Along with the expression define radius of gyration and sectional modulus.

Along with the expression define radius of gyration and sectional modulus.
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Answer :

Radius of gyration (K): The radius of gyration of a given area about any axis is the distance from the given axis at which the area is assumed to be concentrated without changing the MI about the given axis. 

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Sectional Modulus (Z): It is the ratio of moment of inertia to the distance of extreme fiber from neutral axis.

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Related questions

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

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

The ratio of the effective length of a column and minimum radius of gyration of its cross-sectional area, is known (A) Buckling factor (B) Slenderness ratio (C) Crippling factor (D) None of these

Description : The ratio of the effective length of a column and minimum radius of gyration of its cross-sectional area, is known (A) Buckling factor (B) Slenderness ratio (C) Crippling factor (D) None of these

Last Answer : (B) Slenderness ratio

A column is said to be a short column, when (a) its length is very small (b) its cross-sectional area is small (c) the ratio of its length to the least radhis of gyration is less than 80 (d) the ratio of its length to the least radius of gyration is more than 80

Description : A column is said to be a short column, when (a) its length is very small (b) its cross-sectional area is small (c) the ratio of its length to the least radhis of gyration is less than 80 (d) the ratio of its length to the least radius of gyration is more than 80

Last Answer : (c) the ratio of its length to the least radhis of gyration is less than 80

Define: (i) Moment of Inertia (ii) Radius of Gyration

Description : Define: (i) Moment of Inertia (ii) Radius of Gyration

Last Answer : i) Moment of Inertia: Moment of Inertia of a body about any axis is equal to the product of the area of the body and square of the distance of its centroid from that axis.  OR  Moment of ... at which the entire area is assumed to be concentrated without changing the M. I. about the given axis. 

Define ‘radius of gyration’ and state its application. Calculate radius of gyration for circular lamina of diameter 500mm.

Description : Define ‘radius of gyration’ and state its application. Calculate radius of gyration for circular lamina of diameter 500mm.

Last Answer : Data: d = 500mm Calculate: K Radius of gyration (K): The radius of gyration of a given area about any axis is the distance from the given axis at which the area is assumed to be ... Application: It is used in Euler's formula to determine buckling load on long column. 

The radius of gyration of a solid sphere of radius r is equal to a.0.8 r2 b.0.2 r2 c.0.3 r2 d.0.4 r2 e.0.5 r2

Description : The radius of gyration of a solid sphere of radius r is equal to a.0.8 r2 b.0.2 r2 c.0.3 r2 d.0.4 r2 e.0.5 r2

Last Answer : d. 0.4 r2

A couple applied to a flywheel of mass 5 kg and of radius of gyration 20 cm produces an angular acceleration of 4 radians/sec2. The torque applied in dyne cm is a.8 x 104 b.8 x 106 c.8 x 107 d.8 x 108 e.8 x 1010

Description : A couple applied to a flywheel of mass 5 kg and of radius of gyration 20 cm produces an angular acceleration of 4 radians/sec2. The torque applied in dyne cm is a.8 x 104 b.8 x 106 c.8 x 107 d.8 x 108 e.8 x 1010

Last Answer : b. 8 x 106

A flywheel weighs 400 kg and has a radius of gyration of 30 cm about its axis of rotation. It is mounted on a shaft subjected to a moment of 40 kgm. If the flywheel starts from restits speed after 3 seconds wil be a.10.9 rad/sec b.19.0 rad/sec c.51.2 rad/sec d.3.33 rad/sec e.16.35 rad/sec

Description : A flywheel weighs 400 kg and has a radius of gyration of 30 cm about its axis of rotation. It is mounted on a shaft subjected to a moment of 40 kgm. If the flywheel starts from restits speed after 3 seconds wil be a.10.9 rad/sec b.19.0 rad/sec c.51.2 rad/sec d.3.33 rad/sec e.16.35 rad/sec

Last Answer : d. 3.33 rad/sec

A 100 kg flywheel having a radius of gyration of 1 m is rotating at 1000 rpm. The angular momentum of the flywheel about its axis of rotation, in kg m2/s is a.1000 b.107 dynes c.10000 d.10470 e.5235

Description : A 100 kg flywheel having a radius of gyration of 1 m is rotating at 1000 rpm. The angular momentum of the flywheel about its axis of rotation, in kg m2/s is a.1000 b.107 dynes c.10000 d.10470 e.5235

Last Answer : d. 10470

The radius of Gyration (k) for Rim Type Flywheel having radius ‘r’ is given by 1. k = 2r 2. k = r/2 3. k = r 4. k = r/3

Description : The radius of Gyration (k) for Rim Type Flywheel having radius ‘r’ is given by 1. k = 2r 2. k = r/2 3. k = r 4. k = r/3

Last Answer : 3. k = r

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

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

f radius of gyration increases then the torsional free vibration increases. a) True b) False

Description : f radius of gyration increases then the torsional free vibration increases. a) True b) False

Last Answer : b) False

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

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

Slenderness ratio of a long column, is (A) Area of cross-section divided by radius of gyration (B) Area of cross-section divided by least radius of gyration (C) Radius of gyration divided by area of cross-section (D) Length of column divided by least radius of gyration

Description : Slenderness ratio of a long column, is  (A) Area of cross-section divided by radius of gyration  (B) Area of cross-section divided by least radius of gyration  (C) Radius of gyration divided by area of cross-section  (D) Length of column divided by least radius of gyration 

Last Answer : (D) Length of column divided by least radius of gyration 

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

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 

The meatcentric height of a ship is 0.6 m and the radius of gyration is 4 m. The time of rolling of a ship is (A) 4.1 s (B) 5.2 s (C) 10.4 s (D) 14.1 s

Description : The meatcentric height of a ship is 0.6 m and the radius of gyration is 4 m. The time of rolling of a ship is (A) 4.1 s (B) 5.2 s (C) 10.4 s (D) 14.1 s

Last Answer : Answer: Option C

The ratio of the effective length of a column and minimum radius of gyration of its cross sectionalarea, is known (a) Buckling factor (b) Slenderness ratio (c) Crippling factor (d) None of these

Description : The ratio of the effective length of a column and minimum radius of gyration of its cross sectionalarea, is known (a) Buckling factor (b) Slenderness ratio (c) Crippling factor (d) None of these

Last Answer : (b) Slenderness ratio

Compression members always tend to buckle in the direction of (a) Vertical axis (b) Horizontal axis (c) Minimum cross-section (d) Least radius of gyration

Description : Compression members always tend to buckle in the direction of (a) Vertical axis (b) Horizontal axis (c) Minimum cross-section (d) Least radius of gyration

Last Answer : (d) Least radius of gyration

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

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

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

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

Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, under a concentrated load W at its free end, is (A) (2/3) (WL/AG) (B) (1/3) (WL²/EIA) (C) (3/2) (WL/AG)(D) (3/2) (WL²/AG

Description : Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, under a concentrated load W at its free end, is (A) (2/3) (WL/AG) (B) (1/3) (WL²/EIA) (C) (3/2) (WL/AG) (D) (3/2) (WL²/AG

Last Answer : (C) (3/2) (WL/AG

Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, subjected to w/m u.d.l., is (A) (3/4) (L²w/GA) (B) (3/2) (L²w/GA) (C) (2/3) (L3w/GA) (D) (3/2) (Lw/GA²)

Description : Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, subjected to w/m u.d.l., is (A) (3/4) (L²w/GA) (B) (3/2) (L²w/GA) (C) (2/3) (L3w/GA) (D) (3/2) (Lw/GA²)

Last Answer : (A) (3/4) (L²w/GA)

is the pre-stressed force applied to the tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The maximum stress in the beam, subjected to a maximum bending moment , is (A) f = (P/A) + (Z/M) (B) f = (A/P) + (M/Z) (C) f = (P/A) + (M/Z) (D) f = (P/A) + (M/6Z)

Description : is the pre-stressed force applied to the tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The maximum stress in the beam, subjected to a maximum bending moment , is (A) f = (P/A) + (Z/M) ... ) + (M/Z) (C) f = (P/A) + (M/Z) (D) f = (P/A) + (M/6Z)

Last Answer : Answer: Option C

If the tendon is placed at an eccentricity e below the centroidal axis of the longitudinal axis of a rectangular beam (sectional modulus Z and stressed load P in tendon) the stress at the extreme top edge (A) Is increased by PZ/e (B) Is increased by Pe/Z (C) Is decreased by Pe/Z (D) Remains unchanged

Description : If the tendon is placed at an eccentricity e below the centroidal axis of the longitudinal axis of a rectangular beam (sectional modulus Z and stressed load P in tendon) the stress at the extreme top edge (A) Is ... by PZ/e (B) Is increased by Pe/Z (C) Is decreased by Pe/Z (D) Remains unchanged

Last Answer : Answer: Option C

is the pre-stressed force applied to tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The minimum stress on the beam subjected to a maximum bending moment is (A) f = (P/A) - (Z/M) (B) f = (A/P) - (M/Z) (C) f = (P/A) - (M/Z) (D) f = (P/A) - (M/6Z)

Description : is the pre-stressed force applied to tendon of a rectangular pre-stressed beam whose area of cross section is and sectional modulus is . The minimum stress on the beam subjected to a maximum bending moment is (A) f = (P/A) - (Z/M) (B) f = (A/P) - (M/Z) (C) f = (P/A) - (M/Z) (D) f = (P/A) - (M/6Z)

