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Printed Pages: 4 EME302! (Following Paper ID and RoD No. to be filled in your Answer Book)

Roll No. I I I CIIJJIDB.Tech

(SEM III) ODD SEMESTER THEORY EXA.MINATION 2909-10"STRL\GTH or ~1ATERIALS

PAPER 10: 0429

an que ons..i5j-;ymzeo Cll1} dam reql.lred, but not given.

1 Mer:: L;" nO~\ing: lox2=20(2) erial, there are

-. tension andtwo planes at right

--- =.0:; : ~,~_~ gether with shearings:::;;ss.;~- : -: _- -- on the same phmes. If the:- ::;- :: -= ::.:.:.- ~ - ia is increased so that the

- - ~ - K times those given,'ssible value of K if the

:::"::~:::!:::J: - -- --:5 in the material is not tomaximum shear stress is

eter is subjected to aKNm and a maximumKNm. Find the factor ofthe maximum shear stressthe maximum strain

;x-.=~ --=.-_ .- --'" elastic limit in simple. Take ~ =0.3.

(c) Write short notes on any two of the following(i) Castigliano's theorem(ii) Compatibility equations(iii) Three-dimensional stresses.

Attempt any two parts of the following: lox2=20(a) A timber joist of 6 metre span has to carry a

load .of 15 kN/metre. Find the dimensions of thejoist if the maximum permissible stress is limitedto 8 N/mm2. The depth of the joist has to betwice the width. '.

(b) A beam, simply supported at ends A and B ISloaded with two point loads of 60 kN and50 kN at distance 1 metre and" 3 metrerespectively from end A. Determine the positionand magIlitud.e of maximum deflection.Take E = 2 x 105 N/mm2 and I = 8500 cm4.

(c) Find the internal and external diameters requiredfor a hollow shaft, which is t() transmit 40 kWof power at 240 rev/minute. The shear stress isto be limited to 100 MN/rri2. Take outsidediameter to be twice the inside diameter.

Attempt any two parts of the following: lOx2=20(a) A leaf spring has 12 plates each 50 mm wide

and 5 mm thick, the longest plate being 600 mmlong. The greatest bending stress is not to exced180 N/mm2 and the central deflection is 15 mm.Estimate the magnitude of the greatest centralload that can he applied to the spring.E ~ 0.206 x 106 N/mm2.

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H, Take (Jc ~ 567 N/mm2

1/1600.

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(c) Ji'l ()III llil I I I101 III(lid I II

lOX2=20In diameter,

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5 Attempt any two parts (If the following: lOx2=1,O(a) A curved bar of siluare section, 3 cm. sides and

mean radius of curvature 4.5 cm is initially. unstressed. If a ~ellding moment of 300 N-m isapplied to the bar tending to straighten it, findthe stresses at the inner and outer faces.

(b) A 60 mm x 40 mm x 6 mm unequal angle isplaced with the longer leg vertical, and is usedas a beam. It is !;ubjected to a bending momentof 12 kN-cm acting in the vertical plane tlirnughthe centroid of the section. Determine themaximum bending stress induced in the section.

(c) \Vrite short note8 on any two of the following :(i) Centroidal Principal Axes

"

(ii) Assumptions for the theory of curved bea 15(~ii) ~"\.pp!h:;~t~G;.:'f~f~t.l!'.'~;d~bep.ms with lart~e

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