A cylindrical steel bar 8 mm in diameter is loaded 1000 cycles per day with a load of 15560 N. How long until fatigue failure takes place? Note: stress = force/area Group of answer choices The bar should not fatigue. The bar will fail in one cycle. 100 days 1000 days

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A cylindrical steel bar 8 mm in diameter is loaded 1000 cycles per day with a load of 15560 N.  How long until fatigue failure takes place?  Note: stress = force/area

 

Group of answer choices
The bar should not fatigue.
The bar will fail in one cycle.
100 days
1000 days
This graph depicts the relationship between stress amplitude and cycles to failure for two different materials: a steel alloy and a brass alloy. The y-axis represents the stress amplitude in megapascals (MPa), while the x-axis is a logarithmic scale showing the number of cycles to failure, denoted as \(N\).

**Steel Alloy:**
- Represented by the blue line.
- Shows higher stress amplitudes beginning around 485 MPa for lower cycle counts.
- The stress amplitude decreases as the number of cycles increases, reaching about 300 MPa for higher cycle counts near \(1.00 \times 10^9\).

**Brass Alloy:**
- Represented by the black line.
- Begins with stress amplitudes around 150 MPa for lower cycle counts.
- The stress amplitude decreases to approximately 75 MPa as the cycle count increases to near \(1.00 \times 10^9\).

The graph illustrates that the steel alloy can withstand higher stress amplitudes over an extended number of cycles compared to the brass alloy, indicating generally superior fatigue resistance under cyclic loading conditions.
Transcribed Image Text:This graph depicts the relationship between stress amplitude and cycles to failure for two different materials: a steel alloy and a brass alloy. The y-axis represents the stress amplitude in megapascals (MPa), while the x-axis is a logarithmic scale showing the number of cycles to failure, denoted as \(N\). **Steel Alloy:** - Represented by the blue line. - Shows higher stress amplitudes beginning around 485 MPa for lower cycle counts. - The stress amplitude decreases as the number of cycles increases, reaching about 300 MPa for higher cycle counts near \(1.00 \times 10^9\). **Brass Alloy:** - Represented by the black line. - Begins with stress amplitudes around 150 MPa for lower cycle counts. - The stress amplitude decreases to approximately 75 MPa as the cycle count increases to near \(1.00 \times 10^9\). The graph illustrates that the steel alloy can withstand higher stress amplitudes over an extended number of cycles compared to the brass alloy, indicating generally superior fatigue resistance under cyclic loading conditions.
Expert Solution
Step 1

Given:

diameter of steel bar= d = 8 mmapplied load = P = 15560 NNumber of cycles per day = N = 1000 cycles

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