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Questions and Answers
Which type of load is concentrated at a single point?
Which type of load is concentrated at a single point?
A cantilever beam is fixed at both ends.
A cantilever beam is fixed at both ends.
False
What is a bending moment?
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.
A beam that is supported at both ends and displays no fixity is called a __________ beam.
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What does a shear force diagram (SFD) represent?
What does a shear force diagram (SFD) represent?
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Define a uniformly varying load.
Define a uniformly varying load.
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Match the following types of beam with their description:
Match the following types of beam with their description:
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If the resultant force to the left of a section is upwards, the shear force at that section is considered __________.
If the resultant force to the left of a section is upwards, the shear force at that section is considered __________.
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What is the shear force at point B of a cantilever beam with a point load at the free end?
What is the shear force at point B of a cantilever beam with a point load at the free end?
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The bending moment at the free end of a cantilever beam with a point load is zero.
The bending moment at the free end of a cantilever beam with a point load is zero.
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What is the bending moment at the fixed end (A) of a cantilever beam with a point load?
What is the bending moment at the fixed end (A) of a cantilever beam with a point load?
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The shear force at any section x under a uniformly distributed load is equal to the __________ acting on the right portion of the section.
The shear force at any section x under a uniformly distributed load is equal to the __________ acting on the right portion of the section.
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What is the bending moment at the fixed end (A) of a cantilever beam with a uniformly distributed load?
What is the bending moment at the fixed end (A) of a cantilever beam with a uniformly distributed load?
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Describe the shape of the shear force diagram for a cantilever beam under a point load.
Describe the shape of the shear force diagram for a cantilever beam under a point load.
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The bending moment varies according to a parabolic law at any section of a cantilever beam under a uniformly distributed load.
The bending moment varies according to a parabolic law at any section of a cantilever beam under a uniformly distributed load.
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Match the points with their corresponding shear force values for the cantilever beam described:
Match the points with their corresponding shear force values for the cantilever beam described:
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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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Description
Test your understanding of shear forces and bending moments in structural engineering. This quiz covers various types of beams and loads, along with diagrams such as the Shear Force Diagram (SFD) and Bending Moment Diagram (BMD). Challenge yourself with key concepts and definitions related to structural mechanics.
