Question

(1) The I-section beam about the strong axis is subjected to static load. The section size is shown in the figure without any weakening. The designed bending moment value M=400kN.m and the designed shear value V=550KN. Check whether the strength of the beam at this section meet the requirements. The steel material is Q235B. (Full score is 20) Table 1. Strength design value of steel (N/mm) Steel Tensile, compressive Shear Face pressure and bending resistance resistance Grade Thickness (mm) Q235B) <16 215 125 325 > 16-40 205 500 200 >60-100 20 120 > 40-60 115 190 110 20

Answer 1

bunen i 400 KN-m D M max. limax, - 550 kn 1 1£ * 미 % 500mm h. H lomm. 120mm 200 mm for given and the and bending gerade thickness tensile el comparessive reesistance (A) 205 N/mm² resistance (fel = 120 N/mn and shear Now first required of have section to Calculate modulus the Mman 400 x 10 Sreq'd f 205 3 1.951m

Now pete we have to section modules calculate the section o of Dt is given by s = I ग I is the moment where inertica from of is distance and the ce the noaudral axis :- so, from the modulers calculation for I- section section is gonen S = BH? 3. bhi 6H 6 Sol from the diagram : 2 s = 2000 540 3 190 X 500 6x 540 6 3. 2.389 m. so oreg then urred rection modulus postovided section section. the less modules is of

hence it is Now ginen maka 550 kn una allowable shear eusistance 120N lmm 2 Calculate e Aug Vmax Aw. where Aw Ć web. oy soj Aw - 540X 10 = 5400 mm ². Now 550 X10 yang 101.85 N/mm 5400 here e Aug en max (shear resistance) at so the this strength of the meet beam the section requirements.
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