**Problem 11-95:**The beam has the rectangular cross section shown. If \( w = 1 \, \text{kN/m} \), determine the maximum bending stress in the beam. Sketch the stress distribution acting over the cross section.**Diagram Explanation:**The diagram shows a simply supported beam with a uniformly distributed load (\( w \)) of \( 1 \, \text{kN/m} \). The beam rests on supports placed 2 meters from the ends, with the entire beam spanning a total length of 6 meters.- The beam has a rectangular cross-section.- The cross-section dimensions are: - Width: 50 mm - Height: 150 mmThe loading diagram illustrates that the beam is evenly loaded along its length with arrows pointing downwards, indicating the direction of the load.*Instructions*: Calculate the maximum bending stress using the formula for bending stress and draw the stress distribution across the width of the beam, noting that the stress will typically be highest at the outer fibers of the beam.

Given: The value of w is 1 kN/m. Consider the figure,

11-95. The beam has the rectangular cross section shown. If w = 1 kN/m, determine the maximum bending stress in the beam. Sketch the stress distribution acting over the cross section. 50 mm 150 mm -2 m- -2 m- -2 m

11-95. The beam has the rectangular cross section shown. If w = 1 kN/m, determine the maximum bending stress in the beam. Sketch the stress distribution acting over the cross section. 50 mm 150 mm -2 m- -2 m- -2 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

**Problem 11-95:**

The beam has the rectangular cross section shown. If \( w = 1 \, \text{kN/m} \), determine the maximum bending stress in the beam. Sketch the stress distribution acting over the cross section.

**Diagram Explanation:**

The diagram shows a simply supported beam with a uniformly distributed load (\( w \)) of \( 1 \, \text{kN/m} \). The beam rests on supports placed 2 meters from the ends, with the entire beam spanning a total length of 6 meters.

- The beam has a rectangular cross-section.
- The cross-section dimensions are:
- Width: 50 mm
- Height: 150 mm

The loading diagram illustrates that the beam is evenly loaded along its length with arrows pointing downwards, indicating the direction of the load.

*Instructions*: Calculate the maximum bending stress using the formula for bending stress and draw the stress distribution across the width of the beam, noting that the stress will typically be highest at the outer fibers of the beam.

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