FE Exam Formulas Ch. 4 Flashcards by Unknown Unknown

Purpose and Variables of…

Single Force Vector Notation

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

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Purpose and Variables of…

Multiple Force Vector Notation

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Direction of Resultant Force with respect to x-axis

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Purpose and Variables of…

Three-Dimensional Vector Form of Force

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Purpose and Variables of…

R= resultant 3D vector magnitude

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Purpose and Variables of…

Component Force in 3D Direction when Geometry is Known

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Purpose and Variables of…

Moment Formula

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

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Purpose and Variables of…

Magnitude of Moment

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Purpose and Variables of…

Moment/Moment Arm, Formula

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Purpose and Variables of…

Moment Components with Known Geometry

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Purpose and Variables of…

Equilibrium Requirement Net Force

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Purpose and Variables of…

Equilibrium Requirement Net Moment

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Purpose and Variables of…

Moment from Origin when Comparing Two Systems

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Purpose and Variables of…

Forces when Comparing Two Systems

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Purpose and Variables of…

Moment and Force Equations for Couple

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Purpose and Variables of…

Trigonometry of Resultant Vectors

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Purpose and Variables of…

Trigonometry of Resultant Vectors

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Trigonometry of Resultant Vectors

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Purpose and Variables of…

Pythagorean Theorem to Find Resultant Vector

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Angle of Force using Force Components

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Adding Vector Components

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Resultant Force of Force Components

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Vector Angle from Both Axis

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Pythagorean Theorem of 3D vectors

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

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

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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)

Purpose of...

Equilibrium of Rigid Bodies

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Force Formula F=force m=mass a=acceleration

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Moment Formula for Rigid Bodies M=moment I=the mass moment of inertia alpha=rotational acceleration

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Determining Statically Determinate Trusses

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Equilibrium Equations for Solving Force

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Equilibrium Equations for Solving Force

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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

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

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Horizontal Location of Centroid x=horizontal value A=area

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Centroid Location (xc,xy) May=first area moment of y A=area an=particle's area

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Centroid Location (xc,xy) Max=first area moment of x A=area an=particle's area

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

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

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

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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

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Definition of Friction Force Ff=friction force mus=static friction coefficient N=normal force between surfaces

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Maximum Value of Friction Ffmax=max frictional force mus=static friction coefficient N=normal force between surfaces

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Magnitude of Normal Force FN=net force m=mass g=gravity N=normal force

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

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