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Published on December 5, 2014

Strength Of Materials Problems 50 5. A U-shaped bar, 25 mm in thickness and 7 m in length is simply supported at the free ends as shown in Figure P5 below. If a uniformly distributed load of 10 kN/m applied along the entire length of the bar, calculate: i) the maximum deflection of the beam ii) the maximum slope of the beam Given, E = 200GN/m 2 (Ans: 101.9 mm, 0.05 rad) 6. a) A cantilever beam 6 m length is subjected to a uniformly distributed load w N/m in the entire length of the beam as in Figure P6 below. The beam cross section is shown below. Determine the value of b if the maximum deflection does not exceed 15 mm and the maximum allowable bending stress allowed is 100 kN/m 2 . b) If the same beam in question 6(a) above is simply supported, determine the value of a uniformly distributed load, w. Take the value of E = 11 GN/m 2 . (Ans: 300 mm, 52.8 kN/m) 7. A 5 m-long beam is simply supported on both ends as shown in Figure P7 below. If the beam is carrying a concentrated load of 60 kN at the middle of the beam, calculate the maximum deflection and slope of the beam by neglecting the beam weight. Given E = 105GN/m 2 (Ans: 202mm, 0.1013 rad) 10 kN/m 7m 125 mm Figure P5 250 mm B 60 kN 6 m A Figure P7 100 mm 200 mm 10 mm 20 mm 100 mm 10 mm 6m w N/m b 2b Figure P6