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+35.25=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+35.25=0
BM at A =0 Bm at B 1.5x2.25= 3.375
Bm at c (3x2.25)+(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(150136.071)^2+(15x150^3/12)+15x150x(136.07175)^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
