Description : What is the moment of inertia acting on a rectangle of width 15 mm and depth 40 mm about base by using theorem of parallel axes? a. 320 x 103 mm4 b. 300 x 103 mm4 c. 240 x 103 mm4 d. 80 x 103 mm
Last Answer : a. 320 x 103 mm4
Description : What is the moment of inertia acting on a circle of diameter 50 mm? a. 122.71 x 103 mm4 b. 306.79 x 103 mm4 c. 567.23 x 103 mm4 d. 800 x 103 mm4
Last Answer : b. 306.79 x 103 mm4
Description : Moment of inertia acting on a semi-circle about symmetrical axes is given as _______ a. 1.57 r4 b. 0.055 r4 c. 0.392 r4 d. 0.11 r4
Last Answer : c. 0.392 r4
Description : A column has moment of inertia about X-X and Y-Y axis as follows IXX=4234.4 mm4 IYY=236.3 mm4 This column will buckle about (a) X-X axis (b) Y-Y axis (c) It depends upon the applied load (d) None of these
Last Answer : (b) Y-Y axis
Description : Which of the following relations is used to represent theorem of perpendicular axes? (H = Vertical axis, I = Moment of inertia and K = Radius of gyration) a. IPQ = Ixx + AH2 b. IPQ = Ixx + Ak2 c. Izz = Ixx + Iyy d. Izz + Ixx + Iyy = 0
Last Answer : c. Izz = Ixx + Iyy
Description : Which of the following laminas have same moment of inertia (Ixx = Iyy), when passed through the centroid along x-x and y-y axes? a. Circle b. Semi-circle c. Right angle triangle d. Isosceles triangle
Last Answer : a. Circle
Description : A cantilever of length 3 m carries two point loads of 2 KN at the free end and 4KN at a distance of 1m from the free end .What is the deflection at the free end? Take E= 2×105 N/mm2and I= 108 mm4. a.2.56 mm b.3.84 mm c.1.84 mm d.5.26mm
Last Answer : c.1.84 mm
Description : The slenderness ratio is the ratio of (a) Length of column to least radius of gyration (b) Moment of inertia to area of cross-section (c) Area of cross-section to moment of inertia (d) Least radius of gyration to length of the column
Last Answer : (a) Length of column to least radius of gyration
Description : What is the product of sectional modulus and allowable bending stress called as? a. Moment of inertia b. Moment of rigidity c. Moment of resistance d. Radius of gyration
Last Answer : c. Moment of resistance
Description : The product of the tangential force acting on the shaft and radius of shaft known as (a) Torsional rigidity (b) Flexural rigidity (c) Bending moment (d) Twisting moment
Last Answer : (d) Twisting moment
Description : What is the shear stress acting on the outer surface of a hollow shaft subjected to a torque of 100 Nm?(The inner and outer diameter of the shaft is 15 mm and 30 mm respectively.) a. 50.26 N/mm2 b. 40.24 N/mm2 c. 20.120 N/mm2 d. 8.74 N/mm2
Last Answer : c. 20.120 N/mm2
Description : A uniformly distributed load of 20 kN/m acts on a simply supported beam of rectangular cross section of width 20 mm and depth 60 mm. What is the maximum bending stress acting on the beam of 5m? a. 5030 Mpa b. 5208 Mpa c. 6600 Mpa d. Insufficient data
Last Answer : b. 5208 Mpa
Description : A cantilever of length 3m carries a uniformly distributed load of 15KN/m over a length of 2m from the free end.If I= 108 mm4 and E= 2×105 N/mm2,find the slope at the free end? a.0.00326 rad b.0.00578 rad c.0.00677 rad d.0.00786 rad
Last Answer : a.0.00326 rad
Description : A cantilever of length 2m carries a point load of 30KN at the free end.If I = 108 mm4 and E= 2×105 N/mm2. What is the slope of the cantilever at the free end? a.0.503 rad b.0.677 rad c. 0.003 rad d.0.008
Last Answer : c. 0.003 rad
Description : What is the S.I. unit of sectional modulus? a. mm4 b. mm3 c. mm2 d. m
Last Answer : b. mm3
Description : Determine the maximum shearing stress and elongation in a helical steel spring composed of 20 turns of 20-mm-diameter wire on a mean radius of 90 mm when the spring is supporting a load of 1.5 kN. and G = 83 GPa. a. 200 mm b. 105.4 mm c. 150 mm d. 250 mm
Last Answer : b. 105.4 mm
Description : A solid shaft has diameter 80 mm. It is subjected to a torque of 4 KNm. The maximum shear stress induced in the shaft would be (a) 75/p N/mm2 (b) 250/p N/mm2 (c) 125/p N/mm2 (d) 150/p N/mm2
