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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### 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.
Transcribed Image Text:### 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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