Four strain gauges are mounted on a cantilever beam in a configuration like that shown in Figure 3. It is used to measure vibrational bending moment that is applied to the beam itself. The specifications of the load cell are given as follows: Modulus of Elasticity: E = 120 GPa ● ● Beam dimensions (Length x Height (h) x Width (b)): 25cm x 0.75cm x 2.5cm. Non-deflected resistances of the strain gauges = 3000

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Chapter19: Capacitors
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Question 3
Four strain gauges are mounted on a cantilever beam in a configuration like that shown in Figure 3.
It is used to measure vibrational bending moment that is applied to the beam itself. The
specifications of the load cell are given as follows:
Modulus of Elasticity: E = 120 GPa
Beam dimensions (Length x Height (h) × Width (b)): 25cm x 0.75cm x 2.5cm.
● Non-deflected resistances of the strain gauges = 3000
●
●
Strain gauge factor = 3
Wheatstone bridge voltage supply = 6 Volts.
The bending moment is to be interpreted on a computer via a 12 bit A/D converter with
measurement range 5 Volts. The required resolution is 0.01 Nm/(bit step). Moreover, the
bending moment is required to be band pass filtered with a transfer function that has a quality factor
of 1.2 and a cut off frequency of 1000 rad/s. Please design an analogue schematic that can be used to
achieve all of the aforementioned objectives. Please:
1. determine the sensitivity of the Wheatstone bridge output ().
2. determines the required total gain of the analogue circuit.
3.
calculate the range of moment (in Nm) that can be measured by the proposed design.
4. provide a complete schematic of your circuit
5. determine all passive component values in your circuit. Any associated transfer functions or
static gain formulae shall be either derived or referenced.
100
Figure 3.
Top
Bottom
2
Bottom
Top
3
Vo
Transcribed Image Text:Question 3 Four strain gauges are mounted on a cantilever beam in a configuration like that shown in Figure 3. It is used to measure vibrational bending moment that is applied to the beam itself. The specifications of the load cell are given as follows: Modulus of Elasticity: E = 120 GPa Beam dimensions (Length x Height (h) × Width (b)): 25cm x 0.75cm x 2.5cm. ● Non-deflected resistances of the strain gauges = 3000 ● ● Strain gauge factor = 3 Wheatstone bridge voltage supply = 6 Volts. The bending moment is to be interpreted on a computer via a 12 bit A/D converter with measurement range 5 Volts. The required resolution is 0.01 Nm/(bit step). Moreover, the bending moment is required to be band pass filtered with a transfer function that has a quality factor of 1.2 and a cut off frequency of 1000 rad/s. Please design an analogue schematic that can be used to achieve all of the aforementioned objectives. Please: 1. determine the sensitivity of the Wheatstone bridge output (). 2. determines the required total gain of the analogue circuit. 3. calculate the range of moment (in Nm) that can be measured by the proposed design. 4. provide a complete schematic of your circuit 5. determine all passive component values in your circuit. Any associated transfer functions or static gain formulae shall be either derived or referenced. 100 Figure 3. Top Bottom 2 Bottom Top 3 Vo
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