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

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

by

1 Answer

Answer :

(D) 5 mm

by

Related questions

A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poisson's ratio is 0.25, the change in the volume of the bar is: (A) 1.125 cm3 (B) 2.125 cm3 (C) 3.125 cm3 (D) 4.125 cm

Description : A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2  MN/mm2  and Poisson's ratio is 0.25, the change in the volume of the bar is:  (A) 1.125 cm3 (B) 2.125 cm3 (C) 3.125 cm3 (D) 4.125 cm

Last Answer : (C) 3.125 cm

A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444

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A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 3 . Determine the static deflection of the shaft in mm. a) 0.147 b) 0.213 c) 0.132 d) 0.112

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Modulus elasticity of steel is generally taken as [ A ] 2 x 105 N/mm2 [ B ] 2 x 106 N/mm2 [ C ] 2 x 106 N/mm2 [ D ] 2 x 105 N/mm2

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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

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A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm2 , the depth of the joist, is (A) 200 mm (B) 250 mm (C) 300 mm (D) 400 mm

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A cantilever carries is uniformly distributed load W over its whole length and a force W acts at its free end upward. The net deflection of the free end will be (A) Zero (B) (5/24) (WL3 /EI) upward (C) (5/24) (WL3 /EI) downward (D) None of these

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A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free enD. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. A. 575B. 625 C. 525 D. 550

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A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Determine the frequency of transverse vibrations of the shaft. a) 31 b) 35 c) 37 d) 41

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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

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Modulus of elasticity of steel as per IS: 4561978 shall be taken as (A) 20 kN/cm² (B) 200 kN/cm² (C) 200 kN/mm² (D) 2 × 106 N/cm2

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A cantilever of length 3 m carries a uniformly distributed load over the entire length.If the deflection at the free end is 40 mm,find the slope at the free end. a.0.0115 rad b.0.01777 rad c.0.001566 rad d.0.00144 rad

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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)

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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

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A cantilever of length 3m carries a point load of 60 KN at a distance of 2m from the fixed end.If E= 2×105 and I=108, what is the deflection at the free end?. a.7 mm b.14 mm c.26 mm d.52 mm.

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The slope at the free end of a cantilever of length 1m is 10 .If the cantilever carries a uniformly distributed load over the whole length ,then the deflection at the free end will be a.1cm b.1.309 cm c.2.618 cm. d.3.927cm.

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A leaf spring consists of 3 extra full length leaves and 14 graduated length leaves. The maximum force that can act on the spring is 70kN and the distance between eyes of the spring is 1.2m. Width and thickness of the leaves are 100mm and 12mm respectively. If modulus of elasticity is 207000N/mm², calculate the initial nip. (a) 26.8mm (b) 24.9mm (c) 22.5mm (d)23.1mm

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In a cross joint tensile test the following observations were made: Specimen width 20mm, Material thickness 20mm, Max Load: 180kN, Break position: Parent Plate. What is the UTS? a) 45 kN/mm b) 450 N/mm2c) 39 kN/mm2d) 39 N/mm2

Description : In a cross joint tensile test the following observations were made: Specimen width 20mm, Material thickness 20mm, Max Load: 180kN, Break position: Parent Plate. What is the UTS? a) 45 kN/mm b) 450 N/mm2c) 39 kN/mm2d) 39 N/mm2

Last Answer : b) 450 N/mm2

A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm2 and that of brass bar is 3000 mm2 . These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm2 and Eb = 0.1 MN/mm2 , the stresses developed are: (A) b = 10 N/mm2s = 20 N/mm2(B) b = 8 N/mm2s = 16 N/mm2(C) b = 6 N/mm2s = 12 N/mm2(D) b = 5 N/mm2s = 10 N/mm

Description : A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm2 and that  of brass bar is 3000 mm2 . These are subjected to a compressive load 100,000 N. If Eb = 0.2  MN/mm2  and Eb = 0.1 ... 6 N/mm2 s  = 12 N/mm2 (D) b = 5 N/mm2 s  = 10 N/mm

Last Answer : (A) b = 10 N/mm2 s  = 20 N/mm

A cantilever of length is subjected to a bending moment at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is (A) ML/EI (B) ML/2EI (C) ML²/2EI (D) ML²/3EI

Description : A cantilever of length is subjected to a bending moment at its free end. If EI is the flexural  rigidity of the section, the deflection of the free end, is  (A) ML/EI (B) ML/2EI (C) ML²/2EI (D) ML²/3EI

