### Illustration DescriptionThe image provides a mechanical diagram of a beam under load. It includes a side view and a top view of the beam.#### Side View- The beam is represented as a rectangular object with a cross section described by dimensions \( b \) (base) and \( h \) (height).- A force \( F \) is applied downward at a point \( x_p \) along the beam's length, causing a deflection \( \delta \).- The horizontal axis shows the beam's length with measurements from the wall to the point of force application \( x \) and \( x_p \).#### Top View- This perspective shows the beam's width and the placement of a gauge located at \( x_g \) from the wall.- The gauge is depicted on the beam to measure strain.### Problem StatementThe gauged beam has a length of 0.33 meters, a cross-sectional base of 0.013 meters, and a height of 0.017 meters. It is constructed from aluminum with a modulus of elasticity of 69 GPa and an ultimate strength of 300 MPa. When subjected to load, a strain of 250 microstrains is recorded at the gauge, which is situated 0.18 meters from the wall along the x-direction. The task is to determine the magnitude of the load applied at the end of the beam in Newtons.

Answered: Image /qna-images/answer/6d3db993-e62c-4b90-9408-7cfbb9c275d9.jpg

F Side View Xg gauge Top View The gauged beam of length 0.33 (m) and cross section base 0.013 (m) and height 0.017 (m) shown is made of aluminum with a modulus of elasticity of 69 (GPa) and an ultimate strength of 300 (MPa). A strain of 250 (microstrain) is measured from the gauge which is 0.18 (m) from the wall in the x direction. What is the magnitude of load at of the end of the beam in units of Newtons?

F Side View Xg gauge Top View The gauged beam of length 0.33 (m) and cross section base 0.013 (m) and height 0.017 (m) shown is made of aluminum with a modulus of elasticity of 69 (GPa) and an ultimate strength of 300 (MPa). A strain of 250 (microstrain) is measured from the gauge which is 0.18 (m) from the wall in the x direction. What is the magnitude of load at of the end of the beam in units of Newtons?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

### Illustration Description

The image provides a mechanical diagram of a beam under load. It includes a side view and a top view of the beam.

#### Side View
- The beam is represented as a rectangular object with a cross section described by dimensions \( b \) (base) and \( h \) (height).
- A force \( F \) is applied downward at a point \( x_p \) along the beam's length, causing a deflection \( \delta \).
- The horizontal axis shows the beam's length with measurements from the wall to the point of force application \( x \) and \( x_p \).

#### Top View
- This perspective shows the beam's width and the placement of a gauge located at \( x_g \) from the wall.
- The gauge is depicted on the beam to measure strain.

### Problem Statement

The gauged beam has a length of 0.33 meters, a cross-sectional base of 0.013 meters, and a height of 0.017 meters. It is constructed from aluminum with a modulus of elasticity of 69 GPa and an ultimate strength of 300 MPa. When subjected to load, a strain of 250 microstrains is recorded at the gauge, which is situated 0.18 meters from the wall along the x-direction. The task is to determine the magnitude of the load applied at the end of the beam in Newtons.

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