Looks then like your plotting mass (presumably a mass hanging down on the wire, yielding a weight/force unit) versus extension.. You want to find the stress at yield. What is it? Are the properties of the wire given?ZedCar said:Thanks PhanthomJay, it's mass / grams on the y-axis and extension / mm on the x-axis.
PhanthomJay said:Looks then like your plotting mass (presumably a mass hanging down on the wire, yielding a weight/force unit) versus extension..
PhanthomJay said:You want to find the stress at yield. What is it? Are the properties of the wire given?
Yes, excellent. And I'm sure you know that a N/m^2 is called a 'pascal' for short.ZedCar said:Yes, that's right.
Ah, I see what you mean! I need to find the stress at the yield point.
So I'll obtain the applied force by using the mass (in kg) at which the elastic limit is reached and multiply this by 9.81 (acceleration due to gravity). Then divide this number by the cross sectional area of the wire. Ensuring when calculating the cross sectional area of the wire the diameter is in the SI unit of the metre.
So the final figure for the estimation of the elastic limit would be in the units of N/m2
PhanthomJay said:Yes, excellent. And I'm sure you know that a N/m^2 is called a 'pascal' for short.
Young's Modulus, also known as the elastic modulus or modulus of elasticity, is a measure of the stiffness of a material. It is defined as the ratio of stress (force per unit area) to strain (change in length per unit length) when a material is subjected to an external force. It is typically denoted by the symbol E and is expressed in units of pressure, such as pascals (Pa) or pounds per square inch (psi).
Young's Modulus is typically measured using a tensile test, where a sample of the material is pulled in opposite directions until it reaches its breaking point. The amount of force applied and the resulting change in length are recorded, and Young's Modulus is calculated using the equation E = stress/strain.
Young's Modulus is an important material property that helps engineers and scientists understand how a material will behave under different types of stress. It is used in the design and analysis of structures and components, as well as in the development of new materials. It also plays a crucial role in determining the elastic limit, or the maximum stress a material can withstand without permanently deforming.
The value of Young's Modulus can vary for different materials and can also change under certain conditions. Factors such as temperature, strain rate, and microstructure can affect the modulus of a material. Additionally, some materials exhibit anisotropic behavior, meaning their modulus may vary in different directions.
Young's Modulus is an important consideration in material selection for different applications. It can help determine if a material is suitable for a specific use based on its stiffness and ability to resist deformation. For example, materials with a high modulus are ideal for load-bearing structures, while those with a lower modulus may be better suited for applications that require flexibility.