Question
Download Solution PDFA simply supported beam with a span length of 4 m carries a uniform load of intensity 5 N/m throughout its length. What will the value of the maximum bending moment (in N - m) in the beam be?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The maximum bending moment in a simply supported beam carrying a uniformly distributed load (UDL) occurs at the mid-span and is calculated using the formula:
\[ M_{\text{max}} = \frac{wL^2}{8} \]
where:
w = Load intensity per unit length (N/m)
L = Span length (m)
Given:
- Span length ( L ) = 4 m
- Uniform load intensity ( w ) = 5 N/m
Step 1: Calculate the maximum bending moment
\[ M_{\text{max}} = \frac{wL^2}{8} = \frac{5 \times (4)^2}{8} = \frac{5 \times 16}{8} = \frac{80}{8} = 10 \, \text{N·m} \]
Last updated on Jun 7, 2025
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