Materials (UNFINISHED) Flashcards
Density =
Mass / volume
Density
Mass per unit volume
Volume of a sphere
4/3 pi x r^3
Volume of a cylinder
pi x r^2 x l
Hooke’s Law
The extension of the material is directly proportional to the applied force(load) up to the limit of proportionality
Hooke’s Law equation
Force = Spring constant x Extension
Spring constant
Measures the stiffness of a material. The larger the spring constant, the stiffer the material
What does a material obeying Hooke’s Law look like on a force-extension graph
Straight line through the origin
Limit of proportionality
The point beyond which Hooke’s law is no longer true when stretching a material. The extension is no longer proportional to the applied force
What does the limit of proportionality look like on a graph
Where the line starts to curve (flatten out)
Elastic limit
The maximum amount a material can be stretched and still return to its original length (above which the material will no longer be elastic)
Where on the force-extension graph is the elastic limit found
After the limit of proportionality
What is the gradient of a force-extension graph, with force on the y-axis and extension on the x-axis
The spring constant
Tensile forces
Forces which stretch the object
Tensile stress
The force exerted per unit cross-sectional area of a material
Tensile stress (sigma) =
Force applied / cross-sectional area
Ultimate tensile stress
Maximum force per original cross-sectional area a wire is able to support until it breaks
Units for tensile stress
Pa
Tensile strain
Extension per unit length
Tensile strain =
Change in length / Original length
Why does strain have no units
Because it is a ratio of lengths