Question
Download Solution PDFAccording to the Principle of Superposition, the total deformation of a body subjected to multiple direct forces is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The Principle of Superposition applies to linear elastic systems and states that:
When a structure is subjected to multiple forces, the total deformation is the algebraic sum of the deformations caused by each individual force acting alone.
Mathematical Representation:
If a bar is subjected to forces on sections of length and cross-sectional areas , and if the material has modulus of elasticity , then:
Here, each term represents the deformation in an individual segment, and the total deformation is their algebraic (not arithmetic or geometric) sum.
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