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nie, , (ii) The shearing stress of a solid shaft is not to exceed, 40N/mm2 when the torque transmitted is 20,000Nm., Determine the minimum diameter of the shaft., , 21. (a) Determine the forces in the various members of the truss as, shown in figure., , 4Z00N, , , , , , lom = ——>, , (Or), , , , (b) Using graphical method, determine the magnitude and nature, of the forces in the members of the truss shown in figure., , 2KN SKN, K«— 3m 3m, E, , IMA/, , k-smi<— Sm A, , 185/573—4, , wo, , b, , Be, , 12., , 13:, , 0., , 1., , 485, , ” April 2017, , Time — Three hours, (Maximum Marks: 75), , IN.B: (1) Answer any FIVE questions in each PART - A and PART - B., Q.No. 8 in PART — A and Q.No. 16 in PART — B are compulsory., , (2) Answer division (a) or division (b) of each question in PART - C., , (3) Each question carries 2 marks in PART - A, 3 marks in Part - B, and 10 marks in PART - C.], , PART -A, Define lateral strain and Poisson's ratio., Define elastic limit and factor of safety., What are the different types of supports?, What do you mean by point of contraflexture?, Define centroid and centre of gravity., What is flexural rigidity? Specify the significances of section modulus., State the difference between perfect frame and imperfect frame., , What are the advantages of graphical method to find the forces of, members in a truss?, , PART - B, , Determine the Poisson’s ratio and bulk modulus of material for which, Young’s modulus is 1.2x105N/mm? and modulus of rigidity is, 4.5 x 10*N/mm?., , Define yield stress, ultimate stress and factor of safety., , Define indeterminacy of beams and what will be the degree of, indeterminacy of fixed beams?, , What will be the maximum bending moment and shear force values, when a simply supported beam of length ‘U subjected to a point load, at its centre?, , Write the expressions for,a moment of inertia of a rectangular, section of bxd about an axis passing through its centroid and its, base., , [Turn over..., , 185/573—1

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14., , TS., , 16., , 17., , 18., , aos, , What will be the strength of a rectangular section of 200mm wide, and 300mm deep, if the bending stress is not to exceed 120N/mmz2 ?, , Explain the steps involved to obtain graphical solution of a perfect, frame., , Define torsional rigidity and strength of shaft., , PART - C, , (a) A steel rod 5m long and 40mm in diameter is subjected to an, axial tensile load of S5OkN. Determine the change in length,, diameter and volume of the rod. Take E = 2.1 x105N/mm? and, Poisson’s ratio=0.30., , (Or), , (b) A round bar as shown in figure is subjected to an axial tensile, load of 100kN. What must be the diameter ‘d’ if the stress is to, be 100MN/m2? Find also the total elongation., Take E= 200GPa., , , , , , , , , , , 100 kN <— 100 kN, , 100 mm 80mm, , 100 mm, , (150mm _y 150 mm_y, , (a) Cantilever beam is loaded as shown in figure. Draw the B.M and, S.F diagrams., 2okNs 2S Sonal, , , , (Or), , (b) Draw SFD and BMD for a simply supported beam with over, hang on one side as shown in figure., , , , , , , , , , , , , , , , 1okU/i9 Boks 1G Ky8 [ro, L TIN, Sm —e— 3 25m A,, , B 25mC 25mD, , 185/573—2, , 19., , 20., , <a, , (a) Find the centroid of a Z-section as shown in figure., , 7, e200, 2 2, of, Boo mn, yj 20., 2omn, , , , , , , , k— 4oo —4, rom, , (Or), , (b) For the I-section shown in figure, Find the moment of inertia, about the centroidal axis XX and YY., , «— 80mm —», , | 20mm, , , , , , , , , , - [120 mm, , me 5 4 |, , —~ se 0, , |, mm, 1, , , , , , , , , , | j 20mm, k———— 160 mm oy, , |, , (a) A steel plate of width 120mm and of thickness 20mm is bent, into a circular arc of radius 10m. Determine the maximum, stress induced and the bending moment which will produce the, maximum stress. Take E = 2 x 10°N/mm?., , (Or), , (b) (i) A solid shaft of 150mm diameter is used to transmit torque., Find the maximum torque transmitted by the shaft, if the, maximum shear stress induced to the shaft is 45N/mmz2., , [Turn over....., , 185/573—3