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5. A 4-point bending test is performed on a beam of length L = 1 m. A load of P = 2000 N is applied across two loading points a distance a = 0.4 m from the sides of the beam. If the beam has a radius of r = 1 cm and a yield strength of σ = 250 MPa, does the bar yield? If it's an elastic-perfectly plastic material, does it fail all the way through the thickness of the bar? What would the yield strength of the material need to be if we wanted a factor of safety of 1.5?

The beam ABis attached to the wall in the zz plane by a fixed support at A. A force of F = (- 156i + 58.0j + 350k) N is applied to the end of the beam at B. The weight of the beam can be modeled with a uniform distributed load of intensity w = 65.0 N/m acting in the negative z direction along its entire length. Find the support reactions at Á. F B y а Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 5.80 m 5.00 m 3.80 m A = i+ j- k) N MA = k) N-m

The modulus of elasticity for the steel cable is 25 (10)^6 psi. Determine the average stress in the cable under the applied load. Assume a linear stress strain curve.