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Trawny Revey Cibasatia: With Ue Sinopss—Résumé—Zurommenfossung Propiedades de los Meteras de Comento Modiiados dn Pstymer nalysis of Circular and Annular Slabs for Chimney Foundations By KUANGHAN CHU and OMAR F. AFAND! ‘eco nnd vie 7 dt to ie lpia ‘men maar bard onthe simone end hit Rint ramen are, eo ccna tempo) at eater Won pat nen ey ely ai ta ere ‘aS tab fh fas Reel for some piece ae Pee ariel Geir senlinco wore det naarenle ove Ml edn Se ie a urns a ‘Key or esi; Sin design Fundins: sab ter de ciment pat sion de nde palma Sacro. Gece aaeoe See ee ees Seats ieee one ‘Tesco! aver meer # sin Tar nea on cecotan cannes rovia\riow tags was discussed by eth and Zee" Ther euten conte of superimpeing sway =3t- evel ring lade ‘and uniform lod on abe sply supported slong fee edges Tae uppench ie heorllcally correct ony if (a) the lads fo Strbted somecialiysboxt the aie porpeniculr to the slab fea pening theough te center, (0) the sad i sively supported & fe Gamency For ale subjected to Uneeiy verging function pret re thts method tough feet ie net thecrotsly juste ‘The purpose a hl por it prtortavtinal thd of analysing eimecyoundation sake Both ccglsy snd annular slabs are com decd The founcalin presse learned tobe varying linessy fom pat = Oto ps at dm 160 GaQOAW S10). Nether py noe > eam Be Pegrfex ‘Toes theorebcaliys dbp tle Se nppieblo to the sabe fois cther pr orp equal trae (Pig. t5) But wot to sake with 20 Foundation peemora quer any poron th sab (Pg. 1). Diclies fr aotinng the algal olution prevent the saaleration of the fer ewe Heygipe the solution presated herein cay be appied fepcxinaielp (i fn which small erative oundsion preze Eigenichaten ven Zementmrteln, die ene Falymeremulsion ent SS coe a ee eee eS Sea cl ae Spiess os SOL aie oe are Plupported alang a circle atthe center line of the ehtmney (Sign conditions are saaldorods (a) if the wall stein Sidy cet te unblanced snament between the iad and Eon beach Se ib gue to be of constant thickneas and the analysis i te eae thory of thin pte, A stelar sal is eanidered 52 ling case of ap annular lab ro, Hee, oly tke snlges of ann 1 the Somer sai reduce fo ‘labs wil be presented "Por convenience of sone sud that varie linearly betwee Pad sate of whith iv negtive, ray be considered ar conaing a to + FIA" unity aatbatedlond mand, due fo external moment {Ebert varying oud having maximum ttanatee = p and sao neniy longs Sameter The selutions betwoon fy By Pith Pao gen bf ‘ho following equations: or praccal ure and to get some general idea of the variation moments and thets in szelar end anlar (GENERAL EQUATIONS. ‘he ditrentil equation for & clsala plate of conetant thiknese je Hee EE jee ‘The postive croton of the moments and shanrs in the slab are acim mn Pig'2 Tho values ofthe momenta shen, cod veons At ‘ces pe ni eng oe (Bs kB mab ket “The torsional moment per nit length i ich Ae Ay By Buy Cys Cy and Dy De are abit INULAR SLABS SUPFORTED AROUND A CIRCLE AND SUBJECTED SSUORGESRia URUARS “SSeS NSU” cider sn anna la of ner radius ad outer reas a mb 10 unform net foundation prerive 9, and superied by the sey wall x racan 6 (Fig. 3). Since the load & independent of ie by (0), (13),and 3) ays spam (LS eu is, trom Bq, @) with g a= -9 Bu) oe aaa ano Fu o ony ‘The testion forse in the rail dection, pe unit length of eum oe @ “The general solution of Eq. (2) & alven by sbtrting Be, (4) to (16) t» Ba. (1), one obtains forthe inner whore ina prcla slain an i luton of the homegencs aro ‘The homomneoss equation has 4 gnmrlasaton of the follwing : (ite) i inn etd, Recmemet Be eo ha tone Om) where ay Re Re, RE ae fnctions of only a= ce Rhys Kad ane antany constants wie wl be

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