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Problem 2 (25 points) The simply supported beam, with a U cross section, is subjected to...

Question:

Problem 2 (25 points) The simply supported beam, with a U cross section, is subjected to a uniformly distributed force of 8 k

Problem 2 (25 points) The simply supported beam, with a U cross section, is subjected to a uniformly distributed force of 8 kN/m and a concentrated load of 12 kN as shown. (a) Determine the reaction at supports A and B, (b) sketch the shear diagram and the moment diagram, (c) determine the location of the neutral axis of the cross section and calculate its area moment of inertia about the neutral axis, and (d) determine absolute maximum bending stress and (e) absolute maximum transverse shear stress. 12 KN Cross Section (unit: mm] 8 kN/m 100 300 с B 4 m -2 m tsot 100 tsot (a) reaction at A reaction at B (c)ỹ = 1 = (d) Omax (e) Tmax

Answers

12 KN Reactions 8 KNIM Cam B Ax Ym Fa=0; Ax=0 A 12 KN 8k Nm I t I a I LING IN um 2m FBA 32KW 28 KN 3Moco, Ayx 6-8x6x3-12x2=0M3 = 49 + V2 x (+1-2) = 49-414-3.5) 48 kNm My = 48 + V2 th x 2 = 48+/- 16-32) x2 > 0 © Location of heutral axis & moment of i@ Absolute monimem bendoy Shrews (Oman) Oman Mmon man unt Imen I min = I= 9.25x168 Mman - 49 KN.m = 49X106 N.man Imon = maximZmona 32000 x 1531250 9. 2x 108 x 100 N/mm2 3 Erman 1.589/mpa (Absolute)

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