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The block is subjected to a force V = 48 kN . What is the resulting deflection Δ?

The block is subjected to a force V = 48 kN . What is the resulting deflection Δ?

Elements Of Electromagnetics
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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The block is subjected to a force V = 48 kN . What is the resulting deflection Δ?

The image depicts a geometric diagram involving a blue-colored right triangle inside a rectangle. The diagram includes the following elements: 1. **Angles:** - One angle, marked with the symbol \( \gamma \), is located at the top left corner of the blue area. - Another angle is noted as \( \frac{\pi}{2} - \gamma \) in the bottom left corner of the blue area. 2. **Shape Details:** - The rectangle is partially filled with a blue right triangle, with one of its vertices on the left side. - The rectangle's right side extends with a dashed outline, suggesting an extension beyond the blue area. - The hypotenuse of the triangle is inside the rectangle and runs diagonally from the top left to a point towards the middle right of the bottom side of the rectangle. This diagram is likely used to demonstrate relationships between angles in a right triangle and their complements.
Transcribed Image Text:The image depicts a geometric diagram involving a blue-colored right triangle inside a rectangle. The diagram includes the following elements: 1. **Angles:** - One angle, marked with the symbol \( \gamma \), is located at the top left corner of the blue area. - Another angle is noted as \( \frac{\pi}{2} - \gamma \) in the bottom left corner of the blue area. 2. **Shape Details:** - The rectangle is partially filled with a blue right triangle, with one of its vertices on the left side. - The rectangle's right side extends with a dashed outline, suggesting an extension beyond the blue area. - The hypotenuse of the triangle is inside the rectangle and runs diagonally from the top left to a point towards the middle right of the bottom side of the rectangle. This diagram is likely used to demonstrate relationships between angles in a right triangle and their complements.
A metal block is part of an industrial motor mount, has dimensions \( d_1 = 3 \, \text{cm} \), \( d_2 = 3.7 \, \text{cm} \), and \( d_3 = 4 \, \text{cm} \), and is made of a material with the shear stress-strain curve shown. Use this block to answer the following questions. Note: the given curve has a shape similar to that for a typical metal, but the curve has been drawn using straight lines, and the yield point has been moved to a higher strain than is typical, to make the graph easier to read. **Diagram Description:** The diagram shows a rectangular metal block with the dimensions \( d_1 \), \( d_2 \), and \( d_3 \) labeled on the edges. It illustrates shear strain with a deformation angle \( \gamma \) and displacement \( \Delta \). **Graph Description:** The graph displays the shear stress \(\tau\) (in MPa) on the vertical axis and shear strain \(\gamma\) on the horizontal axis. The values are as follows: - At \(\gamma = 0.10\), \(\tau \approx 20 \, \text{MPa}\) - At \(\gamma = 0.20\), \(\tau \approx 40 \, \text{MPa}\) (peak) - At \(\gamma = 0.30\), \(\tau \approx 30 \, \text{MPa}\) - At \(\gamma = 0.40\), \(\tau \approx 20 \, \text{MPa}\) The curve peaks at around \(\gamma = 0.20\) and then decreases, representing typical metal behavior modified for clarity in this illustration.
Transcribed Image Text:A metal block is part of an industrial motor mount, has dimensions \( d_1 = 3 \, \text{cm} \), \( d_2 = 3.7 \, \text{cm} \), and \( d_3 = 4 \, \text{cm} \), and is made of a material with the shear stress-strain curve shown. Use this block to answer the following questions. Note: the given curve has a shape similar to that for a typical metal, but the curve has been drawn using straight lines, and the yield point has been moved to a higher strain than is typical, to make the graph easier to read. **Diagram Description:** The diagram shows a rectangular metal block with the dimensions \( d_1 \), \( d_2 \), and \( d_3 \) labeled on the edges. It illustrates shear strain with a deformation angle \( \gamma \) and displacement \( \Delta \). **Graph Description:** The graph displays the shear stress \(\tau\) (in MPa) on the vertical axis and shear strain \(\gamma\) on the horizontal axis. The values are as follows: - At \(\gamma = 0.10\), \(\tau \approx 20 \, \text{MPa}\) - At \(\gamma = 0.20\), \(\tau \approx 40 \, \text{MPa}\) (peak) - At \(\gamma = 0.30\), \(\tau \approx 30 \, \text{MPa}\) - At \(\gamma = 0.40\), \(\tau \approx 20 \, \text{MPa}\) The curve peaks at around \(\gamma = 0.20\) and then decreases, representing typical metal behavior modified for clarity in this illustration.
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