The Flexor loading micrometer will be used to load the beam. Calculate the deflectionrequired to bend the beam to the desired strain.Deflection in a cantilever beam b inches wide by t inches thick is:4PL3y =Ebt3%3D(4)where:y= deflection (in), P= force, lbs, L= distance from clamp to loading micrometer (10.0 in), E =Young's modulus for aluminum (10.4E6 psi).%3D%3DStress at the rosette is given by:Mc/ = 6Px(5)%3Dbt2where:x= the distance from the loading micrometer to the rosette centerline (9.0 in), and P, b and t areas defined above.Using equations (4) and (5) above, determine the deflection required to impose a 15 Kpsistress in the beam at the gage rosette centerline. What force will be applied by the loadingmicrometer at 15Kpsi? Do your work in the space below.

On substituting the given values of 'L', 'E' in the given equation of deflection we get y =4PL3EbT3=4P(10)310.4x106bt3=3.846x10-4bt3P-----(i) For Stress, σ=6Pxbt2 Substituting the given values of x =9 inches and stress equal to 15Kpsi=15x103 psi we get 15x 103=6Px9bt2=54Pbt2-------(ii) Dividing (i) by (ii) y15 x 103=3.846x10-4bt3 x 54 PP x bt2 y15 x 103=7.122x10-6t Thus deflection 'y' =0.107t--(iii) Substituting the value of deflection in equation (i) we can determine the load P 0.107t=3.846x10-4bt3P Thus P= 278.21 bt2---------(iv) Thus equation (iii) and equation (iv) gives the deflection and load acting on the beam for a stress of 15kpsi. Since width and thickness of the beam are not given, thus the deflection and load are determined in terms of width and thickness.