Question

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4. A simply supported beam is given below. A movable (crane) concentrated load of 50kips may be placed anywhere along the span, in addition to a uniform live load of 2 kips/ft. Select a W-section for the beam if lateral support is provided only at the beam supports. Hint: make use of influence lines to determine where to place the live loads. You may ignore beam self weight. Steel is A992. 30'

Answer 1

Ilive load : 2 kipfft onc load : 50 kips 30 il Draw when influence line diagram unit load is within AB - Efn = 0 I HA =0 Ify someone RA+ RB = 1 I MB=0 et RAX 30 - 14(30-) = 0 > > N Rt 30-0 zo 명 R 등

Date: Page: alat Mae 30–22) L 30 Mman = 15x15, 30 when amit load is in at 20=153 BD ETKY EMB=0 ta RAX 30 + 1x420 IRR = (1+x) FRA+RB = 1 kant Ma = RA ( 30+ut 7 RBX - -X 30+8) + ( 3072J x = 30 307 7.5 c al For masimum moneef place conc load ate land live lood on AB mes a 50x7.5+ 3X30X75X2 600 kNm.

Date: Page:- For A 992 Tallowable = so ksi M : - Goo kelm = 5310.45 kipincha we know M: moment I: moment of inertia si normal smess 2 : section modules z = 5310.45 = 106.209 inch? 50 ired W-section - w 24855 2 =114 in