Math Problem Statement

11th solution

A simply supported beam AB of 6 m span is subjected to loading as shown in Fig. Find the support reactions at A and B.

Solution

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For question 11, solving for the support reactions at A and B of the simply supported beam requires the following steps:

  1. Identify the beam loading:

    • Point loads and distributed loads are given. A total uniform load (2 kN/m) is applied over a length of 3 m.
  2. Apply equilibrium equations:

    • Sum of vertical forces = 0: ΣFy=0\Sigma F_y = 0
    • Sum of moments about one support = 0: ΣM=0\Sigma M = 0

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Math Problem Analysis

Mathematical Concepts

Statics
Equilibrium of Forces
Support Reactions in Beams

Formulas

Sum of vertical forces (ΣFy = 0)
Sum of moments (ΣM = 0)

Theorems

Equilibrium Theorem
Principle of Moments

Suitable Grade Level

Grades 11-12 or Undergraduate Engineering