at

Practice Questions

Q1
What is the deflection formula for a simply supported beam with a point load at the center?
  1. (P * L^3) / (48 * E * I)
  2. (P * L^3) / (3 * E * I)
  3. (P * L^3) / (12 * E * I)
  4. (P * L^2) / (2 * E * I)

Questions & Step-by-Step Solutions

What is the deflection formula for a simply supported beam with a point load at the center?
  • Step 1: Understand that a simply supported beam is supported at both ends and can bend in the middle.
  • Step 2: Recognize that a point load (P) is a force applied at a single point, in this case, at the center of the beam.
  • Step 3: Identify the length of the beam as L, which is the distance between the two supports.
  • Step 4: Know that E represents the modulus of elasticity, which measures how much the material will deform under stress.
  • Step 5: Understand that I is the moment of inertia, which is a property of the beam's cross-section that affects its stiffness.
  • Step 6: Use the deflection formula: δ = (P * L^3) / (48 * E * I) to calculate the deflection at the center of the beam.
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