Purdue University College of Engineering



CE270 – Spring 2015 – Final Exam – May 7, 2015 – 7:00 - 9:00 pm – In FRNY G140Rules: Follow Purdue rules of academic honesty and integrity. Allowed: One sheet of paper with equations etc. on one side only to assist during exam. Calculator and drawing tools.Problem No. 1. 20 points Calculate the maximum shear stress for the cross-section shown below subjected to a shear force (V) of 100 kips. (15 points)Sketch the expected shear stress distribution over the cross-section without any specific calculations.(3 points)Perform a quick calculation of the average shear stress for design(2 points)Problem No. 2. 30 pointsThe boards are glued together to form the built-up beam. If the wood has an allowable shear stress of 3 MPa, and the glue seam at B has an allowable shear stress of 1.5 MPa, determine the maximum allowable internal shear force V that can be developed in the beam. Problem No. 3. 35 pointsThe cantilever beam is subjected to loads as shown in the figure below. (a) Calculate the stresses (?, ?) at point B in the cross-section, which is located at the fixed end. (25 points)(b) Calculate the principal stress and direction also at the point B(10 points)Problem No. 4 (a) 10 pointsCalculate the maximum deflection of the simply supported beam. E = 200 GPa and I = 39.9x10-6 m4Problem No. 4(b). 5 pointsCalculate the critical buckling load for an I-shaped column with E = 29000 ksi, Ix = 500 in4 and Iy = 100 in4. The end conditions are fixed-pinned for both axes, and the column length is equal to 15 ft. What is the critical buckling load and direction. ................
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