The representative curves of the applied stress versus the number of cycles for different metals are shown in Figure Q2. Analyze both metals in terms of fatigue properties. 500 (₂u 1045 steel

Structural Analysis
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Chapter2: Loads On Structures
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Steel

The graph in Figure Q2 displays the representative curves of applied stress amplitude versus the number of cycles for two different metals: 1045 steel and 2014-T6 aluminium. The x-axis represents the number of cycles (\(N_f\)), ranging from \(10^3\) to \(10^9\), on a logarithmic scale. The y-axis indicates the stress amplitude measured in meganautons per square meter (MN/m²).

### Description of the Graph:

- **1045 Steel Curve**: The upper curve represents 1045 steel. It shows a gradual decrease in stress amplitude as the number of cycles increases. Beyond \(10^6\) cycles, the curve flattens out, indicating a region where the stress amplitude remains relatively constant despite the increasing number of cycles. This behavior suggests a high endurance limit for steel.

- **2014-T6 Aluminium Curve**: The lower curve represents 2014-T6 aluminium. It also shows a decreasing trend in stress amplitude with increasing cycles. However, this curve declines more steeply than the steel. After \(10^6\) cycles, the slope becomes less steep, implying a lower endurance limit compared to steel.

### Analysis:

- **Fatigue Properties**: The curves illustrate different fatigue behaviors between the two metals. 1045 steel has superior fatigue resistance, maintaining higher stress amplitudes over more cycles compared to 2014-T6 aluminium.

Figure Q2 effectively highlights the differences in endurance and fatigue limits between two common engineering materials used in structural applications.
Transcribed Image Text:The graph in Figure Q2 displays the representative curves of applied stress amplitude versus the number of cycles for two different metals: 1045 steel and 2014-T6 aluminium. The x-axis represents the number of cycles (\(N_f\)), ranging from \(10^3\) to \(10^9\), on a logarithmic scale. The y-axis indicates the stress amplitude measured in meganautons per square meter (MN/m²). ### Description of the Graph: - **1045 Steel Curve**: The upper curve represents 1045 steel. It shows a gradual decrease in stress amplitude as the number of cycles increases. Beyond \(10^6\) cycles, the curve flattens out, indicating a region where the stress amplitude remains relatively constant despite the increasing number of cycles. This behavior suggests a high endurance limit for steel. - **2014-T6 Aluminium Curve**: The lower curve represents 2014-T6 aluminium. It also shows a decreasing trend in stress amplitude with increasing cycles. However, this curve declines more steeply than the steel. After \(10^6\) cycles, the slope becomes less steep, implying a lower endurance limit compared to steel. ### Analysis: - **Fatigue Properties**: The curves illustrate different fatigue behaviors between the two metals. 1045 steel has superior fatigue resistance, maintaining higher stress amplitudes over more cycles compared to 2014-T6 aluminium. Figure Q2 effectively highlights the differences in endurance and fatigue limits between two common engineering materials used in structural applications.
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