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

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

by

1 Answer

Answer :

(C) M/I = E/R = E/Y

by

Related questions

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 

If Z and I are the section modulus and moment of inertia of the section, the shear force F and bending moment M at a section are related by (A) F = My/I (B) F = M/Z (C) F = dM/dx (D) F Mdx

Description : If Z and I are the section modulus and moment of inertia of the section, the shear force F and bending moment M at a section are related by (A) F = My/I (B) F = M/Z (C) F = dM/dx (D) F Mdx

Last Answer : (C) F = dM/dx

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

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 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

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

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

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

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

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Last Answer : (D) All the above 

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.

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Last Answer : both b&c

Euler's formula states that the buckling load for a column of length , both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are and respectively, is given by the relation (A) P = ²EI/l² (B) P = /EI (C) P = /l² (D) P = ²EI/l

Description : Euler's formula states that the buckling load for a column of length , both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are and respectively, is given by the relation (A) P = ²EI/l² (B) P = /EI (C) P = /l² (D) P = ²EI/l

Last Answer : (A) P = ²EI/l²

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

Description : 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 

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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 bending stress in a section is zero at its neutral axis and maximum at the outer fibres (B) The shear stress is zero at the outer fibres and maximum at the neutral axis (C) The bending stress at the outer fibres, is known as principal stress (D) All the above

Description : Pick up the correct statement from the following:  (A) The bending stress in a section is zero at its neutral axis and maximum at the outer fibres  (B) The shear stress is zero at the outer ... (C) The bending stress at the outer fibres, is known as principal stress  (D) All the above 

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A flitched beam has a. Common neutral axis & both materials bend independently b. Common neutral axis & both materials has common R (Radius of curvature) c. Two neutral axis & both materials has common R (Radius of curvature) d. Two neutral axis & both materials bend independently

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The graphical representation of variation of axial load on y axis and position of cross section along x axis is called as _____ (a) Bending moment diagram (b) Shear force diagram (c) Stress-strain diagram (d) Trust diagram

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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

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Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to (A) Modulus of rigidity (B) Angle of twist (C) Reciprocal of the length of the shaft (D) Moment of inertia of the shaft section

Description : Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly  proportional to  (A) Modulus of rigidity  (B) Angle of twist  (C) Reciprocal of the length of the shaft  (D) Moment of inertia of the shaft section 

Last Answer : (D) Moment of inertia of the shaft section 

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

The maximum twisting moment a shaft can resist, is the product of the permissible shear stress and (A) Moment of inertia (B) Polar moment of inertia (C) Polar modulus (D) Modulus of rigidly

Description : The maximum twisting moment a shaft can resist, is the product of the permissible shear stress and (A) Moment of inertia (B) Polar moment of inertia (C) Polar modulus (D) Modulus of rigidly

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Bending moment at any section in a conjugate beam gives in the actual beam (A) Slope (B) Curvature (C) Deflection (D) Bending moment

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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

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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

In a R.C section under flexure, the assumption that “a plane section before bending remains plane after bending” leads to (a) Strain distribution being linear across the depth (b) Stress distribution being linear across the depth (c) Both stress and strain distribution being linear across the depth (d) Shear stress distribution being uniform along the depth

Description : In a R.C section under flexure, the assumption that a plane section before bending remains plane after bending leads to (a) Strain distribution being linear across the depth (b) ... strain distribution being linear across the depth (d) Shear stress distribution being uniform along the depth

Last Answer : (a) Strain distribution being linear across the depth

The intensity of direct longitudinal stress in the cross-section at any point distant r from the neutral axis, is proportional to (A) r (B) 1/r (C) r2 (D) 1/r²

Description : The intensity of direct longitudinal stress in the cross-section at any point distant r from the neutral axis, is proportional to (A) r (B) 1/r (C) r2 (D) 1/r²

Last Answer : (A) r

A beam is said to be of uniform strength, if (A) B.M. is same throughout the beam (B) Shear stress is same throughout the beam (C) Deflection is same throughout the beam (D) Bending stress is same at every section along its longitudinal axis

Description : A beam is said to be of uniform strength, if (A) B.M. is same throughout the beam (B) Shear stress is same throughout the beam (C) Deflection is same throughout the beam (D) Bending stress is same at every section along its longitudinal axis

Last Answer : (D) Bending stress is same at every section along its longitudinal axis

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

If the modular ratio is , steel ratio is and overall depth of a beam is , the depth of the critical neutral axis of the beam, is (A) [m/(m - r)] d (B) [m/(m + r)] d (C) [(m + r)/m] d (D) [(r - m)/m] d