Last Answer : (c) 125/p N/mm2
Description : What is the maximum shear stress induced in a solid shaft of 50 mm diameter which is subjected to both bending moment and torque of 300 kN.mm and 200 kN.mm respectively? a. 9.11 N/mm2 b. 14.69 N/mm2 c. 16.22 N/mm2 d. 20.98 N/mm2
Last Answer : b. 14.69 N/mm2
Description : A vertical column has two moments of inertia (i.e. Ixx and Iyy ). The column will tend to buckle in the direction of the (a) axis of load (b) perpendicular to the axis of load (c) maximum moment of inertia (d) minimum moment of inertia
Last Answer : (d) minimum moment of inertia
Description : The polar moment of inertia of a hollow shaft of outer diameter (D) and inner diameter (d) is given by. (a)π/16(D3-d3) (b) π/16(D4-d4) (c) π/16(D4-d4) (d) π/16(D4-d4/d)
Last Answer : (b) π/16(D4-d4)
Description : The polar moment of inertia of a solid circular shaft of diameter (d) is (a)πd2/16 (b) πd3/32 (c) πd4/32 (d) πd4/64
Last Answer : (c) πd4/32
Description : Bending stress will be least at the extreme fibres for (a) Maximum area of cross section (b) Maximum moment of inertia (c) Maximum section modulus (d) None
Last Answer : (c) Maximum section modulus
Description : If Ix and Iy are the moments of inertia of a section about X and Y axes, the polar moment of inertia of the section, is (A) (IX + IY)/2 (B) (IX - IY)/2 (C) IX + IY (D) (IX/IY)
Last Answer : (C) IX + I
Description : A square object of 4 mm is subjected to a force of 3000 N. What is the maximum allowable shear stress acting on it? a. 250.14 mm2 b. 281.25 mm2 c. 400.32 mm2 d. 500 mm2
Last Answer : b. 281.25 mm2
Description : What is the shear stress acting along the neutral axis of triangular beam section, with base 60 mm and height 150 mm, when shear force of 30 kN acts? a. 15.36 N/mm2 b. 10.6 N/mm2 c. 8.88 N/mm2 d. Insufficient data
Last Answer : c. 8.88 N/mm2
Description : The relationship among twisting moment(T) acting on a rotating shaft, power in watt(W), and angular velocity in radian per second(w) will be (a) T = W/w (b) W = Tw (c) W = T/w (d) none of these
Last Answer : (b) W = Tw
Description : A sudden jump anywhere on the Bending moment diagram of a beam is caused by (a) Couple acting at that point (b) Couple acting at some other point (c) Concentrated load at the point (d) Uniformly distributed load or Uniformly varying load on the beam
Last Answer : (a) Couple acting at that point
Description : The locus of the moment of inertia about inclined axes to the principal axis, is (A) Straight line (B) Parabola (C) Circle (D) Ellipse
Last Answer : (D) Ellipse
Description : In case of principal axes of a section (A) Sum of moment of inertia is zero (B) Difference of moment inertia is zero (C) Product of moment of inertia is zero (D) None of these
Last Answer : (C) Product of moment of inertia is zero
Description : The length of a wire is increased by 1 mm on the application of a certain load. In a wire of the same material but of twice the length and half the radius, the same force will produce an elongation of (a) 0.5 mm (b) 2 mm (c) 4 mm (d) 8 mm
Last Answer : (d) 8 mm
Description : Calculate the shaft diameter on rigidity basis if torsional moment is 196000N-mm, length of shaft is 1000mm. Permissible angle of twist per meter is 0.5’ and take G=79300N/mm². a) None of the listed b) 41.2mm c) 35.8mm d) 38.8mm
Last Answer : b) 41.2mm
Description : Torque and bending moment of 100 kN.m and 200 kN.m acts on a shaft which has external diameter twice of internal diameter. What is the external diameter of the shaft which is subjected to a maximum shear stress of 90 N/mm2? a. 116.5 mm b. 233.025 mm c. 587.1 mm d. 900 mm
Last Answer : c. 587.1 mm
Description : What is the maximum principle stress induced in a solid shaft of 40 mm diameter which is subjected to both bending moment and torque of 300 kN.mm and 150 kN.mm respectively? a. 21.69 N/mm2 b. 28.1 N/mm2 c. 50.57 N/mm2 d. 52.32 N/mm2
Last Answer : c. 50.57 N/mm2
