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Faiq
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Suggest why a thin rod can bend more than thick rod without breaking
Faiq said:Suggest why a thin rod can bend more than thick rod without breaking
M/I is the same thing as the elastic modulus E divided by the radius of curvature. So as I said in my post, for the same radius of curvature, with two rods of the same material, the thicker one will have a larger bending stress because it has material elements further from the neutral axis.DanielSauza said:Because the bending stress depends on the distance between it's neutral axis (which is in the center for common shapes in the case of pure bending). So a thicker rod will experience larger maximum bending stress than a slim one when subject to forces of the same magnitude.
same reason why a arc of small radius subtends a larger angle at center than a arc of same length and larger radiusFaiq said:Suggest why a thin rod can bend more than thick rod without breaking
Please elaborate on how this answers the OPs question in terms of the stress required to cause the rod to break.hackhard said:same reason why a arc of small radius subtends a larger angle at center than a arc of same length and larger radius
Strength in thin rods is typically measured using two main methods: tensile testing and bending testing. In tensile testing, a thin rod is pulled from both ends until it breaks, and the amount of force required to break the rod is recorded. In bending testing, a rod is bent at a specific point until it breaks, and the force required to break the rod is recorded. Both methods provide a measure of the maximum amount of force the rod can withstand before breaking, also known as its ultimate strength.
Yes, it is possible for thin rods to possess both strength and flexibility. In fact, research has shown that certain materials, such as carbon fiber and certain types of plastics, can exhibit high strength and flexibility simultaneously. This is because these materials have a high degree of stiffness, allowing them to resist deformation under stress, while also maintaining their ability to bend and flex without breaking.
The thickness of a rod can have a significant impact on its strength and flexibility. In general, thinner rods are more flexible than thicker rods due to their lower stiffness. However, thinner rods also have a lower cross-sectional area, meaning they have a lower ability to resist tensile and bending forces. As a result, thinner rods may have lower strength than thicker rods, but they may also exhibit greater flexibility.
Several factors can influence the strength and flexibility of thin rods, including the material they are made of, their thickness, and their length. The type of loading applied to the rod, such as tension or bending, can also affect its strength and flexibility. Additionally, the manufacturing process and any defects or imperfections in the rod can impact its mechanical properties.
The study of thin rods and their strength and flexibility properties has many practical applications. It can inform the design and engineering of structures and materials, such as bridges, airplanes, and sports equipment, to ensure they can withstand various types of stress and loading. Understanding the behavior of thin rods can also aid in the development of new and improved materials that possess desirable mechanical properties for specific applications.