Physics Help Forum Tee section beam compressive and tensile stresses problem

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 Dec 3rd 2009, 12:29 PM #1 Junior Member   Join Date: Oct 2009 Posts: 4 Tee section beam compressive and tensile stresses problem Hi, i have the following problem to solve. Any assistance would be greatly appreciated. A tee section beam (T) is rigidly built into a wall at one end to produce a horizontal cantilever beam. The tee section is 100mm wide at the top, has an overall vertical height of 150mm and has a uniform secton thickness of 15mm. The beam protrudes from the wall a distance of of 3m. Concentrated loads of 3 kn and 4.5kn are applied at the free end and at the mid point respectively. Assuming the modulas of elasticity for steel is 210 GN/m^2 determine A. The max compressive and tensile stresses in the beam.. B. The resulting radius of curvature of the beam.. This is what i have so far, please advise if this is the correct way to tackle this problem.... Taking moments about R1 :- (1.5x4.5)+(3x3)-3R2=0 5.25KN=R2 R1=4.5+3-5.25=2.25 KN Then i have calculated shear forces and beam moments I get SF at A = -2.25 SF at B = -2.25 +4.5=2.5 SF at C = 2.25+3-5.25=0 BM at A =0 Bm at B 1.5x-2.25= -3.375 Bm at c (3x-2.25)+(1.5x4.5)+(3x0)-(5.25x0)=0 MAx BM therefore = -3.375 KN/m Next i have calculated y' (y bar) (3000x15x142.5)+(150x15x7.5)=y'(3000x15)+(150x15) 6429375=y'(47250) y'=136.071 mm Next i have calulated Ixx by use of the parallel axis therom of rectangle Ixx=bd^3/12 (3000x15^3/12)+(3000x15x(150-136.071)^2+(15x150^3/12)+15x150x(136.071-75)^2 =17397759.27mm^4 17.398m^4 Is this the correct way to proceed with this porblem!!! Then i have the formula M/I=E/R=O/Y I'm required to find O so through transposition O=MY/I

 Tags beam, compressive, problem, section, stresses, tee, tensile

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