Determine the stress concentration factor in a 0.2 inch thick flat bar with two symmetric grooves (semi-circular notches) of radius 0.3 inches and width 2.6 inches. Use the graph in Fig. 2. 3.0 Nolched rectangular bar in lension or simple compression. a0 = F/A, where A = dt and is the thickness. Awld =3 2.6 15 2.2 12 K, 1.1 1.8 1.05 14 1.0 0.05 0.10 0.15 0.20 0.25 0.30 rid

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 2**

*For this problem, use the graph below, also given at the end of the notes on stress concentration.*

Determine the stress concentration factor in a 0.2-inch thick flat bar with two symmetric grooves (semi-circular notches) of radius 0.3 inches and width 2.6 inches. Use the graph in Fig. 2.

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### Explanation of the Diagram:

The diagram provided, labeled as Fig. 2, is a graph used to determine the stress concentration factor (\( K_t \)) for a notched rectangular bar under tension or simple compression. The stress concentration factor is used to quantify how much stress is increased due to the presence of notches or grooves.

- **Axes of the Graph:**
  - The x-axis represents the ratio of notch radius to notch width (\( r/d \)).
  - The y-axis represents the stress concentration factor (\( K_t \)), ranging from 1.0 to 3.0.

- **Curves on the Graph:**
  - Several curves are plotted, corresponding to different \( w/d \) ratios (width of the bar over diameter of the notch) with one labeled as \( w/d = 3 \).
  - The curves indicate how \( K_t \) changes based on the ratio \( r/d \).

- **Inset Image:**
  - The inset illustrates a notched rectangular bar with symmetric grooves under tension, showing dimensions and load directions.

- **Equation Provided:**
  - \( \sigma_0 = F/A \), where \( A = dt \) and \( t \) is the thickness.

To solve for the stress concentration factor using your specific dimensions, locate the point on the curve that corresponds to your \( r/d \) value and read off the associated \( K_t \).
Transcribed Image Text:**Problem 2** *For this problem, use the graph below, also given at the end of the notes on stress concentration.* Determine the stress concentration factor in a 0.2-inch thick flat bar with two symmetric grooves (semi-circular notches) of radius 0.3 inches and width 2.6 inches. Use the graph in Fig. 2. --- ### Explanation of the Diagram: The diagram provided, labeled as Fig. 2, is a graph used to determine the stress concentration factor (\( K_t \)) for a notched rectangular bar under tension or simple compression. The stress concentration factor is used to quantify how much stress is increased due to the presence of notches or grooves. - **Axes of the Graph:** - The x-axis represents the ratio of notch radius to notch width (\( r/d \)). - The y-axis represents the stress concentration factor (\( K_t \)), ranging from 1.0 to 3.0. - **Curves on the Graph:** - Several curves are plotted, corresponding to different \( w/d \) ratios (width of the bar over diameter of the notch) with one labeled as \( w/d = 3 \). - The curves indicate how \( K_t \) changes based on the ratio \( r/d \). - **Inset Image:** - The inset illustrates a notched rectangular bar with symmetric grooves under tension, showing dimensions and load directions. - **Equation Provided:** - \( \sigma_0 = F/A \), where \( A = dt \) and \( t \) is the thickness. To solve for the stress concentration factor using your specific dimensions, locate the point on the curve that corresponds to your \( r/d \) value and read off the associated \( K_t \).
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