Shear Force & Bending Moment Quiz

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Questions and Answers

Which type of load is concentrated at a single point?

  • Concentrated or Point Load (correct)
  • Uniformly Varying Load (UVL)
  • Distributed Load
  • Uniformly Distributed Load (UDL)

A cantilever beam is fixed at both ends.

False (B)

What is a bending moment?

The algebraic sum of the moments of all the forces acting to the right or left side of a beam section.

A beam that is supported at both ends and displays no fixity is called a __________ beam.

<p>simply supported</p> Signup and view all the answers

What does a shear force diagram (SFD) represent?

<p>The variation of shear force along the length of the beam. (C)</p> Signup and view all the answers

Define a uniformly varying load.

<p>A load that varies from point to point along the beam.</p> Signup and view all the answers

Match the following types of beam with their description:

<p>Cantilever beam = Fixed at one end and free at the other Simply supported beam = Supported or resting freely at both ends Fixed beam = Fixed or built into walls at both ends Continuous beam = Provided with more than two supports</p> Signup and view all the answers

If the resultant force to the left of a section is upwards, the shear force at that section is considered __________.

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

What is the shear force at point B of a cantilever beam with a point load at the free end?

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

The bending moment at the free end of a cantilever beam with a point load is zero.

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

What is the bending moment at the fixed end (A) of a cantilever beam with a point load?

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

The shear force at any section x under a uniformly distributed load is equal to the __________ acting on the right portion of the section.

<p>resultant force</p> Signup and view all the answers

What is the bending moment at the fixed end (A) of a cantilever beam with a uniformly distributed load?

<p>WL^2/2 (D)</p> Signup and view all the answers

Describe the shape of the shear force diagram for a cantilever beam under a point load.

<p>A straight line diagram.</p> Signup and view all the answers

The bending moment varies according to a parabolic law at any section of a cantilever beam under a uniformly distributed load.

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

Match the points with their corresponding shear force values for the cantilever beam described:

<p>Point A = 1600N Point B = 800N Point C = 1300N Point D = 0N</p> Signup and view all the answers

Flashcards

What is a beam?

A horizontal structural member that supports loads acting perpendicular to its length.

What is a column?

A vertical structural member that supports loads acting axially along its length.

Define shear force.

The algebraic sum of forces acting vertically on one side of a beam section.

Define bending moment.

The algebraic sum of moments caused by all the forces acting on one side of a beam section.

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What is a shear force diagram (SFD)?

A visual representation of how the shear force changes along the length of a beam.

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What is a bending moment diagram (BMD)?

A visual representation of how the bending moment changes along the length of a beam.

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What is a concentrated or point load?

A load that acts at a single point on a beam, concentrated over a small area.

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What is a uniformly distributed load (UDL)?

A load spread evenly across the entire length of a beam, causing constant force per unit length.

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Shear Force

The total force acting on a section of the beam, perpendicular to the beam's axis. It's the sum of all vertical forces acting on the right portion of the selected section.

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Bending Moment

The moment of all forces acting on a section of the beam, causing it to bend. It's determined by multiplying the force by its distance from the point where the moment is being calculated.

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Shear Force Diagram (SFD)

A diagram that illustrates the variation of shear forces along the length of the beam.

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Bending Moment Diagram (BMD)

A diagram that illustrates the variation of bending moments along the length of the beam.

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Convention for Shear Force Diagram

In a shear force diagram, positive values are plotted above the base line, and negative values are plotted below the base line.

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Convention for Bending Moment Diagram

In a bending moment diagram, positive values are plotted above the base line, and negative values are plotted below the baseline.

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Cantilever Beam

A beam that is fixed at one end and free at the other. It's commonly used in structures like balconies or cantilevered roofs.

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Point Load

A load that is applied at a single point on the beam. It's considered a concentrated force.

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Study Notes

Shear Force & Bending Moment

  • Beam: A horizontal structural member
  • Column: A vertical structural member
  • Parallel Loads: Forces acting along the same direction on a column, passing through the axis of the column
  • Shear Force: The algebraic sum of the vertical forces acting on either side of a section of a beam
  • Bending Moment: The algebraic sum of the moments of all forces acting on either side of a section of a beam
  • SFD (Shear Force Diagram): A diagram showing the variation of shear force along the length of a beam
  • BMD (Bending Moment Diagram): A diagram showing the variation of bending moment along the length of a beam

Types of Beams

  • Cantilever Beam: Fixed at one end and free at the other
  • Simply Supported Beam: Supported at both ends
  • Over-hanging Beam: A beam that extends beyond the supports
  • Fixed Beam: Fixed at both ends
  • Continuous Beam: Supported on more than two supports

Types of Loads

  • Concentrated Load (Point Load): A load that acts at a specific point, considered to act over a small area
  • Uniformly Distributed Load (UDL): A load spread uniformly over a beam
  • Uniformly Varying Load (UVL): A load that varies uniformly from one end to the other end of the beam.

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