Question

A) Determine the shape factor and the Fully Plastic Moment (MP) for the shaded symmetrical hollow rectangular beam section shown below. Assume the yield stress Oy =355 N/mm². B) If two plates of width 250mm and thickness equal to 't' mm is connected (fabricated) at top and bottom (one plate on each side) for the given section, then what is the improvement in the fully plastic moment(M) of the section. C) If this revised fabricated section is now rotated by 90 degrees, what is its effect on the shape factor of the section? Take the value the 't' as equal 80 mm 200mm 100 mm 400mm | 100 mm ( 100 mm

Answer 1

B = 20min 50mm CG ka 25mm 125 mm 148 30 U ta 80mm Zp A, shape factor zy where 7p = EiAy 200x200x 200 x 200 x100*x125-5X 100*x4x60 2x =>7p = 5869837.92 mm3 Now, INA 200140053 12 3 110094-a (u rovo) tas zy 8200 34-400 zy = 40325171625 mm .. Shape foctor = 5869837.92 = 1.456 4032517.625 Mp = Zp afy = 355 *5869837-92 xion Q-350 N/myp ► Mp = 2083.8 kNm

ल teomv 2 - 5869837.92 200mm ने (27(256)(a) fato 139] 200mm + 4. 80mm 2- - 154698 37.92 म M - 3 55x27 - (355) (1546983-792X106) Mp - 519) 792 KNm = Mp is increased by 5491792 -X100 -106 208308 16 3 : 51+.. 'Asymm. 125 125M from नी : K-400mm) 27--22Hb X100x50 + 25x8b x 12. 5. x2 Bxx 106'-- ५४50 - 600 0000mi TNA-2(80) (250) +400 (200) 12 Pand- 3॥ १ . 12 {tmay (2)maya - 400.273 7841-4mmy > TNA

->24 INA 460273784.4 > 125 368 2190.275 share factor 6000 000... 3682190 275 1: 62946 1. Shope factor is increased by 1662946 som
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