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

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 

by

1 Answer

Answer :

(C) bh3

/12 

by

Related questions

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

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

Hydrodynamic pressure due to earthquake acts at a height of (A) 3H/4 above the base (B) 3H/4 below the water surface (C) 4H/3 above the base (D) 4H below the water surface, where H is the depth of water.

Description : Hydrodynamic pressure due to earthquake acts at a height of (A) 3H/4 above the base (B) 3H/4 below the water surface (C) 4H/3 above the base (D) 4H below the water surface, where H is the depth of water.

Last Answer : Answer: Option C

A triangular section having base b, height h, is placed with its base horizontal. If the shear stress at a depth y from top is q, the maximum shear stress is (A) 3S/bh (B) 4S/bh (C) 4b/Sh (D) 3b/bS

Description : A triangular section having base b, height h, is placed with its base horizontal. If the shear stress at a depth y from top is q, the maximum shear stress is (A) 3S/bh (B) 4S/bh (C) 4b/Sh (D) 3b/bS

Last Answer : (A) 3S/bh

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 

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Maximum shear stress in a triangular section ABC of height H and base B occurs at _________ a. H b. H/2 c. H/3 d. neutral axis

Description : Maximum shear stress in a triangular section ABC of height H and base B occurs at _________ a. H b. H/2 c. H/3 d. neutral axis

Last Answer : b. H/2

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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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

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

A vertical wall is subjected to a pressure due to one kind of liquid, on one of its sides. The total pressure on the wall acts at a distance __________ from the liquid surface. (A) H/3 (B) H/2 (C) 2H/3 (D) 3H/4

Description : A vertical wall is subjected to a pressure due to one kind of liquid, on one of its sides. The total pressure on the wall acts at a distance __________ from the liquid surface. (A) H/3 (B) H/2 (C) 2H/3 (D) 3H/4

Last Answer : Answer: Option C

The equation of a parabolic arch of span and rise , is given by (A) y = h/l² × (1 - x) (B) y = 2h/l² × (1 - x) (C) y = 3h/l² × (1 - x) (D) y = 4h/l² × (1 - x)

Description : The equation of a parabolic arch of span and rise , is given by  (A) y = h/l² × (1 - x)  (B) y = 2h/l² × (1 - x)  (C) y = 3h/l² × (1 - x)  (D) y = 4h/l² × (1 - x) 

Last Answer : (D) y = 4h/l² × (1 - x) 

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

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

A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base -Maths 9th

Description : A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base -Maths 9th

Last Answer : Vol. of △ ular prism = Area of △ ular base × height. ∴ Area of triangular base = area of triangle PQR By heron's formula. S=S(s−a)(s−b)(s−c)​where S=2a+b+c​∴Areaof△PQR= S=23+4+5​=6 S=6(6−3)(6−4)(6−5)​=3×2×3×2×1​=6cm2 ∴ vol. of Prism =6×10 =60cm3Answer.

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 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

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

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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 

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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

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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 

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)

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)

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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 

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 

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

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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 base of a right triangular prism is an equilateral triangle. If the height is halved and each side of the base is doubled, find the ratio of the -Maths 9th

Description : The base of a right triangular prism is an equilateral triangle. If the height is halved and each side of the base is doubled, find the ratio of the -Maths 9th

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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

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

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The superimposed load transmitted to the pipe, is generally evaluated by Business formula (A) pt = 3H 3P/2 (B) pt = 3H 3P/2 5 (C) pt = 3H 3P/2 2 (D) pt = 3H 3P 2 /2 3

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Last Answer : (B) pt = 3H 3P/2 5 (C) pt = 3H 3P/2 2

The polar moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter of 6 cm will be a.137.5 cm4 b.107 dynes c.275 cm4 d.550 cm4 e.1100 cm4

Description : The polar moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter of 6 cm will be a.137.5 cm4 b.107 dynes c.275 cm4 d.550 cm4 e.1100 cm4

Last Answer : c. 275 cm4

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

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Last Answer : (a) Length of column to least radius of gyration

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

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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

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The C.G. of a right circular solid cone of height h lies at the following distance from the base (A) h/2 (B) J/3 (C) h/6 (D) h/4

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An R.C.C. lintel is spanning an opening of 2 m span in a brick wall. The height of the roof is 2.9 m above the floor level and that of the opening is 2.1 m above the floor level. The lintel is to be designed for self weight plus (A) Triangular load of the wall (B) UDL of wall (C) UDL of wall + load from the roof (D) Triangular load + load from the roof

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The error in discharge (dQ/Q) to the error in measurement of head (dH/H) over a triangular notch is given by (A) dQ/Q = 3/2 × (dH/H) (B) dQ/Q = 2 × (dH/H) (C) dQ/Q = 5/2 × (dH/H) (D) dQ/Q = 3 × (dH/H)

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In plastic analysis, the shape factor for a triangular section, is (A) 1.5 (B) 1.34 (C) 2.34 (D) 2.5

Description : In plastic analysis, the shape factor for a triangular section, is  (A) 1.5  (B) 1.34  (C) 2.34  (D) 2.5 

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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

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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

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While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of (A) Zero length (B) Infinite length (C) Zero moment of inertia(D) None of the above

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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 units of moment of inertia of mass are (A) kg m² (B) m 4 (C) kg/m² (D) kg/m

Description : The units of moment of inertia of mass are  (A) kg m²  (B) m 4  (C) kg/m²  (D) kg/m 

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