A steel cantilever beam is fixed at one end and free to move at the other. A load F of 998 N is applied to the free end. Four axially aligned strain gauges (GF = 2) are mounted to the beam at a distance L from the applied load, two on the upper surface, R1 and R4, and two on the lower surface, R2 and R3. The bridge deflection output is passed through an amplifier (gain, GA = 100) and measured. For a cantilever, the relationship between applied load and strain is, ? = 2???? / ?? where I is the beam moment of inertia (= bt3 /12), t is the beam thickness, and b is the beam width. Estimate the measured output for the applied load if L = 0.12 m, b = 0.027 m, t = 0.01 m, and the bridge excitation voltage is 5 V. Em = 195 GPa.
A steel cantilever beam is fixed at one end and free to move at the other. A load F of 998 N is applied to the free end. Four axially aligned strain gauges (GF = 2) are mounted to the beam at a distance L from the applied load, two on the upper surface, R1 and R4, and two on the lower surface, R2 and R3. The bridge deflection output is passed through an amplifier (gain, GA = 100) and measured. For a cantilever, the relationship between applied load and strain is, ? = 2???? / ?? where I is the beam moment of inertia (= bt3 /12), t is the beam thickness, and b is the beam width. Estimate the measured output for the applied load if L = 0.12 m, b = 0.027 m, t = 0.01 m, and the bridge excitation voltage is 5 V. Em = 195 GPa.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Number 5.
A steel cantilever beam is fixed at one end and free to move at the other. A load F of 998 N is applied to the free end. Four axially aligned strain gauges (GF = 2) are mounted to the beam at a distance L from the applied load, two on the upper surface, R1 and R4, and two on the lower surface, R2 and R3. The bridge deflection output is passed through an amplifier (gain, GA = 100) and measured. For a cantilever, the relationship between applied load and strain is,
? = 2???? / ??
where I is the beam moment of inertia (= bt3 /12), t is the beam thickness, and b is the beam width. Estimate the measured output for the applied load if L = 0.12 m, b = 0.027 m, t = 0.01 m, and the bridge excitation voltage is 5 V. Em = 195 GPa.
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