IFS-Civil-Engineering-2003.pdf - li'S-2003 I of'S CIVIL...

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li'S-20 03 I of'S 2 CIVIL ENGINEERING PAPER·I SECTION A Answer any four of ~ t e following: (a) A gladder of length 6m and wcigiJ LJ kN rests agrunsl a smooth verti~'"l wall Us lower end is in Colllacl with smooth Cloor . The ladder is preven ted trom slipping by mea ns of'' 3m long string, wbich connects the ladder ro the junction of the wall and rhe floor. If a man of weight 6 kN stands on one of the steps of the ladder which is 1 .5 m from irs lower end. tind ~ te reactions at the two ends of the ladder and al so the te nsion in rhe string. ( 10) (b) A fiywhe.cl of 1.5 m diametct ·, aecelcratc.s uniformly from rest to 2400 rpm in 24 seconds. Find the linear velo city and linear acceleration of a point on the rim of the fl ywheel, 2 seconds after its stan from rest ( 10) (c\ StateD' Alc.mbert' s principle . .: kN 8kN rtj : 3m•ooo m . "' "xD ... x: ...... ... oc:kN Rougll horizontal -plane The above fig ure shows two weigh ts of 1 kN and 8 kN connected by " 3 nt rope of negl igib le weighL horizontally Tbey move along a rough ho tizo ntal plane under the itttluence of a force of 4 kN acti•1g ott S k'N weighl. f1 = 0,3 at cotttatt surfaces, Find the a~ce l emtion oft hu blocks and the rens1on in lhe rope. UseD' J\lemben's principle. (l 0) (d) A 0.5 m diameter and 100 m loug pipe line car;yi ng 0.5 m ' /s ec discharge is lilted wi th a valve at downstream end Calculate the rise of pressure caused within the plpe due to va lve closure in !i) one second. and (i i) instantaneously. Take sonic velocity as 1430 m/s, (10) (e) Derive an expr esSJon for discharge in terms of 'y' for a recqUlgular cbarutel with bed wid rb eq ual to 2.5 Li mes its d ept11 Take Manning's coeff. n • 0.0125 rutd bed slope of I in 400. (a) (10) Design a lined cannaJ to carry 100m 3 / son a slope of I in 2500, T he maximum permissible velocity is 2 ot is. Manning's n • 0.0 13 an d side slopes arc 1 25 (H)· l(V) (IS) (b) A Stee l pipe of IS em diamet er carries waler at the rate ofJO litres p er second from poim A to B along lhe pipe. the po in t B bei ng 20 nt hi ghor · than poi nt A aud 600 m apa 11 along the pipe If the pressure at B is to be 2.8 kg/cm 2 what pressure must be maintained at A. if the ftic.tion factor for the pipe is 0. 024? (I 0)
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2 o f'S ~c) A fiver stretch 10 km long amt 850 m wi de is L obe modelk'tl fur fi t >Od studies ill a hydraulic labora tory . where the available flume size i ~ of 2m width, 20m length a nd 70 em height. fl is decided to use a depth scale of 10 r fthe peak flood in the river is 3000 cumec at a depth of 6 m. find the suitable horizontal scale-to be adopted for t he construction of 'the model. Maximum available flow is 150 LPS in the laborat ory Thchorizon!Jll sca le shou ld be in multiple of 10 and su ch th at lhe model is as big as possible, Delennine the model dimension. dept.h a nd discharge. Assume tbe hydraulic depllt is same as the depth of flow in both the model and prutotype.
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  • Summer '16
  • Trigraph, Orders of magnitude, Manning

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