Jul 3, 2013 · The discussion revolves around calculating Young's Modulus using spaghetti samples of varying diameters through a bending test. The participant has successfully determined stress values but is struggling with the relationship between deflection and strain, as well as the calculation of Young's Modulus. Key advice includes the need to understand beam bending …

Apr 8, 2020 · The discussion focuses on calculating Young's Modulus from a stress/strain graph for mild steel. The user initially miscalculated the modulus due to errors in reading the graph and misunderstanding the 'toe' region, which is crucial for accurate slope determination. After receiving guidance on selecting appropriate data points and correcting a factor of ten error, the …

Apr 21, 2012 · To calculate percentage uncertainty for Young's modulus, one must first determine the uncertainties in measurements used to calculate stress and strain. The formula for Young's modulus involves stress (force applied divided by cross-sectional area) and strain (extension divided by original length). To show reduced uncertainty in a second method, compare the …

May 26, 2005 · To calculate the change in length for aluminum and steel connected as one rod, the equations for stress and strain can be set equal due to the uniform force applied. The total change in length of the rod is 1mm, with the aluminum section being twice as long as the steel section. By manipulating the equations for each material's Young's modulus, the relationship …

Aug 7, 2010 · Young's modulus for Polyester Polyurethane can be estimated using the provided tensile strength and modulus values. The 100% modulus is 1500 psi, while the 300% modulus is 2950 psi, indicating that the material transitions into a plastic region beyond 100% extension. Young's modulus is defined as the slope of the stress vs. strain curve in the elastic region, and …

Apr 28, 2024 · The discussion revolves around calculating Young's modulus for two gummy recipes using stress and strain data. The user expresses confusion about selecting appropriate points within the linear elastic region of the stress-strain graph for accurate calculations. It is clarified that only values within this linear region, specifically extensions up to 0.1 cm, should …

Jan 27, 2013 · Young's modulus (Y) is defined as the ratio of stress to strain, while the spring constant (k) is derived from Hooke's law. There is a relationship between Young's modulus and the spring constant, particularly for string or rod-like materials, expressed as k = Y*A/L, where A is the cross-sectional area and L is the length. This relationship holds true up to the proportional …

Jun 27, 2007 · To calculate Young's Modulus for a nylon rope, the cross-sectional area is determined using the formula for the area of a circle, A = πr². Given the rope's diameter of 1.4 cm, the radius is 0.7 cm, leading to an area of π (0.7 cm)². It's crucial to convert this area into standard units, such as square meters, for accurate calculations. Ensuring unit consistency is essential …

Jan 11, 2015 · To calculate Young's modulus for a cylinder with a volume of 8000 m³, pressure of 80 MPa, and bulk modulus of 74 MPa, the user initially applies the formula for volumetric strain, yielding a value of 1.081. They then attempt to calculate Young's modulus using both stress and volumetric strain, resulting in two different values: 592.05 GPa and 88.8 MPa, both of which …

Sep 1, 2011 · To calculate Young's modulus from a non-linear stress-strain graph, it's essential to focus on the linear portion of the graph, typically below the elastic limit. The formula for Young's modulus is the change in stress divided by the change in strain. When analyzing the graph, different gradients indicate non-linearity, complicating the calculation. The correct approach is …