Upon what three criteria are factors of safety based?

Short Answer

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Answer: The three criteria upon which factors of safety are based are: 1. Material properties - This includes the strength, ductility, and durability of a material, which determine its ability to withstand loads, deform without failure, and resist wear and degradation over time. 2. Load conditions - These are the external forces that the structure, system, or component will be subjected to during its intended use, such as static and dynamic loads. The design must account for these loads to ensure safety. 3. Uncertainties in design, fabrication, and manufacturing - Factors of safety account for inherent variabilities in material properties, processes, and human errors, providing additional safety margins against failure.

Step by step solution

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1. Identify the first criterion

The first criterion upon which factors of safety are based is material properties which include strength, ductility, and durability. Material strength determines how much load a material can withstand before it fails, while ductility refers to the material's ability to deform without failing. Durability is the ability of a material to resist wear, corrosion, and other types of material degradation over time. It is essential to choose appropriate materials with suitable properties for the specific application to ensure a sufficient factor of safety.
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2. Identify the second criterion

The second criterion is load conditions or external forces that the structure, system, or component will be subjected to during its intended use or lifespan. These include static loads (such as dead load, live load, and snow load) and dynamic loads (such as wind, seismic, and impact loads). To maintain a factor of safety, the design must account for the different types of loads a structure might experience and the structure must be designed to resist these loads without failing.
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3. Identify the third criterion

The third criterion is the uncertainties associated with design, fabrication, and manufacturing processes. Since there are inherent variabilities in material properties and processes, as well as human errors, it is impossible to predict with 100% accuracy how materials and fabrication processes will behave. Factors of safety are incorporated to account for these uncertainties and provide additional safety margin against failure. Factors of safety are typically developed through engineering standards, testing, and analysis to provide a reasonable level of safety considering the uncertainties in design, fabrication, and manufacturing.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Material Properties
Understanding material properties is a foundational aspect of ensuring the reliability of any engineering project. These properties encompass strength, ductility, and durability. Strength is a measure of the maximum load a material can withstand before failure; think of it as the material's muscle. Ductility, on the other hand, relates to the material's ability to bend or stretch without breaking, much like a gymnast's flexibility. Durability ensures that the material can endure environmental influences like corrosion or wear over time - it's akin to a marathon runner's endurance. Choosing the right material, with properties tailored to the intended application, is akin to picking the right athlete for a sport; it's crucial for safety and longevity.

For instance, when engineers select materials for a bridge, they must consider the loads the bridge will bear and the elements it will face. Materials with high tensile strength might be needed for cables, while those with excellent corrosion resistance are vital for structural elements exposed to harsh weather.
Load Conditions
When considering the design of structures or components, engineers have to meticulously analyze load conditions. These are the forces that will act upon the structure throughout its life. There are both static loads, such as the weight of the structure itself and any permanent fixtures (often referred to as dead load), or loads that can change over time like furniture or occupants (known as live loads). Snow load is another static load that accumulates over time. Dynamic loads include forces that are frequently changing in magnitude or direction, like the pressure from wind or the shaking from an earthquake.

For example, the design of a building must account for potential dynamic loads such as wind gusts or seismic activity. By anticipating the worst-case scenarios in terms of load, engineers can ensure that a structure is resilient and capable of maintaining stability and integrity under both normal and extreme conditions.
Design Uncertainties
Design uncertainties encompass a range of variables that might affect the performance of a structure or system, from variations in material properties to the precision of manufacturing processes. These inherent uncertainties can lead to a discrepancy between the expected and actual behavior of a structure. Think of this as a recipe where the exact flavor can vary slightly with each batch, even though the ingredients and instructions are the same.

These uncertainties are why a 'cushion' in the form of a safety factor is essential. It’s like preparing for an unpredictable weather forecast by carrying an umbrella. The safety factor is the umbrella, providing protection against the possibility that real-world conditions could prove to be more challenging than those anticipated during the design phase.
Engineering Standards
Engineering standards serve as a critical roadmap for safety in the engineering world. They are a collection of best practices, guidelines, and formal regulations that embody the collective wisdom and experience of the engineering community. Standards ensure that materials, designs, and processes meet established criteria for safety and performance, much like the rulebook in sports that ensures fair play and safety of the athletes.

For instance, building codes dictate the minimum safety requirements for structures, such as the types of materials that can be used and the methods for assessing loads. Adhering to these standards helps bridge the gap between theory and practice, ensuring that designs accommodate a broad spectrum of conditions, including those that are extreme or unexpected.
Structural Safety Margin
The structural safety margin, often quantified as the 'factor of safety' (FOS), is like a buffer zone or extra insurance for structures. It's the additional strength built into a structure beyond the expected maximum load to cater for unexpected overloads, material defects, or unforeseen design flaws. Imagine you're packing a fragile item for shipping - you wouldn't just wrap it once; you'd add extra layers of bubble wrap for protection against drops and jolts. That extra bubble wrap is your safety margin.

In engineering, this means a structure could withstand a certain percentage more stress than what it's expected to experience in its lifetime. By including a safety margin, engineers account for the unknowns that could not be precisely accounted for during the design process, such as minor deviations in material strength or unforeseen environmental forces.

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Most popular questions from this chapter

Demonstrate that Equation 6.16 , the expression defining true strain, may also be represented by $$\epsilon_{T}=\ln \left(\frac{A_{0}}{A_{i}}\right)$$ when specimen volume remains constant during deformation. Which of these two expressions is more valid during necking? Why?

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A cylindrical rod of steel \((E=207 \mathrm{GPa}, 30 \times\) \(\left.10^{6} \text { psi }\right)\) having a yield strength of \(310 \mathrm{MPa}\) \((45,000 \mathrm{psi})\) is to be subjected to a load of \(11,100 \mathrm{N}\left(2500 \mathrm{lb}_{\mathrm{f}}\right) .\) If the length of the rod is \(500 \mathrm{mm}(20.0 \text { in. }),\) what must be the diameter to allow an elongation of \(0.38 \mathrm{mm}(0.015 \text { in. }) ?\)

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