Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
![Prob. # 5] A machine of mass m = 500 kg is mounted on a simply supported steel beam of length L
= 2 m having a rectangular cross section (depth = 100 mm, width = 1200 mm) and Young's modulus
E = 2.06 x 10" N/m². To reduce the vertical deflection of the beam, a spring of stiffness k is attached
at the mid-span, as shown in figure P1. Determine the value of k needed to reduce the deflection of
the beam by: a) 25 % of its original value; b) 50 % of its original value; and c) 75 % of its original
48EI
value. Note: Stiffness of simply supported beam with load at the middle, k, =-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0305ebd-cae9-458e-b3de-a288311d2c60%2F0fb0b2e5-e088-43d5-ae16-d100f9404e01%2F5qqvm3g_processed.jpeg&w=3840&q=75)
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