In the Strain Gauge lab session, you will be measuring bending of a beam shown in figure 3

In the Strain Gauge Lab session, you will be measuring bending of a beam shown in Figure 3 using two strain gauges (red and blue strips in the figure). Answer the following questions about this setting. a) Draw a Wheatstone bridge circuit diagram and derive the expression for its sensitivity. [22 marks] Clamp Rg1 (red) Rgz (blue) Load Figure 3. Strain gauge arrangement on a beam that is subject to a bending load near its tip. b) Identify specification of all the components (i.e. fixed-value resistors and source voltage) which are the most suitable to achieve this measurement with its sensitivity Vo/e= 5 V m/m. The gauge factor and the unstrained resistance of these strain gauges are 2.0 and 1202, respectively. [8 marks] c) What would be the output voltage from the same Wheatstone bridge circuit in b) if the beam is stretched in its longitudinal direction rather than bent? Explain also the reason behind your answer. [8 marks] d) Suggest a method to increase the sensitivity of the measurement by changing number of strain gauges but using the same gauges (i.e. same product) and same supply voltage. Draw a new strain gauge arrangement on the beam as well as a new Wheatstone bridge circuit, clearly indicating which gauge on the beam is placed where in the circuit. Then, derive the equation for the output voltage and prove the sensitivity of the new arrangement is better than before. If necessary, use 0.3 for the Poisson's ratio of the beam material. [22 marks]