Buildings used to be built with what iscalled working stress design. This methodinvolved making sure the stresses experienced by thematerials would not exceed the yield stressso no plastic deformation could occur. Currently ultimatestress design is much more common. This design sets the maximum stress allowable to theultimate tensile stress, which allows someplastic deformation to occur, allowing less materialto be used. If we have steel with a Young's modulus of 205 GPa, a yield strength of 370 MPa, and anultimate strength of 440Mpa. Calculate the area ofa 3 m long beam you would need to withstand106N for each of the two design methods. What is the percentage decrease in the amount of steelused for the ultimate stress designcompared to the working stress design?