Introduction:
Tensile extension is a fundamental concept in material science and engineering, describing the elongation or stretching of a material under tensile stress. Understanding tensile extension is crucial for predicting a material's behavior under load and ensuring its safe and reliable performance in various applications.
Definition:
Tensile extension, also known as elongation, is the increase in length of a material when subjected to a tensile force. It's measured as the difference between the original length and the elongated length, often expressed as a percentage of the original length.
Factors Influencing Tensile Extension:
Importance of Tensile Extension:
Measuring Tensile Extension:
Tensile extension is typically measured using a tensile testing machine. This equipment applies a controlled tensile force to a specimen and records the elongation at various load levels.
Summary:
Tensile extension is a crucial parameter in characterizing the mechanical behavior of materials under tension. By understanding its influence and how to measure it, engineers can effectively design and utilize materials for various applications, ensuring safety, reliability, and optimal performance.
Instructions: Choose the best answer for each question.
1. What is the definition of tensile extension?
a) The decrease in length of a material under tension. b) The increase in length of a material under tension. c) The force required to break a material. d) The cross-sectional area of a material.
b) The increase in length of a material under tension.
2. Which of the following factors does NOT influence tensile extension?
a) Material properties b) Force applied c) Density of the material d) Cross-sectional area
c) Density of the material
3. A material with high tensile strength typically has:
a) High elongation b) Low elongation c) No relationship to elongation d) Variable elongation depending on temperature
b) Low elongation
4. Why is understanding tensile extension important in engineering?
a) To calculate the weight of materials used in structures. b) To design structures that can withstand anticipated loads. c) To determine the color of a material under stress. d) To measure the temperature of a material under load.
b) To design structures that can withstand anticipated loads.
5. What is a typical tool used to measure tensile extension?
a) A thermometer b) A scale c) A tensile testing machine d) A ruler
c) A tensile testing machine
Task:
A steel wire with a cross-sectional area of 1 mm² is subjected to a tensile force of 500 N. The original length of the wire is 100 mm. If the steel has a Young's modulus of 200 GPa, calculate the tensile extension of the wire.
Formula:
Tensile extension (ΔL) = (Force (F) × Original Length (L)) / (Area (A) × Young's Modulus (E))
Instructions:
Here's the solution: 1. **Convert units:** * Original length (L) = 100 mm = 0.1 m * Cross-sectional area (A) = 1 mm² = 1 × 10⁻⁶ m² * Young's Modulus (E) = 200 GPa = 200 × 10⁹ Pa 2. **Plug values into the formula:** ΔL = (500 N × 0.1 m) / (1 × 10⁻⁶ m² × 200 × 10⁹ Pa) ΔL = 0.00025 m 3. **Convert back to millimeters:** ΔL = 0.00025 m = 0.25 mm Therefore, the tensile extension of the steel wire is 0.25 mm.
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