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
(A) M²L/2E
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 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 : 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 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
Last Answer : (D) WL3 /3EI
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 : 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 : If a constant section beam is subjected to a uniform bending moment throughout, its length bends to (A) A circular arc (B) A parabolic arc (C) A catenary (D) None of these
Last Answer : (A) A circular arc
Description : A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of moment M at its centre. The maximum bending moment in the beam is (A) M (B) M/2 (C) M/3 (D) ML/2
Last Answer : (A) M
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 : 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 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 : 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 : 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
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)
Description : What is the distance away from midspan of a plastic hinge if developing in a simply supported beam of rectangular cross-section and span 6 m, subjected to a point load at the centre? (a) Zero (b) 1 m (c) 2 m (d) 3 m
Last Answer : (a) Zero
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 : 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 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 : Which among the following is the value of static deflection (δ) for a fixed beam with central point load? A ( Wl 3 ) /(192 EI) B ( Wl 2 ) /(192 EI) C (Wl 3 ) /(384 EI) D None of the above
Last Answer : A ( Wl 3 ) /(192 EI)
Description : Which among the following is the value of static deflection (δ) for a fixed beam with central point load? a. (Wl 3 ) /(192 EI) b. (Wl 2 ) /(192 EI) c. (Wl 3 ) /(384 EI)
Last Answer : a. (Wl 3 ) /(192 EI)
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 strain energy stored per unit volume in a hollow shaft subjected to a pure torque when t attains maximum shear stress fs the ratio of inner diameter to outer diameter, is 17/64 (fs/N) (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5
Last Answer : (C) 1/4
Description : A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is (A) WL/2AE (B) WL/AE (C) W²L/AE (D) W²L/2AE
Last Answer : (D) W²L/2AE
Description : The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called (A) Stiffness (B) Proof resilience (C) Proof stress (D) Proof load
Last Answer : (B) Proof resilience
Description : In a simply supported beam subjected to uniformly distributed load (w) over the entire length (l), total load=W, maximum Bending moment is (a) Wl/8 or wl2/8 at the mid-point (b) Wl/8 or wl2/8 at the end (c) Wl/4 or wl2/4 (d) Wl/2
Last Answer : (a) Wl/8 or wl2/8 at the mid-point
Description : A uniform girder simply supported at its ends is subjected to a uniformly distributed load over its entire length and is propped at the centre so as to neutralise the deflection. The net B.M. at the centre will be (A) WL (B) WL/8 (C) WL/24 (D) WL/32
Last Answer : (D) WL/32
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 : A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised (A) Steel experiences tensile force (B) Brass experiences compressive force (C) Composite beam gets subjected to a couple (D) All the above
Last Answer : (D) All the above
Description : A simply supported beam deflects by 5 mm when it is subjected to a concentrated load of 10 kN at its centre. What will be deflection in a 1/10 model of the beam if the model is subjected to a 1 kN load at its centre? (A) 5 mm (B) 0.5 mm (C) 0.05 mm (D) 0.005 mm
Last Answer : (A) 5 mm
Description : A rectangular beam 20 cm wide is subjected to a maximum shearing force of 10,000 kg, the corresponding maximum shearing stress being 30 kg/cm2 . The depth of the beam is (A) 15 cm (B) 20 cm (C) 25 cm (D) 30 cm
Last Answer : (C) 25 cm
Description : The areas of cross-section of a square beam and a circular beam subjected to equal bending moments, are same. (A) Circular beam is more economical (B) Square beam is more economical (C) Both the beams are equally strong (D) Both the beams are equally economical
Last Answer : (B) Square beam is more economical
Description : A cast iron T section beam is subjected to pure bending. For maximum compressive stress to be three times the maximum tensile stress, centre of gravity of the section from flange side is (A) h/4 (B) h/3 (C) h/2 (D) 2/3 h
Last Answer : (A) h/4
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 : If L is the effective span of a R.C.C. beam which is subjected to maximum shear qmax at the ends, the distance from either end over which stirrups for the shear, are provided, is (A) (L/2) (1 - 3/qmax) (B) (L/3) (1 - 5/qmax) (C) (L/2) (1 - 5/qmax) (D) (L/2) (1 - 2/qmax)
Description : In a ring beam subjected to uniformly distributed load (i) Shear force at mid span is zero (ii) Shear force at mid span is maximum (iii) Torsion at mid span is zero (iv) Torsion at mid span is maximum The correct answer ... and (iii) (B) (i) and (iv) (C) (ii) and (iii) (D) (ii) and (iv)
Last Answer : Option A
Description : A simply supported beam AB is subjected to a concentrated load at C, the centre of the span. The area of the SF diagram from A to C will give a) BM at C b) Load at S c) SF at C d)Difference between BM values at A and C
Last Answer : d)Difference between BM values at A and C
Description : The width of a beam of uniform strength having a constant depth d length L, simply supported at the ends with a central load W is (A) 2WL/3fd² (B) 3WL/2fd² (C) 2fL/3Wd 4 (D) 3fL²/2Wd
Last Answer : (B) 3WL/2fd²
Description : Spacing of stirrups in a rectangular beam, is (A) Kept constant throughout the length (B) Decreased towards the centre of the beam (C) Increased at the ends (D) Increased at the centre of the beam
Last Answer : Answer: Option D
Description : Which of the following is a differential equation for deflection? a.dy / dx = (M/EI) b. dy / dx = (MI/E) c.d2y / dx2 = (M/EI) d.d2y / dx2 = (ME/I)
Last Answer : c.d2y / dx2 = (M/EI)
Description : The width of the analogous column in the method of column analogy is (A) 2/EI (B) 1/EI (C) 1/2 EI (D) 1/4 EI
Last Answer : (B) 1/EI
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
Description : The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope ... arch). (A) 50/EIc (B) 100/EIc (C) 150/EIc (D) 200/E
Last Answer : (D) 200/E
Description : The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x - (wx²/2) (A) A uniformly distributed load w/unit length (B) A load varying linearly from zero at one end to w at the other end (C) An isolated load at mid span (D) None of these
Last Answer : (A) A uniformly distributed load w/unit length
Description : A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is (A) 0.207 (B) 0.307 (C) 0.407 (D) 0.508
Last Answer : (A) 0.207
Description : In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a uniformly distributed load over its entire length, B.M. at the middle point of the beam will be zero if (A) l = 2a (B) l = 4a (C) l < 2a (D) l > a
Last Answer : (A) l = 2a
Description : A simply supported beam (l + 2a) with equal overhangs (a) carries a uniformly distributed load over the whole length, the B.M. changes sign if (A) l > 2a (B) l < 2a (C) l = 2a (D) l = 4a
Last Answer : (A) l > 2a
Description : A beam of length L supported on two intermediate rollers carries a uniformly distributed load on its entire length. If sagging B.M. and hogging B.M. of the beam are equal, the length of each overhang, is (A) 0.107 L (B) 0.207 L (C) 0.307 L(D) 0.407 L
Last Answer : (B) 0.207 L
Description : If the maximum shear stress at the end of a simply supported R.C.C. beam of 16 m effective span is 10 kg/cm2 , the length of the beam having nominal reinforcement, is (A) 8 cm (B) 6 m (C) 8 m (D) 10 m