Description : If the modular ratio is , steel ratio is and overall depth of a beam is , the depth of the critical neutral axis of the beam, is (A) [m/(m - r)] d (B) [m/(m + r)] d (C) [(m + r)/m] d (D) [(r - m)/m] d

Last Answer : Answer: Option B

If the depth of actual neutral axis is greater than the depth of critical neutral axis, then [ A ] Concrete attains its permissible stress earlier [ B ] Steel attains its permissible stress earlier [ C ] Both concrete and steel reaches its permissible stresses simultaneously [ D ] None of the above

Description : If the depth of actual neutral axis is greater than the depth of critical neutral axis, then [ A ] Concrete attains its permissible stress earlier [ B ] Steel attains its permissible stress earlier [ C ] Both concrete and steel reaches its permissible stresses simultaneously [ D ] None of the above

Last Answer : [ A ] Concrete attains its permissible stress earlier

A standard steel tape of length 30 m and cross-section 15 × 1.0 mm was standardised at 25°C and at 30 kg pull. While measuring a base line at the same temperature, the pull applied was 40 kg. If the modulus of elasticity of steel tape is 2.2 × 106 kg/cm2 , the correction to be applied is (A) - 0.000909 m (B) + 0.0909 m (C) 0.000909 m (D) None of these

Description : A standard steel tape of length 30 m and cross-section 15 1.0 mm was standardised at 25°C and at 30 kg pull. While measuring a base line at the same temperature, the pull applied was 40 kg. If the modulus of elasticity of ... (A) - 0.000909 m (B) + 0.0909 m (C) 0.000909 m (D) None of these

Last Answer : (A) - 0.000909 m

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 

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

A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is (A) bn (fc /2) (d - n/3) (B) Atft (d - n/3) (C) ½ n1 (1 - n1/3) cbd² (D) All the above

Description : A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is (A) bn (fc ... (B) Atft (d - n/3) (C) ½ n1 (1 - n1/3) cbd² (D) All the above

Last Answer : Answer: Option D

Define section modulus and neutral axis.

Description : Define section modulus and neutral axis.

Last Answer : Section Modulus: It is the ratio of M. I. of the section about the neutral axis and the distance of the most extreme fiber from the neutral axis. Neutral Axis: It is the axis shown in cross ... The intersection of the neutral layer with any normal cross section of a beam is called as neutral axis.

With usual notations the depth of the neutral axis of a balanced section, is given by (A) mc/t = (d - n)/n (B) t/mc = (d - n)/n (C) t/mc = (d + n)/n (D) mc/t = n/(d - n)

Description : With usual notations the depth of the neutral axis of a balanced section, is given by (A) mc/t = (d - n)/n (B) t/mc = (d - n)/n (C) t/mc = (d + n)/n (D) mc/t = n/(d - n)

Last Answer : Answer: Option D

The depth of neutral axis for a balanced section is --------- the depth of critical neutral axis [ A ] equal [ B ] always greater than [ C ] always less than [ D ] may be sometimes greater than

Description : The depth of neutral axis for a balanced section is --------- the depth of critical neutral axis [ A ] equal [ B ] always greater than [ C ] always less than [ D ] may be sometimes greater than

Last Answer : [ A ] equal

The depth of neutral axis for over reinforced section is ----------- the depth of critical neutral axis [ A ] Equal to [ B ] Greater than [ C ] Less than [ D ] None of the above

Description : The depth of neutral axis for over reinforced section is ----------- the depth of critical neutral axis [ A ] Equal to [ B ] Greater than [ C ] Less than [ D ] None of the above

Last Answer : [ B ] Greater than

The depth of neutral axis for under reinforced section is --------- the depth of critical neutral axis [ A ] Equal to [ B ] Greater than [ C ] Less than [ D ] None of the above

Description : The depth of neutral axis for under reinforced section is --------- the depth of critical neutral axis [ A ] Equal to [ B ] Greater than [ C ] Less than [ D ] None of the above

Last Answer : [ C ] Less than

The critical section for finding maximum bending moment for footing under masonry wall is located (A) At the middle of the wall (B) At the edge of the wall (C) Halfway between the middle and edge of the wall (D) At a distance equal to effective depth of footing from the edge of the wall

Description : The critical section for finding maximum bending moment for footing under masonry wall is located (A) At the middle of the wall (B) At the edge of the wall (C) Halfway between the middle and edge of the wall (D) At a distance equal to effective depth of footing from the edge of the wall

