Structural Beam Deflection Problems

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Questions and Answers

What force is required at the free end to reduce the deflection to 8 mm in kiloNewtons?

  • 28.125
  • 31.225
  • 22.25
  • 18.75 (correct)

If the distributed load per unit length is doubled and the depth of the beam is reduced to half, what would be the deflection at the midspan?

  • 4y
  • 16y (correct)
  • y/4
  • 3y/8

What is the moment at the fixed support of the propped beam given a concentrated clockwise moment of 100 kN-m at the simple end?

  • 100
  • 200 (correct)
  • 150
  • 50

Compute the location (in meters) of the maximum deflection from the fixed end.

<p>4 (C)</p> Signup and view all the answers

What is the slope at the right end of the structure?

<p>4160/3EI (D)</p> Signup and view all the answers

What is the maximum force of member CH in the bridge truss structure?

<p>256.67 kN (A)</p> Signup and view all the answers

What does 'y' represent in the context of beam deflection calculations?

<p>Deflection (D)</p> Signup and view all the answers

Which method involves solving for 'k = I / L' in the context of beam deflection calculations?

<p>Three-Moment Equation (A)</p> Signup and view all the answers

What does 'M' represent in the equation 'M1L1 + 2M2 L1 + L2 + M3 L2 + 6A1a1 + 6A2 b2 = 0'?

<p>Actual moment at element under consideration (D)</p> Signup and view all the answers

In beam deflection calculations, what does 'Ø' represent?

<p>Slope (C)</p> Signup and view all the answers

What is 'E' in the context of beam deflection calculations?

<p>Modulus of elasticity (B)</p> Signup and view all the answers

What does 'd = S SuL AE' represent in beam deflection calculations?

<p>Beam deflection equation (C)</p> Signup and view all the answers

What is the Distribution Factor (DF) when the fixed end support is involved?

<p>DF = 0 (C)</p> Signup and view all the answers

How can you find the moment at the fixed end for any loading condition?

<p>Integration (D)</p> Signup and view all the answers

In beam deflection calculations, what does COM stand for?

<p>Center of Moments (A)</p> Signup and view all the answers

What is the main assumption in the Cantilever Method for beam deflection calculations?

<p>Point of inflection at the midspan of each girder (B)</p> Signup and view all the answers

Which method involves solving for fixed end moments using Balance of Moments?

<p>Approximate Analysis of Structures (C)</p> Signup and view all the answers

What does the slope (Ø) represent in beam deflection calculations?

<p>Deflection rate (D)</p> Signup and view all the answers

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