Question
Download Solution PDFThe influence line for maximum bending moment in a simply supported beam is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Concept:
The influence line for a function (like bending moment) at a specific point on a structure shows how that function varies as a unit load moves across the beam.
For a simply supported beam:
- The influence line for the bending moment at any section is a triangle.
- It is zero at the supports and reaches a maximum at the point of interest.
Mathematically:
For a beam of length \( L \), and a point C at distances \( a \) from the left and \( b \) from the right:
\(Ordinate = \frac{ab}{L}\)
This creates a triangular shape with linear rise and fall on either side of point C.
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