Favorite Moment Of Inertia Cheat Sheet

BEAM DIAGRAMS AND FORMULAS Table 3-23 continued Shears Moments and Deflections 13.

Moment of inertia cheat sheet. 2- Measure Length Between Balance Point and Knob. It gives you a deeper understanding of the subject and is great for those who need more than a review for the Statics portion of the FE Civil Mechanical and Other Disciplines exams. Moment of Inertia moment of inertia of a rectangular section.

I base I A y 2 in 4 I Base I Area X dist. Iiint_A y2 dA where A is the area of the shape and y the distance of any point inside area A from a given axis of rotation. Lesson 18 - Intro to Torsion with Example Problem Engineering Mechanics Statics Cheat Sheet.

K inertial constant - depending on the shape of the body Radius of Gyration in Mechanics The Radius of Gyration is the distance from the rotation axis where a concentrated point mass equals the Moment of Inertia of the actual body. PLTW Engineering Formula Sheet 2016 x 120 Reaction max a 2 Moment of Inertia Ixx bh3 12 101 I xx moment of inertia of a rectangular section about x axis x y Truss Analysis 2J M R 1214 J number of joints M number of members R number of reaction forces Beam Formulas Reaction RA RB 0. Moment of Inertia - General Formula.

From centroid to base 2. Physics formulas cheat sheet. Moment of inertia A modified beam area E beam modulus of elasticity for beams having grain direction parallel to their axis E EL and G beam shear modulus for beams with flat-grained vertical faces G GLT and for beams with edge-grained vertical faces G GLR.

Moment of inertia denoted by I measures the extent to which an object resists rotational acceleration about a particular axis and is the rotational analogue to mass which determines an objects resistance to linear accelerationMass moments of inertia have units of dimension ML 2 mass length 2It should not be confused with the second moment of area which is used in beam. Rotational Motion Equilibrium cheat sheet. Elastic property values are given in Tables 51 and 52 Chap.

BEAM FIXED AT ONE END SUPPORTED AT OTHER-CONCENTRATED LOAD AT CENTER. Not a truly complete list of formulas though as some things are missingI cant think of any more formulas for this cheat sheet though. A quantity that represents magnitude size and direction.