M12.1: The Amazing Stress Camera
Discovery example
Illustrates the reason for stress transformations.
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.
M12.3: Sign, Sign, Everywhere a Sign
Game
Game focused on the correct sign conventions needed for the stress transformation equations.
M12.4: Sketching Stress Transformation Results
Learning Tool
Constructing appropriate sketches showing orientation of principal and maximum shear stresses.
M12.5: Stress Component Terminology
Theory | Concept Checkpoints
Terminology and sign conventions used in stress transformations.
M12.6: Derivation of Stress Transform Equations
Theory
Derivation of stress transformation equations based on equilibrium considerations.
M12.7: Stresses on a Specified Plane
Example
Determine normal and shear stress acting on a specified plane.
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.
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.
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.
M12.13: Absolute Maximum Shear Stress
Example | Try one
Investigate three-dimensional stress state at a point.
:
Learning Tool
Constructing appropriate sketches showing orientation of principal and maximum shear stresses.
M12.15: Deriving Equations for Mohr's Circle
Theory
Deriving the Mohr's circle equations from the stress transformation equations.
M12.16: Drawing Mohr's Circle for Plane Stress
Theory
Step-by-step guide to constructing Mohr's circle for plane stress.
M12.17: Principal Stresses Using Mohr's Circle
Theory
How to determine principal stresses using Mohr's circle for plane stress.
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.
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.