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A steel cantilever beam is fixed at one end and free to move at the other. A load F of 980 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 = 1000) and measured. For a cantilever, the relationship between applied load and strain is F = 2EmIε Lt bt3 where I is the beam moment of inertia (1 12 t is the beam thickness, and b is the beam width. The bridge excitation voltage, E¡ is 5V and modulus of elasticity, Em is 200 GPa. Estimate the measured output for the applied load, if the dimension of the beam is given in Figure 4.

A steel cantilever beam is fixed at one end and free to move at the other. A load F of 980 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 = 1000) and measured. For a cantilever, the relationship between applied load and strain is F = 2EmIε Lt bt3 where I is the beam moment of inertia (1 12 t is the beam thickness, and b is the beam width. The bridge excitation voltage, E¡ is 5V and modulus of elasticity, Em is 200 GPa. Estimate the measured output for the applied load, if the dimension of the beam is given in Figure 4.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A steel cantilever beam is fixed at one end and free to move at the other. A load F of 980 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 = 1000) and measured.

For a cantilever, the relationship between applied load and strain is    

 

where  is the beam moment of inertia (),

 is the beam thickness, and  is the beam width.

The bridge excitation voltage,  is 5V and modulus of elasticity,  is 200 GPa.

Estimate the measured output for the applied load, if the dimension of the beam is given in Figure 4.

A steel cantilever beam is fixed at one end and free to move at the other. A load F of 980 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 = 1000) and measured. For a cantilever, the relationship between applied load and strain is F = 2Emlɛ Lt bt3 where I is the beam moment of inertia (I = 12 t is the beam thickness, and b is the beam width. The bridge excitation voltage, E; is 5V and modulus of elasticity, Em is 200 GPa. Estimate the measured output for the applied load, if the dimension of the beam is given in Figure 4.
Transcribed Image Text:A steel cantilever beam is fixed at one end and free to move at the other. A load F of 980 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 = 1000) and measured. For a cantilever, the relationship between applied load and strain is F = 2Emlɛ Lt bt3 where I is the beam moment of inertia (I = 12 t is the beam thickness, and b is the beam width. The bridge excitation voltage, E; is 5V and modulus of elasticity, Em is 200 GPa. Estimate the measured output for the applied load, if the dimension of the beam is given in Figure 4.
y X 0.1m Figure 4: Cantilever beam. 0.03 m 0.01 m
Transcribed Image Text:y X 0.1m Figure 4: Cantilever beam. 0.03 m 0.01 m
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