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Calculate the stress concentration factor (kt). the small diameter is 0.88 in and the bigger one is 2.64 in and the radius is 0.088 in. Moment is 240 lb - in, and torque is 1800 lb-in. Bending moment is 358.817 psi or 2.4739 Mpa and torsion due torque is 2691 .13 psi or 18.55 Mpa and Von Mises Stress is 32.2246 Mpa. Calculate the new stresses with the Kt value obtained. Use the table that is provide to obtained the KT value.

Calculate the stress concentration factor (kt). the small diameter is 0.88 in and the bigger one is 2.64 in and the radius is 0.088 in. Moment is 240 lb - in, and torque is 1800 lb-in. Bending moment is 358.817 psi or 2.4739 Mpa and torsion due torque is 2691 .13 psi or 18.55 Mpa and Von Mises Stress is 32.2246 Mpa. Calculate the new stresses with the Kt value obtained. Use the table that is provide to obtained the KT value.

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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Calculate the stress concentration factor (kt). the small diameter is 0.88 in and the bigger one is 2.64 in and the radius is 0.088 in. Moment is 240 lb - in, and torque is 1800 lb-in. Bending moment is 358.817 psi or 2.4739 Mpa and torsion due torque is 2691 .13 psi or 18.55 Mpa and Von Mises Stress is 32.2246 Mpa. Calculate the new stresses with the Kt value obtained. Use the table that is provide to obtained the KT value.

### Stress Concentration in Stepped Shafts The images illustrate the concept of stress concentration factors (\(K_t\)) in stepped shafts under different conditions, using graphs and mathematical expressions. Below is a detailed transcription and explanation. #### Graph 1: Stress Concentration Factor \(K_t\) for Stepped Shaft - **X-axis:** Radius-to-diameter ratio (\(r/d\)) - **Y-axis:** Stress concentration factor (\(K_t\)) - **Curves:** - Various curves represent different diameter ratios (\(D/d\)): - \(D/d = 2.0\) - \(D/d = 1.33\) - \(D/d = 1.20\) - \(D/d = 1.09\) - The curves show how the stress concentration factor decreases as the radius-to-diameter ratio increases. - **Equation:** \[ K_t = A \left( \frac{r}{d} \right)^b \] **Table of Constants:** - For different \(D/d\) ratios, constants \(A\) and \(b\) are provided: - \(D/d = 2.0\), \(A = 0.863 31\), \(b = -0.238 65\) - \(D/d = 1.33\), \(A = 0.848 97\), \(b = -0.231 61\) - \(D/d = 1.20\), \(A = 0.834 25\), \(b = -0.216 49\) - \(D/d = 1.09\), \(A = 0.903 37\), \(b = -0.126 92\) #### Diagram: Stepped Shaft Geometry - **Parameters:** - \(T\) is the torque applied. - \(D\) and \(d\) are the diameters of the larger and smaller sections, respectively. - \(r\) is the radius of the fillet joining the two sections. #### Graph 2: Stress Concentration Factor \(K_t\) for Different \(D/d\) - **X-axis:** Radius-to-diameter ratio (\(r/d\)) - **Y-axis:** Stress concentration factor (\(K_t\)) - **
Transcribed Image Text:### Stress Concentration in Stepped Shafts The images illustrate the concept of stress concentration factors (\(K_t\)) in stepped shafts under different conditions, using graphs and mathematical expressions. Below is a detailed transcription and explanation. #### Graph 1: Stress Concentration Factor \(K_t\) for Stepped Shaft - **X-axis:** Radius-to-diameter ratio (\(r/d\)) - **Y-axis:** Stress concentration factor (\(K_t\)) - **Curves:** - Various curves represent different diameter ratios (\(D/d\)): - \(D/d = 2.0\) - \(D/d = 1.33\) - \(D/d = 1.20\) - \(D/d = 1.09\) - The curves show how the stress concentration factor decreases as the radius-to-diameter ratio increases. - **Equation:** \[ K_t = A \left( \frac{r}{d} \right)^b \] **Table of Constants:** - For different \(D/d\) ratios, constants \(A\) and \(b\) are provided: - \(D/d = 2.0\), \(A = 0.863 31\), \(b = -0.238 65\) - \(D/d = 1.33\), \(A = 0.848 97\), \(b = -0.231 61\) - \(D/d = 1.20\), \(A = 0.834 25\), \(b = -0.216 49\) - \(D/d = 1.09\), \(A = 0.903 37\), \(b = -0.126 92\) #### Diagram: Stepped Shaft Geometry - **Parameters:** - \(T\) is the torque applied. - \(D\) and \(d\) are the diameters of the larger and smaller sections, respectively. - \(r\) is the radius of the fillet joining the two sections. #### Graph 2: Stress Concentration Factor \(K_t\) for Different \(D/d\) - **X-axis:** Radius-to-diameter ratio (\(r/d\)) - **Y-axis:** Stress concentration factor (\(K_t\)) - **
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