centimeter by centimeter?. well threre must be some other way, like its going to be triangular profile with one end E1 and other end E2.. is that possible to find equivalent E acting on rod ..mfb said:
yes sir .tensile stress =P/A. and strain = dL/L. .by hookes law E=stress/strain giives dL= PL/AEChestermiller said:
The centimeter by centimeter calculation is not correct, but if you answer my questions it should give you an idea how the correct approach looks like.praveenpandiyan said:
Your equation for the strain is valid only if it is uniform from one end of the rod to the other. In this problem, because E varies with position along the rod, the strain is not uniform from one end to the other. So you need to figure out how to handle a problem in which the strain is varying with position along the rod.praveenpandiyan said:
Yes. Just answer the questions I asked, and I'll get you to the answer.praveenpandiyan said:
Like I said, just answer the questions I asked, and I'll get you to the answer.praveenpandiyan said:
i didnot mean that way. i value you all. but i was in a hurry,, needed approach or formula that i miss.exams coming up.mfb said:
Several people have laid out an approach, but you need to come up with a way to use what they have said. We are not going to give you a formula that you can blindly plug numbers into.praveenpandiyan said:
praveenpandiyan said:
h .yeah ,.. I am seeing it ,anyway thanksMark44 said:
Not so fast. So, please show us your solution. It's the least you can do, given that we spent so much of our (valuable) time trying to help you.praveenpandiyan said:
The extension of a rod occurs when a force is applied to one end of the rod, causing it to stretch or lengthen. This is due to the elastic properties of the material the rod is made of, which allows it to deform and return to its original shape when the force is removed.
The extension of a rod is affected by several factors, including the material it is made of, the amount of force applied, and the length and thickness of the rod. The type of force applied (tension, compression, bending) also plays a role in the extension of the rod.
Yes, the extension of a rod can be calculated using Hooke's Law, which states that the amount of extension is directly proportional to the applied force and inversely proportional to the cross-sectional area of the rod. This can be represented by the equation F = kx, where F is the force, k is the spring constant, and x is the extension.
The extension of a rod refers to the change in its length due to an applied force, while elongation refers to the total length of the rod compared to its original length. Extension takes into account only the change in length, while elongation includes the original length as well.
Rod extension is a common phenomenon in structures and machines, where rods are used to support and transfer forces. This can be seen in bridges, buildings, and even everyday objects like bicycles and doors. Understanding rod extension is important in designing and engineering these structures to ensure they can withstand the forces they are subjected to.