Description : In cyclotron for a given magnet radius of the semicircle traced by positive ion is directly proportional to (where v= velocity of positive ion)
Last Answer : In cyclotron for a given magnet radius of the semicircle traced by positive ion is directly proportional to (where v= ... 1)` C. `v` D. `v^(2)`
Description : A spring of stiffness 100 N/mm used in a spring-loaded safety valve of diameter 20 mm on a boiler with the pressure inside the boiler equal to 1 MPa should be initially compressed by a. 5mm b. 3.14 mm c. 2mm d. 6.28 mm
Last Answer : b. 3.14 mm
Description : Compute the maximum shearing stress developed in a phosphor bronze spring having mean diameter of 200 mm and consisting of 24 turns of 20-mm diameter wire when the spring is stretched 100 mm. and G = 42 GPa. a. 51 MPa b. 31.89 MPa c. 80 MPa d. 70 MPa
Last Answer : b. 31.89 MPa
Description : A helical spring is fabricated by wrapping wire 19.05 mm in diameter around a forming cylinder 203.2 mm in diameter. Compute the number of turns required to permit an elongation of 101.6 mm. without exceeding a shearing ... G = 82737 N/mm2. a. 10 turns b. 20 turns c. 25 turns d. 30 turns
Last Answer : a. 10 turns
Description : A close-coiled helical spring of stiffness 30 N/mm is arranged in series with another such spring of stiffness 60 N/mm. The stiffness of composite unit is (a) 20 N/mm (b) 30 N/mm (c) 45 N/mm (d) 90 N/mm
Last Answer : (a) 20 N/mm
Description : A simply supported beam carries uniformly distributed load of 20 kN/m over the length of 5 m. If flexural rigidity is 30000 kN.m2, what is the maximum deflection in the beam? a. 5.4 mm b. 1.08 mm c. 6.2 mm d. 8.6 mm
Last Answer : a. 5.4 mm
Description : A shaft turns at 150 rpm under a torque of 1500 N-m. Power transmitted is (a) 15p kW (b) 10p kW (c) 7.5p kW (d) 5p kW (IES 1999) Hint: P = 2pNT/60
Last Answer : (c) 7.5p kW
Description : The torque acting on a system is zero. Which of the following will be conserved? a.Angular velocity b.Linear momentum c.107 dynes d.Angular momentum e.Moment of inertia
Last Answer : d. Angular momentum
Description : M L2 T–2 is the dimensional formula for (a) Moment of inertia (b) Pressure (c) Elasticity (d) Couple acting on a body
Last Answer : Ans:(d)
Description : A column said to be under uniaxial bending, when the eccentricity is [ A ] with respect to one axis only [ B ] with respect to two axes [ C ] zero [ D ] 20 mm
Last Answer : [ A ] with respect to one axis only
Description : A circular shaft subjected to torsion undergoes a twist of 10in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2and if modulus of rigidity G = 0.8 x 106then the radius of the shaft should be (a) p/8 (b) p/27 (c) 18/p (d) 27/p
Last Answer : (d) 27/p
Description : The moment of inertia of a solid sphere of radius r is a.Mr2 b.1/8 Mr2 c.2/3 Mr2 d.m4 e.1/2 Mr2
Last Answer : a. Mr2
Description : The moment of inertia of a semi-circle of radius r with respect to a centroidal axis parallel to the diameter is a.0.33 r2 b.0.11 r2 c.0.055 r2 d.0.05 r2 e.0.22 r2
Last Answer : b. 0.11 r2
Description : Increasing which of the following factor would result in increase of free torsional vibration? A. Radius of gyration B. Mass moment of inertia C. Polar moment of inertia D. Length
Last Answer : C. Polar moment of inertia
Description : Increasing which of the following factor would result in increase of free torsional vibration? a) Radius of gyration b) Mass moment of inertiac) Polar moment of inertia d) Length
Last Answer : c) Polar moment of inertia
Description : If M, I, R, E, F, and Y are the bending moment, moment of inertia, radius of curvature, modulus of elasticity stress and the depth of the neutral axis at section, then (A) M/I = R/E = F/Y (B) I/M = R/E = F/Y (C) M/I = E/R = E/Y (D) M/I = E/R = Y/F
Last Answer : (C) M/I = E/R = E/Y
Description : The radius of gyration of a rectangular section is not proportional to (A) Square root of the moment of inertia (B) Square root of the inverse of the area (C) Square root of the moment of inertia divided by area of the section (D) None of these
Last Answer : (D) None of these