Forces Moments and Equilibrium Flashcards by Anthony Royster | Brainscape

Q

What does a Force Mean?

A

Measure of a tendency to cause a body to move in the direction of that force

Defined by its magnitude and direction (vector)

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Q

Name the main 2 forms of applied force in a cantilever beam

A

Point loads (concentrated at 1 point)

Distributed load. (every point of the beam experiences the same force for a set distance)

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Q

What is a moment?

Define the magnitude of a moment.

A

measure of a forces tendency to cause a body to rotate about a specific point or axis

Product of the force and the perpendicular distance between the line of action and the lever arm

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Q

Name the 3 support types in FBD

A

Roller, pinned, Fixed

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Q

What’s the difference between a Pin , Roller and Fixed Connection.

A

Roller only restrains the y displacement caused by the force (or only 1 reaction force)

Pin restrains both the x & y displacement (or only 2 reaction forces)

Fixed restrains x , y displacement and rotation of the beam. (2 forces and 1 moment)

(If a connection restricts a displacement or a rotation, it provides internal force opposite to the external force. )

(If a connection doesnt restrict, it doesnt provide an internal force to oppose the external force)

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Q

What to FBD show?

A

External Forces acting on an isolated body

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

Draw the Isolated FBD

A

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Q

What are the conditions for equilibrium

A

Sum of Reaction and External forces = 0

Sum of Reaction and External moments = 0

Q

Calculate the Magnitudes of the Reactions

A

1) Draw FBD
2) Resolve X , Resolve Y
3) Resolve moment about point
4) Sub in

Q

Calculate the magnitude of the reactions

A

1) Isolate Free Bodies, (Small wheel , Large Wheel & Frame)
2) Draw 3 FBD .
3) Resolve FBD of small wheel to find roller support forces.
4) Resolve FBD of large wheel to find Pin support forces.
5) Resolve FBD of frame to find pin & roller support forces.

Q

What is a statically determinate problem?

What is a Statically Indeterminate Problem

A

Static - In a equilibrium state

We only require to solve equilibrium equation to find reaction of the supports

We require more then just equilibrium to solve for reaction.

Q

What are the reaction forces?

A

Q

What are the reaction forces

A

Q

Prove that the following is Statically Determinate

A

DOI > 0 = Statically Indeterminate

DOI = 0 = Statically determinate

DOI(trusses) = External + Internal Unknowns - 2(number of connections)

Q

Probe that the following is statically determinate

A

DOI > 0 = Statically Indeterminate

DOI = 0 = Statically determinate

DOI (FBD) = (External + Internal Unknowns) - 3(Number of FBD used to split it up)