12 in. 1/8 in. - +1 in.To approximate the value of Young's modulus, E, you can use the formula: FL3 E _ 3I6 where: 0 F is the force at the end of the beam - L is the length of the cantilever beam 0 i is the moment of inertia (dependent upon the beam's cross-sectional shape) 0 6 is the amount of deformation (maximum length of beam deflection) For this investigation, the formula can be simplified using the following information: - The force, F, applied to each beam is 5/16 lb. 0 The length, L, of each beam is 12 in. - The moment of inertia, i, for each beam is 1.628 X1O'4in4. PLTW ENGINEERING NOTEBOOK a. To calculate Young's modulus, use your simplified formula and the maximum deflection value for each material sample. b. Convert Young's modulus to units of gigapascals (GPa) using the conversion factor: 1b = 6. 89476 x 10- GPa in2