Question
Download Solution PDFA beam of span 5 m, fixed at A and B, carries a point load of 50 kN at 2 m from 'A'. The fixed end moments at the supports 'A' and 'B', respectively, are;
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The FEM’s when a beam is subjected to point load and clear loading such as uDL is given below:
Calculation:
Given:
a = 2m
b = 3m
L = a + b = 5m
P = 50 kN
\(M_{AB}^F = - \frac{{P{b^2}a}}{{{L^2}}} = - \frac{{50\; \times\; {{\left( 3 \right)}^2}\; \times \;2}}{{{{\left( 5 \right)}^2}}} = - 36\;kNm\;\left( \uparrow \right)\)
(-ve sign means that \(M_{AB}^F\) is in Anticlockwises
\(M_{AB}^F = + \frac{{P{a^2}b}}{{{L^2}}} = \frac{{50\; \times \;{{\left( 2 \right)}^2}\;\times\; 3}}{{{{\left( 5 \right)}^2}}} = + 24\;kN\;M\left( \downarrow \right)\)
Last updated on May 28, 2025
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