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At the end of this section you should be able to:
Find area and centroid of 2D shape defined by a function using calculus
Find area/volume and centroid of composite 2D/3D shape using the tabular method
Calculate centroid and area of common shapes
Find the center of mass of non-homogeneous objects
Simplify distributed loading into point load(s) in correct location(s)
Centroids
Centroids
Integration Method
Integration Method
Hibbeler 12e 9.10: Finding Centroid Using Calculus and Vertical Strips
Hibbeler 12e 9.10: Finding Centroid Using Calculus and Vertical Strips
Hibbeler 12e 9.25: Finding Centroid Using Calculus with Varying Top and Bottom of Strips
Hibbeler 12e 9.25: Finding Centroid Using Calculus with Varying Top and Bottom of Strips
Hibbeler 12e 9.18: 2D Equilibrium with Unknown CoM Location
Hibbeler 12e 9.18: 2D Equilibrium with Unknown CoM Location
Tabular Method for Centroids
Tabular Method for Centroids
Hibbeler 12e 9.60: Finding Centroid of Shape with Hole Using Tabular Method
Hibbeler 12e 9.60: Finding Centroid of Shape with Hole Using Tabular Method
Hibbeler 12e 9.59: Finding Centroid of Shape with Cutout Using Tabular Method
Hibbeler 12e 9.59: Finding Centroid of Shape with Cutout Using Tabular Method
Tabular Method for Center of Mass
Tabular Method for Center of Mass
Hibbeler 12e 9.65: Center of Mass of 3D object
Hibbeler 12e 9.65: Center of Mass of 3D object
Distributed Loads
Distributed Loads
Hibbeler 13e 4.145: Uniform- and triangularly-distributed load
Hibbeler 13e 4.145: Uniform- and triangularly-distributed load
Hibbeler 13e 7.18: Triangularly-distributed load on a compound beam
Hibbeler 13e 7.18: Triangularly-distributed load on a compound beam
Hibbeler 12e F4.38: Equilibrium with Uniform- and triangularly-distributed load
Hibbeler 12e F4.38: Equilibrium with Uniform- and triangularly-distributed load
Hibbeler 12e F4.42: Equilibrium with Functionally-Defined Distributed Load
Hibbeler 12e F4.42: Equilibrium with Functionally-Defined Distributed Load
Hibbeler 12e 7.61: Multi-Body Equilibrium with Distributed Load
Hibbeler 12e 7.61: Multi-Body Equilibrium with Distributed Load
Mathematica Code
Mathematica Code
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