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The spring constant of a fixed-fixed beam is given by 32 Ew (t/1)³ where E = Young's modulus, w = width of the beam, I = length of the beam and t = thickness of the beam. Would the spring constant increase or decrease if the device is scaled: a) 10x in length only b) 5x in width only c) both 10x in length and 5x in width.

The spring constant of a fixed-fixed beam is given by 32 Ew (t/1)³ where E = Young's modulus, w = width of the beam, I = length of the beam and t = thickness of the beam. Would the spring constant increase or decrease if the device is scaled: a) 10x in length only b) 5x in width only c) both 10x in length and 5x in width.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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MEMS = Micro electromechanical systems

The spring constant of a fixed-fixed beam is given by 32 Ew (t/1)³ where E = Young's modulus, w = width of the beam, I = length of the beam and t = thickness of the beam. Would the spring constant increase or decrease if the device is scaled: a) 10x in length only b) 5x in width only c) both 10x in length and 5x in width.
Transcribed Image Text:The spring constant of a fixed-fixed beam is given by 32 Ew (t/1)³ where E = Young's modulus, w = width of the beam, I = length of the beam and t = thickness of the beam. Would the spring constant increase or decrease if the device is scaled: a) 10x in length only b) 5x in width only c) both 10x in length and 5x in width.
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