Question

Question 8 The T-beam shown in Figure 8 is subjected loading (a) show that the centroidal distance (y) as measured from the top of the beam is as shown 60mm (b) show that the moment of Inertia about the centroidal () axis Is 27.0x10 mm (c) determine the reactions (d) draw the Shear Force and Bending Moment Diagrams (e) Calculate the maximum shear stress in the beam. (n compute the shear-stress jump at the flange-web junction B (g) Sketch the variation of the shear-stress intensity over the entire cross-section. 800 N 600 N 1200 N m Im 1 m 1m 1 m 150 mm 150 mm 30 mm 30 mm Figure 8 (2+2+3+6+4+2+2= 21marks)

answer all the parts if cannot answer all the parts ignore the question

Answer 1

1SOmm T 30 mm 6 Om m X w s 30 mr a) Calculatng centroid from top A, A = SO x 3o x1S + ISOX 30 x 10s S0x 30 \ SOx 30 b) Caleulabing x about centridal axis T ISox30 (4s)2 2 = 9450o o 0 mm 30 x 1SO+ I S0x 30( 4 s)2 \7 5 S oo00 mm + 175 5o060 SooN G00N C) 1200N-m AA MоA -о Soox1 600x3 1200

SFD 450 A 350 gso 200 BMD oS6 A e) Maximum shea Ates occurs ot point el maximum sheor force e 950 N at point o centroid Tt occurs = Ye A =ISOX 3ox 4 5 + 3ox30 x S 21 6ooo mm 3 9 50 x 21 6 0 00 o 2 S3 Nm med 27 xox 30 f) t at ust above junckon YA E 1So x 30 x1S = 67500 mm .aboe 9so x 67Soo = O.O16 NAm1 Tat just below Junctidn 9 So x 675D D Thelew = O O79 Nm 27 x106 x 36 At jun ction ^hear stre jumpi fom &ol6 to o o7g N/mmi

Sheor ben variohbn о079 66 о-016 х х о-253