**Problem Statement:**A horizontal load \( P \) of magnitude 97 kN is applied to the beam shown. Determine the largest distance \( a \) for which the maximum tensile stress in the beam does not exceed 75 MPa.**Diagram Explanation:**The diagram shows a beam fixed at one end with dimensions and loads applied. The beam has a horizontal cross-section of 60 mm width and 20 mm height. The load \( P \) is applied at a point along the beam at a distance \( a \) from the fixed end.- The fixed end of the beam is represented by a tan-colored surface.- The dimensions are marked at 20 mm intervals along both height and length.- The load \( P \) is represented by a red arrow pointing horizontally towards the fixed end.**Question:**The largest distance \( a \) is \(\_\_\_\_\) mm. **Guidance for Students:**To solve this problem, use principles from mechanics of materials, specifically the flexural formula to relate bending stress, moment, and geometry of the beam. Calculate the maximum stress and set it equal to the allowable stress to find the largest distance \( a \).

P=96kNMaximum tensile stress= 75MPaTo FindLargest a

A horizontal load P of magnitude 97 kN is applied to the beam shown. Determine the largest distance a for which the maximum tensile stress in the beam does not exceed 75 MPa. 20 mm 20 mm 20 mm O 60 mm 20 mm The largest distance a is mm.

A horizontal load P of magnitude 97 kN is applied to the beam shown. Determine the largest distance a for which the maximum tensile stress in the beam does not exceed 75 MPa. 20 mm 20 mm 20 mm O 60 mm 20 mm The largest distance a is mm.

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

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

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**Problem Statement:**

A horizontal load \( P \) of magnitude 97 kN is applied to the beam shown. Determine the largest distance \( a \) for which the maximum tensile stress in the beam does not exceed 75 MPa.

**Diagram Explanation:**

The diagram shows a beam fixed at one end with dimensions and loads applied. The beam has a horizontal cross-section of 60 mm width and 20 mm height. The load \( P \) is applied at a point along the beam at a distance \( a \) from the fixed end.

- The fixed end of the beam is represented by a tan-colored surface.
- The dimensions are marked at 20 mm intervals along both height and length.
- The load \( P \) is represented by a red arrow pointing horizontally towards the fixed end.

**Question:**

The largest distance \( a \) is \(\_\_\_\_\) mm.

**Guidance for Students:**

To solve this problem, use principles from mechanics of materials, specifically the flexural formula to relate bending stress, moment, and geometry of the beam. Calculate the maximum stress and set it equal to the allowable stress to find the largest distance \( a \).

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