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M12.1: The Amazing Stress Camera

 Discovery example
Illustrates the reason for stress transformations.
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M12.2: Correct Angle for Stress Transformations

 Theory | Concept Checkpoints
Easy method for finding the proper value of tau for use in the stress transformation equations.
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M12.3: Sign, Sign, Everywhere a Sign

 Game
Game focused on the correct sign conventions needed for the stress transformation equations.
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M12.4: Sketching Stress Transformation Results

 Learning Tool
Constructing appropriate sketches showing orientation of principal and maximum shear stresses.
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M12.5: Stress Component Terminology

 Theory | Concept Checkpoints
Terminology and sign conventions used in stress transformations.
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M12.6: Derivation of Stress Transform Equations

 Theory
Derivation of stress transformation equations based on equilibrium considerations.
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M12.7: Stresses on a Specified Plane

 Example
Determine normal and shear stress acting on a specified plane.
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M12.8: Wood Grain Stresses

 Example
Determine normal and shear stress acting on a specified plane.
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M12.9: Stress Transformation Equation Learning Tool

 Learning Tool
Illustrates the correct usage of the stress transformation equations in determining stresses acting on a specified plane, principal stresses, and the maximum in-plane shear stress state for stress values specified by the user.
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M12.10: Coach Mohr's Circle of Stress

 Theory | Interactive example | Learning Tool
Learn to construct and use Mohr's circle to determine principal stresses including the proper orientation of the principal stress planes.
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M12.11: Mohr's Circle Game

 Game
Recognize correctly constructed Mohr's circles.
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M12.12: Mohr's Circle Game

 Game
Given a Mohr's circle, recognize the corresponding stress element for the prinicipal stress state and the maximum in-plane shear stress state.
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M12.13: Absolute Maximum Shear Stress

 Example | Try one
Investigate three-dimensional stress state at a point.
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 Learning Tool
Constructing appropriate sketches showing orientation of principal and maximum shear stresses.
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M12.15: Deriving Equations for Mohr's Circle

 Theory
Deriving the Mohr's circle equations from the stress transformation equations.
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M12.16: Drawing Mohr's Circle for Plane Stress

 Theory
Step-by-step guide to constructing Mohr's circle for plane stress.
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M12.17: Principal Stresses Using Mohr's Circle

 Theory
How to determine principal stresses using Mohr's circle for plane stress.
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M12.18: Max Shear Stress Using Mohr's Circle

 Theory
How to determine the maximum in-plane shear stress state using Mohr's circle for plane stress.
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M12.19: Mohr's Circle Learning Tool

 Learning Tool
Illustrates the proper usage of Mohr's circle to determine stresses acting on a specified plane, principal stresses, and the maximum in-plane shear stress state for values specified by the user. Detailed "how-to" instructions.