Structural Beam Deflection Problems

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

18.75

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?

16y

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?

200

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

<p>4</p> Signup and view all the answers

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

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

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

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

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

<p>Deflection</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</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</p> Signup and view all the answers

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

<p>Slope</p> Signup and view all the answers

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

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

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

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

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

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

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

<p>Integration</p> Signup and view all the answers

In beam deflection calculations, what does COM stand for?

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

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

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

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

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

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