FE Exam Formulas Ch. 4 Flashcards by Luke Bockman | Brainscape

Q

Purpose and Variables of…

A

Single Force Vector Notation

F= Vector Force
Fx= horizontal component
Fy= vertical component
i= x direction
j= y direction

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Q

Purpose and Variables of…

A

Multiple Force Vector Notation

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Q

Purpose and Variables of…

A

Direction of Resultant Force with respect to x-axis

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Q

Purpose and Variables of…

A

Three-Dimensional Vector Form of Force

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Q

Purpose and Variables of…

A

R= resultant 3D vector magnitude

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Q

Purpose and Variables of…

A

Component Force in 3D Direction when Geometry is Known

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Q

Purpose and Variables of…

A

Moment Formula

cross product of postion vector (r) and force (F)

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Q

Purpose and Variables of…

A

Magnitude of Moment

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Q

Purpose and Variables of…

A

Moment/Moment Arm, Formula

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Q

Purpose and Variables of…

A

Moment Components with Known Geometry

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Q

Purpose and Variables of…

A

Equilibrium Requirement Net Force

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Q

Purpose and Variables of…

A

Equilibrium Requirement Net Moment

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Q

Purpose and Variables of…

A

Moment from Origin when Comparing Two Systems

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Q

Purpose and Variables of…

A

Forces when Comparing Two Systems

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Q

Purpose and Variables of…

A

Moment and Force Equations for Couple

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Q

Purpose and Variables of…

A

Trigonometry of Resultant Vectors

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Q

Purpose and Variables of…

A

Trigonometry of Resultant Vectors

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Q

Purpose and Variables of…

A

Trigonometry of Resultant Vectors

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Q

Purpose and Variables of…

A

Pythagorean Theorem to Find Resultant Vector

Q

Purpose and Variables of…

A

Angle of Force using Force Components

Q

Purpose of…

A

Adding Vector Components

Q

Purpose and Variables of…

A

Resultant Force of Force Components

Q

Purpose and Variables of…

A

Vector Angle from Both Axis

Q

Purpose and Variables of…

A

Pythagorean Theorem of 3D vectors

Q

Purpose and Variables of…

A

Moment Using Force and Moment Arm

M=Moment
F=Force
d=Moment arm (distance from center of rotation)

Q

Purpose and Variables of…

A

Moment Using Center of Rotation and Force

M equals cross product of position vector from center of rotation (r) and Force (F)

Q

Purpose and Variables of…

A

Finding Moment Arm from Moment, Vector, and Force

M=moment
r=position vector from center of rotation
F=force
d=moment arm (distance from center of rotation)

Q

Purpose of…

A

Equilibrium of Rigid Bodies

Q

Purpose and Variables of…

A

Force Formula

F=force
m=mass
a=acceleration

Q

Purpose and Variables of…

A

Moment Formula for Rigid Bodies

M=moment
I=the mass moment of inertia
alpha=rotational acceleration

Q

Purpose and Variables of…

A

Determining Statically Determinate Trusses

Q

Purpose and Variables of…

A

Equilibrium Equations for Solving Force

Q

Purpose and Variables of…

A

Equilibrium Equations for Solving Force

Q

Purpose and Variables of…

A

Position Vector of Centroid

rc=the position vector or radius to the centroid
mn=mass of particle n
rn=the position vector or radius to particle

Q

Purpose and Variables of…

A

Horizontal Location of Centroid

xc=horizontal location of centroid
an=area of particle
xn=particles x location

Q

Purpose and Variables of…

A

Horizontal Location of Centroid

x=horizontal value
A=area

Q

Purpose and Variables of…

A

Centroid Location (xc,xy)

May=first area moment of y
A=area
an=particle’s area

Q

Purpose and Variables of…

A

Centroid Location (xc,xy)

Max=first area moment of x
A=area
an=particle’s area

Q

Purpose and Variables of…

A

Area Moment of Inertia

Iy=Area moment of inertia about y
Ix=Area moment of inertia about x

Q

Purpose and Variables of…

A

Area Moment of Inertia

Iy=Area moment of inertia about y
Ix=Area moment of inertia about x

Q

Purpose and Variables of…

A

Polar Moment of Inertia

J=polar moment of inertia
Iy=Area moment of inertia about y
Ix=Area moment of inertia about x

Q

Purpose and Variables of…

A

Centroidal Polar Moment of Inertia

J=polar moment of inertia about centroid
Iy=Area moment of inertia about centroid with respect to y
Ix=Area moment of inertia about centroid with respect to x

Q

Purpose and Variables of…

A

Definition of Friction Force

Ff=friction force
mus=static friction coefficient
N=normal force between surfaces

Q

Purpose and Variables of…

A

Maximum Value of Friction

Ffmax=max frictional force
mus=static friction coefficient
N=normal force between surfaces

Q

Purpose and Variables of…

A

Magnitude of Normal Force

FN=net force
m=mass
g=gravity
N=normal force

Q

Purpose and Variables of…

A

Maximum Friction Force

Ff=friction force
mu=friction coefficient
m=mass
g=gravity
N=normal force

Q

Purpose and Variables of…

A

Force in Slope Direction

FS=Force in slope direction
Fa=external action force
mu=friction coefficient
m=mass
g=gravity