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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
