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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 \( a \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2e99635-9351-4a90-90be-f1d1f0c280c7%2Fe28906d2-9578-4d9a-a692-15a4cd8177a9%2F6y098q_processed.png&w=3840&q=75)
Transcribed Image Text:**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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