A cantilever beam has been constructed from a steel having Young's modulus E = 208 GPa,Poisson ratio ? = 0.29, and tensile yield strength sy = 410 MPa. The length of the beam, from its base to its tip, is L = 1 m, and the uniform crosssection is rectangular, h = 5 mm
thick and b = 30 mm wide.
Two axially mounted strain gages have been mounted on the top surface (y = h/2). The precise absolute axial position "x" is not known for either gage; however, it is known that the two gages are spaced an axial distance of ? = 200 mm apart along the length of the
beam.A tip load of magnitude 'P' is applied to the cantilever, acting in a direction parallel to the y axis, causing the two gages (#1, which is nearer the base of the cantilever, and #2, which is nearer its tip) to register the following strain values
gauge 1 x1 strain 1200*10^-6
gauge2 x2=x1+200 mm strain 900*10^-6