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A composite circular shaft is comprised of a steel core surrounded by an aluminum annulus, perfectly bonded to each other as shown in the fi gure. If it subjected to a pure torque, which one of the following statements is TRUE? GATE-1 AnswerA motor is driving a solid circular steel shaft transmits 40kW of power at 500 rpm. If the diameter of the shaft is 40 mm, The maximum shear stress in the shaft is ____ MPa. 1 AnswerA shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress isGate-20161 AnswerA solid circular shaft is designed to transmit a torque T with a factor of safety of 2. It is proposed to replace the solid shaft by a hollow shaft of the same material and identical outer radius. If the inner radius is half the outer radius, the factor of safety for the hollow shaft is _____ (round off to 1 decimal place).0 AnswerA thin-walled tube, with the cross-section shown in the figure, is subjected to a torque of T = 1 kN-m. The walls have uniform thickness t = 1 mm and shear modulus G = 26 GPa. Assume that the curved portion is semi-circular. The shear stress in the wall is _____ MPa (round off to 1 decimal place).0 AnswerA hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is ________ (correct to two decimal places).1 AnswerA circular steel bar of diameter 10 mm is bent into the shape as shown in figure, and lies in x-z plane. A horizontal force P is applied along the positive z-direction as shown. The yield strength of the steel is 200 MPa. Neglecting the effect of transverse shear, the load P (in Newton) required to initiate yielding as per maximum shear stress theory of failure is............[up to two decimal places]0 AnswerA tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform circular rod of diameter 10 mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, E = 2x105 MPa. When subjected to a load P = 30π kN, the deflection at point A is _______________ mm. - gate civil 2017 1 AnswerThe channel section of uniform thickness 2mm shown in the figure is subjected to a torque of 10 Nm. If it is made of a material with shear m odulus of 25 GPa, the twist per unit length in radians/m is? GATE1 AnswerThe slip of an induction motor normally does not depend on -Electrical Engineering-gate-20121 AnswerA bimetallic cylindrical bar of cross sectional area 1 m2 is made by bonding Steel and Aluminium as shown in the figure. To maintain tensile axial strain of magnitude 6 10 in Steel bar and compressive axial strain of magnitude 6 10 in Aluminum bar, the magnitude of the required force P (in kN) along the indicated direction is (Gate 2018 Mechanical engineering)0 AnswerFor the following statements: P – The lateral stress in the soil while being tested in an oedometer is always at-rest. Q – For a perfectly rigid strip footing at deeper depths in a sand deposit, the vertical normal contact stress at the footing edge is greater than that at its centre. R – The corrections for overburden pressure and dilatancy are not applied to measured SPT-N values in case of clay deposits.0 AnswerA unidirectionally aligned carbon fibre reinforced epoxy composite is loaded as shown in the figure. The volume fraction of the fibre is 0.6. The Young’s modulus of the composite is ____________ GPa.0 AnswerA continuous and aligned carbon-fiber composite consists of 25 vol. % of fibers in an epoxy matrix. The Young’s modulus of fiber and matrix, respectively are Ef = 250 GPa and Em = 2.5 GPa. If the composite is subjected to longitudinal loading (iso-strain condition and assuming elastic response), the fraction of load borne by the reinforcement is ________ (to two decimal places) . Gate-2018-General-Aptitude0 AnswerA solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown in the figure. (GATE 2018 2civil engg)0 AnswerA circular shaft having diameter 65.00−0.05 +0.01 mm is manufactured by turning process. A 50 μm thick coating of TiN is deposited on the shaft. Allowed variation in TiN film thickness is ± 5 μm. The minimum hole diameter (in mm) to just provide clearance fit is0 AnswerConsider the following statements : Which of the following statements is/are correct ? Statement (I) : Long chain polymers are weaker than most ceramics and metals. Statement (II) : The molecular chains in long chain polymers are bonded to each other with Van der Waals bonds.0 AnswerA frictionless gear train is shown in the figure. The leftmost 12-teeth gear is given a torque of 100 N-m. The output torque from the 60-teeth gear on the right in N-m is (Gate 2018 Mechanical engineering)0 AnswerA spherical pressure vessel (made of mild steel) of internal diameter 500 mm and thickness 10 mm is subjected to an internal gauge pressure of 4000 kPa. If the yield stress of mild steel is 200 MPa, the factor of safety (up to one decimal place) is ______0 AnswerConsider the following statements : Which of the following statements is/are correct ? Statement (I) : Lifts and external staircases are provided with access from the lobby area of each floor in multistorey blocks. The external staircase must be accessible through selfclosing, 180 degree - swing unlocked doors (with provision for locking at appropriate conditions). Statement (II) : Such staircases should not be inadvertently subjected to spreading of smoke, but must yet provide unhindered exit from the lobby of each floor.0 Answer
VTU SYLLABUS 2010 STRENGTH OF MATERIALS (COMMON TO CV/TR/EV/CTM) [10CV33] Engineering.CE2352 DESIGN OF STEEL STRUCTURESCE 2042 STORAGE STRUCTURES10me34 Mechanics of materialsCE 2405 COMPUTER AIDED DESIGN & DRAFTING LABORATORY CE 2404 PRESTRESSED CONCRETE STRUCTURECE2201 MECHANICS OF SOLIDSDigital Light ProcessingCE 2048 INDUSTRIAL STRUCTURESEC - Electronics and Communication Engineering