•Recall, in the 1600s, Robert Hooke
discovered a simple linear relationship between force (F) and displacement (u),
known as Hooke’s
Law:
F = Ku
–
–The constant K represents
structural stiffness.
•A linear structure obeys this linear relationship. A common example is a simple spring:
•Significant classes of structures do not have a linear relationship between force
and displacement.
•Because a plot of F versus u for such
structures is not a
straight line, such structures are said to be nonlinear.
–The stiffness
is no longer a constant, K; it becomes a function of applied load, KT (the tangent stiffness).
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