Question: please answer the 2nd question the first is only for...

Please answer the 2nd question, the first is only for reference.

1. Consider a cylinder of height h, diameter d, and wall thickness t pressurized to an internal pressure P0 (gauge pressure, relative to the external pressure). The cylinder consists of material with Young’s modulus E, Poisson’s ratio ν, and density ρ. Derive expressions for the axial and hoop strains of the cylinder wall. You may assume plane stress conditions.

2. (7 points) Continuing on Problem 1, assume a strain gage is bonded to the cylinder wall surface in the direction of the hoop strain. The strain gage has nominal resistance R0 and a Gage Factor GF. It is connected in a Wheatstone bridge configuration where all resistors have the same nominal resistance; the bridge has an input voltage Vin. (The strain gage is bonded and the Wheatstone bridge balanced with the vessel already pressurized.) Develop an expression for the voltage change ΔV across the bridge if the cylinder pressure changes by ΔP.