Math Problem Statement

An inverted T-section is being used as a lintel. The dimensions of the section are shown in Figure 2.3A. It is acting as a two-span continuous beam with a uniformly distributed action applied along both spans as shown in Figure 2.3B. The bending moments have been determined for a UDL of 1 kN/m, and are shown in Figure 2.3B. The centroid (𝑦𝑦�) is located 70.0 mm from the base of the section. Ix has been calculated to be 34.2106 mm4. Iy has been calculated to be 13.0106 mm4.

Solution

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Math Problem Analysis

Mathematical Concepts

Mechanics of Materials
Structural Analysis

Formulas

Bending stress formula
Moment of inertia formula

Theorems

Euler-Bernoulli beam theory

Suitable Grade Level

Advanced Engineering