Question 1 (8 points)
You are sitting around on a Friday night pondering how to measure the strain on a thin-walled tank
a) (1 pt.) What is the elastic modulus of steel?
b) (2 pt.) If the thin-walled pressure vessel made of steel has an internal pressure of 1 MPa, a radius of 10
cm, and a thickness of 2 mm, what are the associated hoop and longitudinal stresses?
c) (2 pt.) If we now use aluminum for the pressure vessel with an elastic modulus of 70 GPa and
Poisson's ratio of 0.3, what are the associated hoop and longitudinal strains?
d) (2 pt.) Using Mohr's Circle with plane strain, what are the maximum in-plane shear strain and
absolute maximum shear strain associated with the state of strains calculated in part (c)?
e) (1 pt.) We now put a rectangular strain rosette with one axial sensor aligned with the hoop direction,
one axial sensor aligned with the longitudinal direction, and one sensor oriented 45° relative to the
other two sensors. What is the magnitude of the strain measured by the sensor oriented 45° relative to the
other two sensors?