Last Answer : (D) ML²/3EI

If the length of a cantilever carrying an isolated load at its free end is doubled, the deflection of the free end will increase by (A) 8 (B) 1/8 (C) 1/3 (D) 2

Description : If the length of a cantilever carrying an isolated load at its free end is doubled, the deflection of the free end will increase by (A) 8 (B) 1/8 (C) 1/3 (D) 2

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The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is (A) WL²/2EI (B) WL²/3EI (C) WL3 /2EI (D) WL3 /3EI

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Last Answer : (D) WL3 /3EI

The deflection due to couple M at the free end of a cantilever length L is (A) ML/EI (B) 2ML/EI (C) ML²/2E(D) M²L/2EI

Description : The deflection due to couple M at the free end of a cantilever length L is  (A) ML/EI (B) 2ML/EI (C) ML²/2E (D) M²L/2EI

Last Answer : (C) ML²/2EI

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

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Last Answer : (C) b²h/6

A beam of uniform rectangular section 200 mm wide and 300mm deep is simply supported at its ends.It carries a uniformly distributed load of 9KN/m run over the entire span of 5m.If E=1×104 N/mm2, what is the maximum deflection? a.14.26 mm b.17.28 mm c.18.53 mm d.16.27 mm.

Description : A beam of uniform rectangular section 200 mm wide and 300mm deep is simply supported at its ends.It carries a uniformly distributed load of 9KN/m run over the entire span of 5m.If E=1×104 N/mm2, what is the maximum deflection? a.14.26 mm b.17.28 mm c.18.53 mm d.16.27 mm.

Last Answer : d.16.27 mm.

For a cantilever of effective depth of 0.5 m, the maximum span to satisfy vertical deflection limit is (A) 3.5 m (B) 4 m (C) 4.5 m (D) 5 m

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A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm2 is: (A) 4.0 mm (B) 4.5 mm (C) 5.0 mm (D) 5.5 mm

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Which of the following has the highest modulus of elasticity (about 7 × 106 kg/cm2)? (A) High speed steel (B) Stainless steel (C) Tungsten carbide (D) Superalloys

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A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is (A) 411 N mm (B) 511 N mm (C) 611 N mm (D) 711 N mm

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If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good (A) E = 3K (1 - 2/m) (B) E = 2N (1 + 1/m) (C) (3/2)K (1 - 2/m) = N (1 + 1/m) (D) All 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

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If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm2 ) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm2 , the angle of twist in radians, is (A) 0.001 (B) 0.002 (C) 0.0025 (D) 0.003

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Last Answer : (C) 0.0025 

Basic value .of Span to Depth ratio for cantilever to control deflection is [ A ] 7 [ B ] 20 [ C ] 26 [ D ] 35

Description : Basic value .of Span to Depth ratio for cantilever to control deflection is [ A ] 7 [ B ] 20 [ C ] 26 [ D ] 35

Last Answer : [ A ] 7

Maximum deflection in a cantilever beam with UDL w over the entire length will be a. At the free end. b. At the fixed end. c. At the centre d. None.

Description : Maximum deflection in a cantilever beam with UDL w over the entire length will be a. At the free end. b. At the fixed end. c. At the centre d. None.

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A cantilever carrying a uniformly distributed load W over its full length is propped at its free end such that it is at the level of the fixed end. The bending moment will be zero at its free end also at (A) Midpoint of the cantilever (B) Fixed point of the cantilever (C) 1/4th length from free end (D) 3/4th length from free end

Description : A cantilever carrying a uniformly distributed load W over its full length is propped at its free end such that it is at the level of the fixed end. The bending moment will be zero at its free end also at ... point of the cantilever (C) 1/4th length from free end (D) 3/4th length from free end

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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

Maximum deflection of a cantilever due to pure bending moment M at its free end, is (A) ML²/3EI (B) ML²/4EI (C) ML²/6EI (D) ML²/2EI

Description : Maximum deflection of a cantilever due to pure bending moment M at its free end, is (A) ML²/3EI (B) ML²/4EI (C) ML²/6EI (D) ML²/2EI

Last Answer : (D) ML²/2EI

Maximum deflection of a (A) Cantilever beam carrying a concentrated load W at its free end is WL3 /3EI (B) Simply supported beam carrying a concentrated load W at mid-span is WL3 /48EI (C) Cantilever beam, carrying a uniformly distributed load over span is WL3 /8EI (D) All the above

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Last Answer : (D) All the above