Last Answer : Answer: Option C

A doubly reinforced section is used (a) When the members are subjected to alternate external loads and the bending moment in the sections reverses. (b) When the member are subjected to loading eccentric in either side of the axis. (c) When the members are subjected to accidental lateral loads . (d) All of the above

Description : A doubly reinforced section is used (a) When the members are subjected to alternate external loads and the bending moment in the sections reverses. (b) When the member are subjected to loading eccentric in ... . (c) When the members are subjected to accidental lateral loads . (d) All of the above

Last Answer : (d) All of the above

The maximum compressive stress at the top of a beam is 1600 kg/cm2 and the corresponding tensile stress at its bottom is 400 kg/cm2 . If the depth of the beam is 10 cm, the neutral axis from the top, is(A) 2 cm (B) 4 cm (C) 6 cm (D) 8 cm

Description : The maximum compressive stress at the top of a beam is 1600 kg/cm2 and the corresponding tensile stress at its bottom is 400 kg/cm2 . If the depth of the beam is 10 cm, the neutral axis from the top, is (A) 2 cm (B) 4 cm (C) 6 cm (D) 8 cm

Last Answer : (D) 8 cm

If the depth of actual neutral axis of a doubly reinforced beam (A) Is greater than the depth of critical neutral axis, the concrete attains its maximum stress earlier (B) Is less than the depth of critical neutral axis, the steel in the tensile zone attains its maximum stress earlier (C) Is equal to the depth of critical neutral axis; the concrete and steel attain their maximum stresses simultaneously (D) All the above

Description : If the depth of actual neutral axis of a doubly reinforced beam (A) Is greater than the depth of critical neutral axis, the concrete attains its maximum stress earlier (B) Is less ... critical neutral axis; the concrete and steel attain their maximum stresses simultaneously (D) All the above

Last Answer : Answer: Option D

In limit state design of concrete for flexure, the area of stress block is taken as (a) 0.530 fck. Xu (b) 0.446 fck . Xu ( c) 0.420 fck .Xu (d) 0.360 fck . Xu Where fck is characteristic compressive strength of concrete and Xu is the depth of neutral axis from top.

Description : In limit state design of concrete for flexure, the area of stress block is taken as (a) 0.530 fck. Xu (b) 0.446 fck . Xu ( c) 0.420 fck .Xu (d) 0.360 fck . Xu Where fck is characteristic compressive strength of concrete and Xu is the depth of neutral axis from top.

Last Answer : (d) 0.360 fck . Xu

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 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

The strength of a beam depends upon (a) Its section modulus (b) Permissible bending stress (c) Both (a) and (b) (d) None of these

Description : The strength of a beam depends upon (a) Its section modulus (b) Permissible bending stress (c) Both (a) and (b) (d) None of these

Last Answer : (a) Its section modulus

A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm2 , the deflection of the free end, is (A) 2 mm (B) 3 mm (C) 4 mm (D) 5 mm

Description : A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free  end. If the modulus of elasticity of the material is 0.2 × 106  N/mm2 , the deflection of the free end,  is  (A) 2 mm  (B) 3 mm  (C) 4 mm  (D) 5 mm

Last Answer : (D) 5 mm

While calculating bending stress in the following welded joints which of the welds moment of inertia can be neglected? a) 1 b) None of the listed c) Both 1 & 3 d) Both 2 & 4

Description : While calculating bending stress in the following welded joints which of the welds moment of inertia can be neglected? a) 1 b) None of the listed c) Both 1 & 3 d) Both 2 & 4

Last Answer : b) None of the listed

Pick up the correct statement from the following: (A) In a loaded beam, the moment at which the first yield occurs is called yield moment(B) In a loaded beam, the moment at which the entire section of the beam becomes fully plastic, is called plastic moment (C) In a fully plastic stage of the beam, the neutral axis divides the section in two sections of equal area (D) All the above

Description : Pick up the correct statement from the following:  (A) In a loaded beam, the moment at which the first yield occurs is called yield moment (B) In a loaded beam, the moment at which the ... beam, the neutral axis divides the section in two sections of  equal area  (D) All the above 

Last Answer : (D) All the above 

In case of a beam subjected to pure bending a.107 dynes b.the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis c.the stress intensity in any fibre is proportional to the distance of the fibre from the load carrying end d.the stress intensity in any fibre is uniform e.the nature of stress in any fibre is identical

Description : In case of a beam subjected to pure bending a.107 dynes b.the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis c.the stress intensity in any fibre is ... d.the stress intensity in any fibre is uniform e.the nature of stress in any fibre is identical

Last Answer : b. the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis