The moment of inertia of a rectangular section of width and depth about an axis passing through C.G. and parallel to its width is (A) BD²/6 (B) BD3 /6 (C) BD3 /12 (D) B²D/6

The moment of inertia of a rectangular section of width and depth about an axis passing 

through C.G. and parallel to its width is 

(A) BD²/6 

(B) BD3

/6 

(C) BD3

/12 

(D) B²D/6 

by

1 Answer

Answer :

(C) BD3

/12 

by

Related questions

Moment of Inertia of triangular section about an axis passing through its base is given by a.bh3/12 b.bh3/32 c.bh3/36 d.None of the above e.Tapered bearing

Description : Moment of Inertia of triangular section about an axis passing through its base is given by a.bh3/12 b.bh3/32 c.bh3/36 d.None of the above e.Tapered bearing

Last Answer : a. bh3/12

The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is a.66.8 cm4 b.137.5 cm4 c.550 cm4 d.33.4 cm4 e.275 cm4

Description : The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is a.66.8 cm4 b.137.5 cm4 c.550 cm4 d.33.4 cm4 e.275 cm4

Last Answer : b. 137.5 cm4

If is the shear force at a section of an I-joist, having web depth and moment of inertia about its neutral axis, the difference between the maximum and mean shear stresses in the web is, (A) Sd²/8I (B) Sd²/12I (C) Sd²/16I(D) Sd²/24I

Description : If is the shear force at a section of an I-joist, having web depth and moment of inertia about its neutral axis, the difference between the maximum and mean shear stresses in the web is, (A) Sd²/8I (B) Sd²/12I (C) Sd²/16I (D) Sd²/24I

Last Answer : (D) Sd²/24I

A 8 metre long simply supported rectangular beam which carries a distributed load 45 kg/m. experiences a maximum fibre stress 160 kg/cm2 . If the moment of inertia of the beam is 640 cm4 , the overall depth of the beam is (A) 10 cm (B) 12 cm (C) 15 cm (D) 18 cm

Description : A 8 metre long simply supported rectangular beam which carries a distributed load 45 kg/m. experiences a maximum fibre stress 160 kg/cm2 . If the moment of inertia of the beam is 640 cm4 , the overall depth of the beam is (A) 10 cm (B) 12 cm (C) 15 cm (D) 18 cm

Last Answer : (A) 10 cm

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

At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by (A) Depth of the section (B) Depth of the neutral axis (C) Maximum tensile stress at the section (D) Maximum compressive stress at the section

Description : At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of  the section by  (A) Depth of the section  (B) Depth of the neutral axis  (C) Maximum tensile stress at the section  (D) Maximum compressive stress at the section

Last Answer : (B) Depth of the neutral axis 

A rectangular bar of width b and height h is being used as a cantilever. The loading is in a plane parallel to the side b. The section modulus is (A) bh3 /12 (B) bh²/6 (C) b²h/6 (D) None of these

Description : A rectangular bar of width b and height h is being used as a cantilever. The loading is in a plane parallel to the side b. The section modulus is (A) bh3 /12 (B) bh²/6 (C) b²h/6 (D) None of these

Last Answer : (C) b²h/6

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

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

The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, and x = Depth of centre of gravity of the immersed surface from the liquid surface) (A) (IG/ ) - (B) (IG/ ) - (C) ( /IG) + (D) (IG/ ) +

Description : The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, ... (IG/ ) - (B) (IG/ ) - (C) ( /IG) + (D) (IG/ ) +

Last Answer : Answer: Option D

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 

Which formula is used to calculate mass moment of inertia (I G ) of a circular rim about the axis through centre of gravity? a. mr 2 /2b. mr 2 /12 c. mr 2 /4 d. mr 2

Description : Which formula is used to calculate mass moment of inertia (I G ) of a circular rim about the axis through centre of gravity? a. mr 2 /2b. mr 2 /12 c. mr 2 /4 d. mr 2

Last Answer : d. mr 2

The section modulus of a rectangular section is proportional to (A) Area of the section (B) Square of the area of the section (C) Product of the area and depth (D) Product of the area and width

Description : The section modulus of a rectangular section is proportional to  (A) Area of the section  (B) Square of the area of the section  (C) Product of the area and depth  (D) Product of the area and width

Last Answer : (A) Area of the section

If the permissible stress in steel in tension is 140 N/mm², then the depth of neutral axis for a singly reinforced rectangular balanced section will be (A) 0.35 d (B) 0.40 d (C) 0.45 d (D) Dependent on grade of concrete also

Description : If the permissible stress in steel in tension is 140 N/mm², then the depth of neutral axis for a singly reinforced rectangular balanced section will be (A) 0.35 d (B) 0.40 d (C) 0.45 d (D) Dependent on grade of concrete also

Last Answer : Answer: Option B

The effective depth of a singly reinforced rectangular beam is 300mm. the section is over-reinforced and the neutral axis is 120mm below the top. If the maximum stress attained by concrete is 5N/mn2 and the modular ratio is 18, then the stress developed in the steel will (a) 130N/mm2 (b) 135N/mm2 (c) 160N/mm2 (d) 180N/mm2

Description : The effective depth of a singly reinforced rectangular beam is 300mm. the section is over-reinforced and the neutral axis is 120mm below the top. If the maximum stress attained by concrete is 5N/mn2 and the modular ratio ... in the steel will (a) 130N/mm2 (b) 135N/mm2 (c) 160N/mm2 (d) 180N/mm2

Last Answer : (b) 135N/mm2

Pick up the correct statement from the following: (A) The moment of inertia is calculated about the axis about which bending takes place (B) If tensile stress is less than axial stress, the section experiences compressive stress (C) If tensile stress is equal to axial stress, the section experiences compressive stress (D) All the above

Description : Pick up the correct statement from the following:  (A) The moment of inertia is calculated about the axis about which bending takes place  (B) If tensile stress is less than axial ... tensile stress is equal to axial stress, the section experiences compressive stress  (D) All the above 

Last Answer : (D) All the above 

The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is (A) 1.0 (B) 1.5 (C) 2.0 (D) 3.0

Description : The ratio of moments of inertia of a triangular section about its base and about a centroidal axis  parallel to its base, is  (A) 1.0  (B) 1.5  (C) 2.0  (D) 3.0 

Last Answer : (D) 3.0 

The section modulus of a rectangular section about an axis through its C.G., is a. b/2 b. d/2 c. bd2/2 d. bd2/6

Description : The section modulus of a rectangular section about an axis through its C.G., is a. b/2 b. d/2 c. bd2/2 d. bd2/6

Last Answer : d. bd2/6

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

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

Regarding the working stress design of under reinforced concrete section, (a) The neutral axis depth will be greater than that of a balanced section. (b) The stress in steel intension will reach its maximum permissible value first. (c) The moment of resistance will be less than that of the balanced section. (d) The concrete on the tension side is also be considered for calculating the moment of resistance of the section.

Description : Regarding the working stress design of under reinforced concrete section, (a) The neutral axis depth will be greater than that of a balanced section. (b) The stress in steel intension will reach ... on the tension side is also be considered for calculating the moment of resistance of the section.

Last Answer : both b&c

The moment of inertia of a triangular section (height h, base b) about its base, is (A) bh²/12 (B) b²h/12 (C) bh3 /12(D) b 3h/12

Description : The moment of inertia of a triangular section (height h, base b) about its base, is  (A) bh²/12  (B) b²h/12  (C) bh3 /12  (D) b 3h/12 

Last Answer : (C) bh3 /12 

A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is (A) (bd²/12) + (B) (d²/12 ) + (C) b²/12 + (D) d²/12 +

Description : A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is (A) (bd²/12) + (B) (d²/12 ) + (C) b²/12 + (D) d²/12 +

Last Answer : Answer: Option B

Polar moment of inertia is a.Applicable to masses whereas moment of inertia is applicable to area only b.The moment of inertia for an area ralative to a line or axis which is out the plane of area c.Same as moment of inertia d.The moment of inertia for an area relative to a line or axis parallel to the centroidal axis e.The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

Description : Polar moment of inertia is a.Applicable to masses whereas moment of inertia is applicable to area only b.The moment of inertia for an area ralative to a line or axis which is out the plane of area ... The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

Last Answer : e. The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

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

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

Calculate the moment of inertia about the axis parallel to welds and shift it to CG by considering thickness of welds t. a) tɜ+2000t b) None of the listed c) 250000 t d) 125000 t

Description : Calculate the moment of inertia about the axis parallel to welds and shift it to CG by considering thickness of welds t. a) tɜ+2000t b) None of the listed c) 250000 t d) 125000 t

Last Answer : c) 250000 t

A beam is a structural member which is subjected to (a) Axial tension or compression (b) Transverse loads and couples (c) Twisting moment (d) No load, but its axis should be horizontal and x-section rectangular or circular

Description : A beam is a structural member which is subjected to (a) Axial tension or compression (b) Transverse loads and couples (c) Twisting moment (d) No load, but its axis should be horizontal and x-section rectangular or circular

Last Answer : b) Transverse loads and couples

The discharge through a channel of rectangular section will be maximum, if (A) Its depth is twice the breadth (B) Its breadth is twice the depth (C) Its depth is thrice the breadth (D) Its breadth is thrice the depth

Description : The discharge through a channel of rectangular section will be maximum, if (A) Its depth is twice the breadth (B) Its breadth is twice the depth (C) Its depth is thrice the breadth (D) Its breadth is thrice the depth

Last Answer : Answer: Option B

The deflection of any rectangular beam simply supported, is (A) Directly proportional to its weight (B) Inversely proportional to its width (C) Inversely proportional to the cube of its depth (D) Directly proportional to the cube of its length

Description : The deflection of any rectangular beam simply supported, is (A) Directly proportional to its weight (B) Inversely proportional to its width (C) Inversely proportional to the cube of its depth (D) Directly proportional to the cube of its length

Last Answer : (C) Inversely proportional to the cube of its depth

A T-beam behaves as a rectangular beam of a width equal to its flange if its neutral axis (A) Remains within the flange (B) Remains below the slab (C) Coincides the geometrical centre of the beam (D) None of these

Description : A T-beam behaves as a rectangular beam of a width equal to its flange if its neutral axis (A) Remains within the flange (B) Remains below the slab (C) Coincides the geometrical centre of the beam (D) None of these

Last Answer : Answer: Option A

For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is (A) 0.303 (B) 0.404 (C) 0.505 (D) 0.707

Description : For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is  (A) 0.303  (B) 0.404  (C) 0.505  (D) 0.707 

Last Answer : (D) 0.707 

For hydraulically efficient rectangular channel of bed width 4.0 m, the depth of flow is (a) 4 m (b) 0.5 m (c) 1 m (d) 2 m

Description : For hydraulically efficient rectangular channel of bed width 4.0 m, the depth of flow is (a) 4 m (b) 0.5 m (c) 1 m (d) 2 m

Last Answer : (d) 2 m

Pick up the incorrect statement from the following. The intensity of horizontal shear stress at the elemental part of a beam section, is directly proportional to (A) Shear force (B) Area of the section (C) Distance of the C.G. of the area from its neutral axis (D) Moment of the beam section about its neutral axis

Description : Pick up the incorrect statement from the following. The intensity of horizontal shear stress at the elemental part of a beam section, is directly proportional to (A) Shear force (B) Area of the section ... . of the area from its neutral axis (D) Moment of the beam section about its neutral axis

Last Answer : Answer: Option D

A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio of (A) 8 (B) 1/8 (C) 1/2 (D) 3

Description : A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the  width of the beam is doubled, the deflection of the free end will be changed in the ratio of  (A) 8  (B) 1/8  (C) 1/2  (D) 3

Last Answer : (C) 1/2 

The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth, is (A) Less than one (B) Equal to one (C) More than one (D) Equal

Description : The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth, is  (A) Less than one  (B) Equal to one  (C) More than one  (D) Equal 

Last Answer : (D) Equal 

The discharge through a channel of trapezoidal section is maximum when (A) Width of channel at the top is equal to twice the width at the bottom (B) Depth of channel is equal to the width at the bottom (C) The sloping side is equal to half the width at the top (D) The sloping side is equal to the width at the bottom

Description : The discharge through a channel of trapezoidal section is maximum when (A) Width of channel at the top is equal to twice the width at the bottom (B) Depth of channel is equal to the width at the bottom ... equal to half the width at the top (D) The sloping side is equal to the width at the bottom

Last Answer : Answer: Option C

An R.C.C. beam of 25 cm width and 50 cm effective depth has a clear span of 6 metres and carries a U.D.L. of 3000 kg/m inclusive of its self weight. If the lever arm constant for the section is 0.865, the maximum intensity of shear stress, is (A) 8.3 kg/cm2 (B) 7.6 kg/cm2 (C) 21.5 kg/cm2 (D) 11.4 kg/cm2

Description : An R.C.C. beam of 25 cm width and 50 cm effective depth has a clear span of 6 metres and carries a U.D.L. of 3000 kg/m inclusive of its self weight. If the lever arm constant for the section is 0.865, the maximum intensity ... , is (A) 8.3 kg/cm2 (B) 7.6 kg/cm2 (C) 21.5 kg/cm2 (D) 11.4 kg/cm2

Last Answer : Answer: Option A

The locus of the moment of inertia about inclined axes to the principal axis, is (A) Straight line (B) Parabola (C) Circle (D) Ellipse

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

In a shaft shear stress intensity at a point is not (A) Directly proportional to the distance from the axis (B) Inversely proportional to the distance from the axis (C) Inversely proportional to the polar moment of inertia (D) Directly proportional to the applied torque

Description : In a shaft shear stress intensity at a point is not (A) Directly proportional to the distance from the axis (B) Inversely proportional to the distance from the axis (C) Inversely proportional to the polar moment of inertia (D) Directly proportional to the applied torque

Last Answer : (B) Inversely proportional to the distance from the axis

For the same height, the bottom width for no tension, (A) For triangular section is more than rectangular section (B) For rectangular section is more than triangular section (C) For triangular section is same as that of a rectangular section (D) None of these

Description : For the same height, the bottom width for no tension,  (A) For triangular section is more than rectangular section  (B) For rectangular section is more than triangular section  (C) For triangular section is same as that of a rectangular section  (D) None of these 

Last Answer : (C) For triangular section is same as that of a rectangular section 

The dimensions of a rectangular settling tank are: length 24 m, width 6 m and depth 3 m. If 2 hour detention period for tanks is recommended, the rate of flow of sewage per hour, is A. 204 cu.m B. 208 cu.m C. 212 cu.m D. 216 cu.m

Description : The dimensions of a rectangular settling tank are: length 24 m, width 6 m and depth 3 m. If 2 hour detention period for tanks is recommended, the rate of flow of sewage per hour, is A. 204 cu.m B. 208 cu.m C. 212 cu.m D. 216 cu.m

Last Answer : ANS: D

The stresses developed in concrete and steel in reinforced concrete beam 25 cm width and 70 cm effective depth, are 62.5 kg/cm2 and 250 kg/cm2 respectively. If m = 15, the depth of its neutral axis is (A) 20 cm (B) 25 cm (C) 30 cm (D) 35 cm

Description : The stresses developed in concrete and steel in reinforced concrete beam 25 cm width and 70 cm effective depth, are 62.5 kg/cm2 and 250 kg/cm2 respectively. If m = 15, the depth of its neutral axis is (A) 20 cm (B) 25 cm (C) 30 cm (D) 35 cm

Last Answer : Answer: Option C

The discharge over a rectangular notch is (where b = Width of notch, and H = Height of liquid, above the sill of the notch) (A) (2/3) Cd × b × gH) (B) (2/3) Cd × b × g) × H (C) (2/3) Cd × b × g) × H 3/2 (D) (2/3) Cd × b × g) × H

Description : The discharge over a rectangular notch is (where b = Width of notch, and H = Height of liquid, above the sill of the notch) (A) (2/3) Cd × b × gH) (B) (2/3) Cd × b × g) × H (C) (2/3) Cd × b × g) × H 3/2 (D) (2/3) Cd × b × g) × H

Last Answer : Answer: Option C

The most economical section of a rectangular channel is one which has hydraulic mean depth or hydraulic radius equal to (A) Half the depth (B) Half the breadth (C) Twice the depth (D) Twice the breadth

Description : The most economical section of a rectangular channel is one which has hydraulic mean depth or hydraulic radius equal to (A) Half the depth (B) Half the breadth (C) Twice the depth (D) Twice the breadth

Last Answer : Answer: Option A

A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. If the modular ratio (m) is 15, the depth of the neutral axis, is (A) 20 cm (B) 25 cm (C) 30 cm (D) 35 cm

Description : A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. If the modular ratio (m) is 15, the depth of the neutral axis, is (A) 20 cm (B) 25 cm (C) 30 cm (D) 35 cm

Last Answer : Answer: Option C

The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is (A) F/A (B) F/2A (C) 3F/2A (D) 2F/3A

Description : The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at  the neutral axis, is  (A) F/A (B) F/2A (C) 3F/2A (D) 2F/3A

Last Answer : (C) 3F/2A

When a rectangular beam is loaded transversely, the maximum compressive stress develops on (A) Bottom fibre (B) Top fibre (C) Neutral axis (D) Every cross-section

Description : When a rectangular beam is loaded transversely, the maximum compressive stress develops on (A) Bottom fibre (B) Top fibre (C) Neutral axis (D) Every cross-section

Last Answer : (B) Top fibre

For a reinforced concrete section, the shape of shear stress diagram is (A) Wholly parabolic (B) Wholly rectangular (C) Parabolic above neutral axis and rectangular below neutral axis (D) Rectangular above neutral axis and parabolic below neutral axis

Description : For a reinforced concrete section, the shape of shear stress diagram is (A) Wholly parabolic (B) Wholly rectangular (C) Parabolic above neutral axis and rectangular below neutral axis (D) Rectangular above neutral axis and parabolic below neutral axis

Last Answer : Answer: Option C

For a reinforced concrete beam section, the shape of shear stress diagram is (a) Parabolic over the whole section with maximum value at the neutral axis. (b) Parabolic above the neutral axis and rectangular below the neutral axis. (c) Linearly varying as the distance form the N.A. (d) All the above.

Description : For a reinforced concrete beam section, the shape of shear stress diagram is (a) Parabolic over the whole section with maximum value at the neutral axis. (b) Parabolic above the neutral axis and rectangular below the neutral axis. (c) Linearly varying as the distance form the N.A. (d) All the above.

Last Answer : (b) Parabolic above the neutral axis and rectangular below the neutral axis.

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

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