Last Answer : Answer: Option C

What is the S.I. unit of sectional modulus? a. mm4 b. mm3 c. mm2 d. m

Description : What is the S.I. unit of sectional modulus? a. mm4 b. mm3 c. mm2 d. m

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The Modulus of Elasticity for a material refers to: w) the ability of a material to resist corrosion x) the ratio of stress over strain y) the maximum load over the cross sectional area z) none of the above

Description : The Modulus of Elasticity for a material refers to: w) the ability of a material to resist corrosion x) the ratio of stress over strain y) the maximum load over the cross sectional area z) none of the above

Last Answer : ANSWER: X -- THE RATIO OF STRESS OVER STRAIN

Giving expression, define shear modulus.

Description : Giving expression, define shear modulus.

Last Answer : Shear modulus is defined as when a body is loaded within elastic limit the ratio of shear stress to shear strain is constant. 

Hydraulic mean radius is A. Mean radius of sewer B. Difference in heads between two points in circular pipes C. Mean of radii in a pipe line of varying cross -sections D. Cross-sectional area/wetted perimeter

Description : Hydraulic mean radius is A. Mean radius of sewer B. Difference in heads between two points in circular pipes C. Mean of radii in a pipe line of varying cross -sections D. Cross-sectional area/wetted perimeter

Last Answer : ANS: D

In a shaft, the shear stress is not directly proportional to (A) Radius of the shaft (B) Angle of twist (C) Length of the shaft (D) Modulus of rigidity

Description : In a shaft, the shear stress is not directly proportional to  (A) Radius of the shaft  (B) Angle of twist  (C) Length of the shaft  (D) Modulus of rigidity

Last Answer : (C) Length of the shaft

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

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

An open-ended cylinder of radius and thickness is subjected to internal pressure . The Young's modulus for the material is and Poisson's ratio is . The longitudinal strain is (A) Zero (B) pr/TE (C) pr/2TE (D) None of these

Description : An open-ended cylinder of radius and thickness is subjected to internal pressure . The Young's modulus for the material is and Poisson's ratio is . The longitudinal strain is (A) Zero (B) pr/TE (C) pr/2TE (D) None of these

Last Answer : (A) Zero

A closely coiled helical spring of radius R, contains n turns and is subjected to an axial load W. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the deflection of the coil is (A) WR3n/Cr4 (B) 2WR3n/Cr4 (C) 3WR3n/Cr4 (D) 4WR3n/Cr

Description : A closely coiled helical spring of radius R, contains n turns and is subjected to an axial load W. If  the radius of the coil wire is r and modulus of rigidity of the coil material is C, the deflection of the  coil is  (A) WR3n/Cr4 (B) 2WR3n/Cr4 (C) 3WR3n/Cr4 (D) 4WR3n/Cr

Last Answer : (D) 4WR3n/Cr

A closely coiled helical spring of radius R, contains n turns and is subjected to an axial loadW. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the stress developed in the helical spring is (A) WR/ 3 (B) 2WR/ 3 (C) 2WR/ 2 (D) 4WR/ 2

Description : A closely coiled helical spring of radius R, contains n turns and is subjected to an axial loadW. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the stress developed in the helical spring is (A) WR/ 3 (B) 2WR/ 3 (C) 2WR/ 2 (D) 4WR/ 2

Last Answer : (B) 2WR/ 3

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

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

Draw a diagrammatic sectional view of human ovary showing different stages of oogenesis along with corpus luteum. (ii) Where is morula formed in human? Explain the process of its development from zygote. -Biology

Description : Draw a diagrammatic sectional view of human ovary showing different stages of oogenesis along with corpus luteum. (ii) Where is morula formed in human? Explain the process of its development from zygote. -Biology

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Which of the following statements is incorrect? (A) Minimum cross sectional area of longitudinal reinforcement in a column is 0.8% (B) Spacing of longitudinal bars measured along the periphery of column should not exceed 300 mm (C) Reinforcing bars in a column should not be less than 12 mm in diameter (D) The number of longitudinal bars provided in a circular column should not be less than four

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Last Answer : Answer: Option D

Along with expression, define slenderness ration.

Description : Along with expression, define slenderness ration.

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Define section modulus and neutral axis.

Description : Define section modulus and neutral axis.

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Define and explain Bulk Modulus.

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Define modulus of rigidity and bulk Modulus.

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An object is placed `50 cm` from the surface of a glass sphere of radius `10 cm` along the diameter. Where will the final image be formed after refrac

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A major characteristic of monocot root is the presence of (a) vasculature without cambium (b) cambium sandwiched between phloem and xylem along the radius (c) open vascular bundles (d) scattered vascular bundles

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Last Answer : (a) vasculature without cambium