External Loads

Surface forces

Body Forces

Support reactions

Equilibrium

Normal force, bending moment, shear force, torsional moment

Coplanar loadings

Stress assumptions

Stress unit

State of stress

Stress directions

Prismatic

Homogeneous

Isotropic

Constant normal stress distribuion

Average normal stress equation

Tension vs compression

Maximum average normal stress

Average shear stress equation

Shear stress equilibrium

Average shear special case

Allowable stress equation

Finding allowable stress

Deformation

Normal Strain

Normal Strain equation

Shear Strain

Shear strain equation

Cartesian Normal strain

Cartesian Shear Strain

Cartesian strain summary

Small strain analysis

Strain changing by a function of x

Strain tip

Nominal/engineering stress

nominal/engineering strain

Stress/strain diagram

Elastic behavior

Yielding

Strain Hardening

Necking

Ductile material

Percent elongation formula

Percent reduction in area formula

Brittle materials

Hooke's Law

Elastic recovery

Strain energy

Modulus of Resilience

Modulus of resilience equation

Modulus of toughness

longitudinal and lateral strain

Poisson's Ratio

Shear modulus of elasticity

The shear stress strain diagram

Shear modulus/modulus of elasticity formula

Another strain defiition

Saint-Venant’s principle

Displacement in terms of x

Displacement for constant force, E and area

Displacement for segmented forces, areas or E's

Displacement sign convention

Principle of superposition

Condition for superposition

Compatibility condition

Thermal displacement equation

Stress concentrations

Stress contcentraion factor equation

Stress concentration graphs

Torque

Torision: Shear stress vs max shear stress equation

Torision: Max shear stress equation

Torsion: Shear stress equation

Polar moment: Solid shaft

Polar Moment: Tubular shaft

Power transmission

Power transmission equation

Power Transmission Frequency formula

Shaft design formula

Angle of twist

Angle of twist in terms of x

Angle of twist for a consant cross section

Angle of twist for multiple torques

Sign convention Angle of twist

Note on summing angles of twist

Torsion case: Two fixedsupports at either end of a member

Angle of twist case 2: two materials bound together

Torsion: Stress concentrations

Torsion: Stress concentration graphs

Example of different beam types

Shear and moment diagrams

Beam sign convention

Beam

Complex loadings for determining V and M

More relationships

Bending a straight member: assumption 1

Bending straight member: assumption 2

Bending a straight member: assumption 3

Label of axis (straight member)

Strain for a deformed straight member

Define p and y variables

Relating stress to the maximum stress equation

Flexure formula: Maximum stress

Flexure formula: At a point

Flexure formula condition

Normal Stress at a point

Angle of moment at a single point

Stress concentrations: when you can't use the flexure formula