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Strain Formula
The Extramarks platform simplifies and communicates complex topics such as Strain Formula in simple terms. To prepare students for exams, these study guides cover all aspects of topics such as Strain Formula. The textbook solutions are available, as well as additional questions and sample papers. Students can learn holistically while also learning with their classmates. The Extramarks platform covers every subject in every class of the school curriculum. As a result, students from any educational board can learn about topics such as the Strain Formula.
The primary source of learning for students is recommended textbooks. Each education board has different textbook recommendations. These textbooks are heavily used by students to help them understand the chapters, topics such as Strain Formula, and prepare for exams. Students can learn the Strain Formula with the help of these textbooks. The textbooks include multiple-choice questions within and at the end of each chapter to assess students’ comprehension. Students may find the Strain Formula questions challenging because there are no step-by-step solutions provided. Students may need to consult multiple sources to find textbook solutions to Strain Formula.
There are numerous online platforms that provide textbook solutions for Strain Formula, but not all of them are trustworthy. Learning about the Strain Formula from untrustworthy sources may result in incorrect information. Students can use the study guides on the Extramarks platform.
What is Strain?
Strain is the amount of deformation that an object experiences as a result of the application of stress. Simply put, stress refers to the internal force, whereas strain refers to the physical effect of that force on the object. Strain is a measure of the amount of deformation that occurs on an object as a result of force. Longitudinal strain, shearing strain, and volumetric strain are the three major types of strain.
Strain is a quantity that has no units. This is due to the fact that the values in the numerator and denominator are always in the same units. Furthermore, strain is a deformation description in terms of the relative displacement of particles in a specific body.
This description, however, excludes rigid body motions. Different equivalent choices for the expression of a strain field are certainly possible. Furthermore, this is dependent on whether it is defined with respect to the body’s final or initial configuration.
Strain Formula and Derivation
The strain formula is: S = ΔxX
Here,
S = strain (it is unitless)
Δx = change in dimension
X = original dimension
An important thing to consider is the dimensional representation of strain which takes place as [M0L0T0]
Here,
M = Mass
L = Length
T = Time
Therefore, one can derive the following formula of strain from the above formula or equation:
[M0L0T0] = M0L1T0×[M0L1T0]−1
Now from the above, one can derive the dimensional formula of length = [M0L1T0]
Finally, the formula of strain is = changeindimensionoriginalvalueofdimension
Types of Strain
The Strain Formula is critical because it discusses a variety of topics. It is a novel concept that is introduced to students in upper-level school classes. Not all students may be prepared for this level of complexity, and it may also intimidate some. There is nothing to be afraid of in the topic or the subject. It’s straightforward, and students can learn about it in their textbooks. Studying the topic can be made easier with the Extramarks platform. Students can access multiple study guides. Apart from study guides, students can also take free demo to analyse the level of teaching of the platform. The platform helps students in identifying their weak points. This allows students to discuss on the important parts of the learning and discuss on the topics among themselves. This boosts their confidence and allows them to write exams in a better and more precise manner. This results in better performance in the examination and better grades.
Solved Example on Strain Formula
Q1 Heating results in the expansion of metals. A hot liquid enters through a copper pipe 10.00 m long. This causes an increase in length to 10.17 m. Calculate the longitudinal strain?
A1 The longitudinal strain refers to the change in length divided by the original length. The change in length refers to the difference between the final length (l2) and the length which is initial(l1). Now one can find the strain:
S = ΔxX
S = Δll1
S = l2−l1l1
S = 10.17–1010
S = 0.1710
S = 0.017
Hence, the longitudinal strain is 0.01.