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
Description : The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is (A) wl3 /3EI (B) wl4 /3EI (C) wl4 /8EI (D) wl4 /12E
Last Answer : (C) wl4 /8EI
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
Description : The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is (A) WL3 /3EL (B) WL3 /8EL (C) WL3 /24EL (D) WL3 /48EL
Last Answer : (D) WL3 /48EL
Description : Maximum deflection in a cantilever beam with W at the free end will be a.WL3/6EI. b.WL3/2EI c.WL3/3EI d.None.
Last Answer : c.WL3/3EI
Description : 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
Last Answer : (D) All the above
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
Description : 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
Last Answer : (B) (5/24) (WL3 /EI) upward
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
Description : The maximum deflection of a simply supported beam of length L with a central load W, is (A) WL²/48EI (B) W²L/24EI (C) WL3 /48EI (D) WL²/8EI
Last Answer : (C) WL3 /48EI
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
Description : Maximum slope in a cantilever beam with UDL w over the entire length will be a. wl3/9EI b. wl3/6EI c. wl3/3EI d. None.
Last Answer : b. wl3/6EI
Description : Differences in deflections between two points A and B by the moment area method is given by a.(Area of BMD diagram between A and B ).XB/2EI. b.(Area of BMD diagram between A and B).XB/3EI c.(Area of BMD diagram between A and B) .XB/EI d.None.
Last Answer : c.(Area of BMD diagram between A and B) .XB/EI
Description : .Differences in slopes between two points A and B by the moment area method is given by a.Area of BMD diagram between A and B /2EI. b.Area of BMD diagram between A and B /3EI. C.Area of BMD diagram between A and B /EI d.None.
Last Answer : C.Area of BMD diagram between A and B /EI
Description : A simply supported beam carries uniformly distributed load of 20 kN/m over the length of 5 m. If flexural rigidity is 30000 kN.m2, what is the maximum deflection in the beam? a. 5.4 mm b. 1.08 mm c. 6.2 mm d. 8.6 mm
Last Answer : a. 5.4 mm
Description : The stiffness factor for a prismatic beam of length L and moment of inertia I, is (A) IE/L (B) 2EI/L (C) 3EI/L (D) 4EI/L
Last Answer : (A) IE/L
Description : Deflection of a simply supported beam when subjected to central point load is given as ________ a. (Wl /16 EI) b. (Wl2/16 EI) c. (Wl3/48 EI) d. (5Wl4/ 384EI)
Last Answer : c. (Wl3/48 EI)
Description : The maximum deflection of (A) A simply supported beam carrying a uniformly increasing load from either end and having the apex at the mid span is WL3 /60EI (B) A fixed ended beam ... ended beam carrying a concentrated load at the mid span is WL3 /192EI (D) All the above
Description : A pile of length carrying a uniformly distributed load per metre length is suspended at the centre and from other two points 0.15 L from either end ; the maximum hogging moment will be (A) WL²/15 (B) WL²/30 (C) WL²/60 (D) WL²/90
Last Answer : Answer: Option D
Description : In a cantilever subjected to a concentrated load (W) at the free end and having length =l, Maximum bending moment is (a) Wl at the free end (b) Wl at the fixed end (c) Wl/2 at the fixed end (d) Wl at the free end
Last Answer : (b) Wl at the fixed end
Description : Maximum slope in a cantilever beam with W at the free end will be a.WL2/4EI b.WL2/8EI c.WL2/2EI d.None.
Last Answer : c.WL2/2EI
Description : The ratio of the maximum deflection of a cantilever beam with an isolated load at its free end and with a uniformly distributed load over its entire length, is (A) 1 (B) 24/15 (C) 3/8 (D) 8/3
Last Answer : (D) 8/3
Description : The load required to produce a unit deflection in the spring is called (a) Modulus of Rigidity (b) Spring stiffness (c) Flexural rigidity (d) Tensional rigidity
Last Answer : b) Spring stiffness
Last Answer : (b) Spring stiffness
Description : Deflection underthe load in a S.S beam with W not at the centre will be a.4Wa2b2/ 3EI l . b.2Wa2b2/3EIl. c.Wa2 b2/ 3EIL. d.None.
Last Answer : c.Wa2 b2/ 3EIL.
Description : The energy stored in a beam of length subjected to a constant B.M. is (A) M²L/2EI (B) ML²/2EI (C) M²L/EI (D) ML²/EI
Last Answer : (A) M²L/2E
Description : For stairs spanning l metres longitudinally between supports at the bottom and top of a flight carrying a load w per unit horizontal area, the maximum bending moment per metre width, is (A) wl²/4 (B) wl²/8 (C) wl²/12 (D) wl²/16
Description : Maximum slope in a S.S beam with UDL w at the entire span will be a. wl3/ 16EI. b.wl3/ 24EI. c. wl3/ 48 EI. d.None
Last Answer : b.wl3/ 24EI.
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
Last Answer : (B) 1/8
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.
Last Answer : a. At the free end.
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)
Description : The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is (A) 1/8 (B) 1/10 (C) 1/12 (D) 1/16
Last Answer : (D) 1/16
Description : .Maximum slope in a cantilever beam with a Moment M at the free end will be a. 3ML/EI. b.2ML/EI. C. ML/EI. d. None.
Last Answer : C. ML/EI.
Description : 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
Last Answer : b.0.01777 rad
Description : 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.
Last Answer : b.14 mm
Description : 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.
Last Answer : b.1.309 cm
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
Description : 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
Last Answer : A 0.144
Description : 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
Last Answer : a) 0.147
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
Description : A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the ... (A) L/d (B) L/2d (C) (L/2d)² (D) (L/3d)²
Last Answer : (C) (L/2d)
Description : Maximum deflection in a cantilever beam with W at the free end will be a. at the free end. b.at the fixed end. c.at the centre d.None.
Last Answer : a. at the free end.
Description : A pile of length carrying a uniformly distributed load per metre length is suspended at two points, the maximum, B.M. at the centre of the pile or at the points of suspension, is (A) WL/8 (B) WL²/24 (C) WL²/47 (D) WL²/16
Last Answer : Answer: Option C
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
Last Answer : (D) 3/4th length from free end
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
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
Description : Maximum deflection in a cantilever beam with UDL w over the entire length will be a.wL4/4EI b.wL4/12EI C.wl4/ 8EI d.None.
Last Answer : C.wl4/ 8EI
Description : A cantilever shaft has a diameter of 6 cm and the length is 40cm, it has a disc of mass 125 kg at its free end. The Young’s modulus for the shaft material is 250 GN/m2. Calculate the static deflection in nm. a) 0.001 b) 0.083c) 1.022 d) 0.065
Last Answer : a) 0.001
Description : A cantilever of length 3 m carries two point loads of 2 KN at the free end and 4KN at a distance of 1m from the free end .What is the deflection at the free end? Take E= 2×105 N/mm2and I= 108 mm4. a.2.56 mm b.3.84 mm c.1.84 mm d.5.26mm
Last Answer : c.1.84 mm
Description : In cantilever beam the slope and deflection at the free end is ---------. a.zero b.maximum c.minimum d.none of above.
Last Answer : b.maximum
Description : The moment diagram for a cantilever carrying linearly varying load from zero at its free end and to maximum at the fixed end will be a (A) Triangle (B) Rectangle (C) Parabola (D) Cubic parabola
Last Answer : (D) Cubic parabola