Question

Course work problem 3: Designing of the steel beam

To design low carbon rolled steel double T-cross-section beam. For this purpose must be fulfilled:

1. Calculate the shear forces and bending moments Qy and Mx diagrams.

2. Selecting rolled steel in the form of a double T- cross-section standard number from strength condition

3. Calculate the shear stresses in the critical points of cross-section

4. Check the condition of strength points with combined stress state

5. Determine the deflection and the rotation angle of the free end of the beam.

Calculated scheme options and output data are given below

Information about the dimensions of the beam, load and materials

Material Var. Dimensions , m number Load 0.2 MPa 5.0 2.81.512.8 10.3 5.5 185 1.65 4.

Answer 1

5.5 kN/m M 12.8 2.9 m 5.om Rat R19 Moment aboul 3.192 SFD SにD KA x 5-5.5% 2.2 X 1-1 0.423 BMD RA 3.192 KN 匕 SFD Take a SecHon adぺdistance From a RA 2. 8 S-5 5.51-5.5x2.8 3.192- χ= 3.23m

5.5(-2.9M 2.9 CX-2.9 M312 5.5 -2.8) 2 2. at χ: 3.2.3 M.12x3.23 - 5.5 (3.23-2-8) 2- 2

Methoo By Macau 392 (-5 Erd 5.5(x-203 132(-2 Erd 392 (7-53 -3.192-13 Catal- 5.5%-2.0 For AD ad o392( 5)3 5.5 (5-2%)у 3 3-192싯3-25.53|-5-5 ( χ-2.0)4. ЕТу - 392 x-5) 凸 2 3.191x (6 s)8- 25.53 - 5.51342( .3 1.392 2. 4 ЕТУ 222. 930 (KNm3

222.93 8 EI ans 55(7-2.9)3 1.392 (7-5)2 2. -25. 53-5-5(6.5-2.9)3 3.192/6: 5) ET(. 1.392(S 5-5) - 25.53 5 5 (45-2.0)3 : 2 2 67431-25.53-4c43-l.5ςς E I