stress and strain Flashcards
what is stress
force applied per unit cross sectional area
what is the equation for stress
F/A (force / cross sectional area)
what is strain
relative deformation or change in shape that occurs in a material in response to an external force or load
what is the equation for strain
ΔL/L (change in length / length)
what is the area under the graph
work done (force x extension)
what is young modulus
mechanical property of solid materials that measures the tensile or compressive stiffness when the force is applied lengthwise
what are the significant points on a stress strain graph in order (5 points)
-proportional limit
-elastic limit
-yield point
-ultimate strength
-rupture strength or breaking point
what is the proportional limit
the proportional limit determines the greatest stress that is directly proportional to strain
what is the elastic limit
is the maximum stress or force per unit area within a solid material can change before being permanently deformed
what does the gradient show on a stress and strain graph
the stiffness
how to calculate the equation for young modulus
combine stress and strain ΔL/L and A/L
what is the equation for young modulus
E = fL/AΔL = force x length / cross sectional area x change in length
what is hookes law
F=KΔx where F = force, K is the constant of the spring, and x is the extension
what does an elastic object show on a stress, strain graph
a large area under the graph
what does a stiff object show on a stress, strain graph
very steep gradient over a small distance (area)