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Higher Engineering > Structures and forces > Flashcards

Structures and forces Flashcards

1
Q

Σm =

Sum of moments =

A

0

Zero

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2
Q

Clockwise moments =

A

Anti-Clockwise Moments

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3
Q

Σr =

Sum of reactions =

A

0

Zero

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4
Q

Upward reactions =

A

Downward Reactions

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5
Q

UDL

A

Uniformly distributed load

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6
Q

Single Angled Force

A

must be split into to components
Fv = Vertical Forces
Fh = Horizontal Forces

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7
Q

Moments at Angles

A

Find the vertical component
then continue and sub in
Clockwise moments = Anti-clockwise moments

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8
Q

Resultant Forces

A

Calculate the horizontal and vertical components
the resultant can be found by using Pythagoras
the angle can be found by using SOH CAH TOA

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9
Q

Concurrent Forces

A

Same as calculating Resultant Forces

Calculate the horizontal and vertical components
the resultant can be found by using Pythagoras
the angle can be found by using SOH CAH TOA

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10
Q

Complex Resolutions of a Force

A

If the force is to be calculated then simultaneous equations must be used to work it out.

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11
Q

Hinge Supports

A

Calculate both the horizontal force and vertical force

Calculate the resultant with the Fh and Fv by Pythagoras and then use SOH CAH TOH to find the angle

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12
Q

Roller Supports

A

Calculate the sum of the moments

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13
Q

Loaded Supports

A

Can be calculated the same way as hinge and roller supports

The sum of the moments then being the Tension

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14
Q

Strut = in compression

A

Internal forces = Pushing outwards

External forces = Pushing inwards

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15
Q

Tie = in tension

A

Internal forces = Pushing inwards

External forces = Pushing outwards

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16
Q

Nodal Analysis

A

By drawing a diagram and separating each node it is easier to solve.
A node can be calculated by finding the ΣFv = 0
and ΣFh = 0 to find the next Force

17
Q

Es = ½ Fx

Strain Energy

A 
Es = Strain Energy (J)
F = Force (N)
x = distance of compression or extension (m)

Higher Engineering (13 decks)

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