Math Problem Statement
The longitudinal axis which characterizes the slope and deflection is known as
elastic curve
rigidity curve
neutral axis
Macaulay’s equations
Solution
The correct term for the longitudinal axis that characterizes the slope and deflection in a beam is the elastic curve.
The elastic curve represents the shape of the deflected beam under a given load. It's a graphical representation of how the beam deforms along its length due to applied forces.
Related Questions:
- What is the significance of the elastic curve in structural analysis?
- How does the neutral axis differ from the elastic curve?
- Can you explain Macaulay’s method and how it applies to beam deflection?
- What factors affect the shape of the elastic curve in a beam?
- How does rigidity influence the deflection of a beam?
Tip: In structural analysis, understanding the elastic curve helps in predicting how beams and other structural elements will behave under various loading conditions.
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Math Problem Analysis
Mathematical Concepts
Structural Analysis
Beam Deflection
Elastic Curve
Formulas
Deflection equation for beams
Slope equation for beams
Theorems
Elastic Curve Theory
Macaulay's Method
Suitable Grade Level
Undergraduate Level (Engineering)