Strain Energy MCQs (TOS-I/SOM/SA-I)

Subject: Theory of Structure-I (CGPA)/ SA-I (CGPA revised)

Topic: Strain Energy

1. in a bar of enormous length when held vertically and subjected to a load at its lower end, its own-weight produces extra stress. the maximum stress are (A) At the lower cross-section (B) At the inbuilt upper cross-section (C) At the central cross-section (D) At each point of the bar. Answer: B 2. The property of a fabric by that it may be drawn to a smaller section, because of tension, is called (A) ductility (B) elasticity (C) plasticity (D) malleability Answer: A 3. The development of slow growth of strain under a steady tensile stress, is called (A) Yielding (B) creeping (C) Breaking (D) None of the above Answer: B 4. the practical units of work, is (A) Erg (B) Joule (C) Newton (D) Dyne Answer: B 5. When a body falls freely under gravitational attraction, it possesses (A) maximum weight (B) Minimum weight (C) No weight (D) No impact on its weight. Answer: C 6. As compared to uniaxial tension or compression, the strain energy stored in bending is merely (A) 18 (B) 14 (C) 13 (D) 12 Answer: C 7. The energy stored in a beam of length L subjected to a constant B.M. is (A) M2L/2EI (B) ML2/2EI (C) M2L/EI (D) ML2/EI Answer: A 8. the utmost stress intensity because of a suddenly applied load is x-times the stress intensity created by the load of an equivalent magnitude applied gradually. the value of x is (A) 1 (B) 2 (C) 3 (D) 1/2 Answer: B 9. Strain energy of a member may be equated to (A) Average resistance×displacement (B) 12×stress×strain×area of its cross-section (C) 12×stress×strain×volume of member (D) 12×stress2×volume of member+Young's modulus E Answer: D 10. Strain energy of any member could also be defined as work done on it (A) To deform it (B) To resist elongation (C) To resist shortening (D) All the above Answer: D 11. Total strain energy theory for the failure of a fabric at elastic limit, is known (A) Guest's or Trecas' theory (B) St. Venant's theory (C) Rankine's theory (D) Haig's theory Answer: D 12. the full strain energy of a beam of length L, having moment of inertia of its section I, once subjected to a bending moment M, is (A) (M2/EI) dx (B) (M2/2EI) dx (C) ∫0L(M2/2EI) dx (D) ∫0L(M2/EI) dx Answer: C 13. The strain energy hold on in a spring once subjected to greatest load without being permanently distorted, is called (A) Stiffness (B) Proof resilience (C) Proof stress (D) Proof load Answer: B 14. the greatest load that a spring will carry without obtaining getting distorted, is called (A) Stiffness (B) Proof resilience (C) Proof stress (D) Proof load Answer: D 15. The ratio of the area of cross-section of a circular section to the area of its core, is (A) 4 (B) 8 (C) 12 (D) 16 Answer: D 16. The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is (A) 1/4 (B) 1/2 (C) 1 (D) 2 Answer: D 17. The strain energy because of volumetric strain (A) is directly proportional to the volume (B) is directly proportional to the sq. of exerted pressure (C) is reciprocally proportional to bulk modulus (D) All the on top of Answer: D 18. The property of material to store strain energy is named (A) ductility (B) Modulus of rupture (C) Strain hardening (D) Resilience Answer: D 19. Equation of Strain energy is (A) (σ2/2E) ×V (B) (σE2/2E) (C) (σ2/E) ×V (D) (σ2/2V) ×E Answer: A 20. Proof resilience per material is known as (A) Resilience (B) Proof resilience (C) Modulus of resilience (D) Toughness Answer: C 21. The capability of a strained body for doing work on the removal of the straining force, is called (A) Strain Energy (B) Resilience (C) Proof resilience (D) Impact Energy Answer: B

Three hinged Arches & Suspension Cables MCQs (TOS-I CGPA)

 

Subject: Theory of Structures-I/ Structural Analysis-I

Topic:- Three Hinged Arches and Suspension Cables

1. Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,

(A) Dip of the cable increases

(B) Length of the cable increases

(C) Dip of the cable decreases

(D) None of these.

Answer: C

2. to avoid bending action at the base of a pier,

(A) Suspension and anchor cables are kept at the same level

(B) Suspension and anchor cables are fixed to pier top

(C) Suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier

(D) None the these

Answer: B

3. The shape of a suspended cable under its own weight, is

(A) Parabolic

(B) Circular

(C) Catenary

(D) Any of the above

 

Answer: C

4. A three-hinged arch is said to be :

(A) Statically determinate structure

(B) Statically indeterminate structure

(C) A bent beam

(D) None of these

Answer: A

5. A three hinged parabolic arch hinged at the crown and springings, has a horizontal span of 4.8 m and a central rise of 1 m. It carries a uniformly distributed load of 7.5 kN per meter over half left hand span. The horizontal thrust at the support will be

(A) 10.8 kN

(B) 1.08 kN

(C) 1.8 kN

(D) 0.8 kN

Answer: A

6. If a three hinged parabolic arch carries a uniformly distributed load on its entire span, every section of the arch resists.

(A) Compressive force

(B) Tensile force

(C) Shear force

(D) Bending moment

Answer: A

7. In a three hinged arch, the shear force is usually

(A) Maximum at crown

(B) Maximum at springings

(C) Maximum at quarter points

(D) Varies with slope

Answer: B

8. An arch may be subjected to

(A) Shear and axial force

(B) Bending moment and shear force

(C) Bending moment and axial force

(D) Thrust, shear force and bending moment

Answer: D

9. An arch with three hinges, is a structure

(A) Statically determinate

(B) Statically indeterminate

(C) Geometrically unstable

(D) Structurally sound but indeterminate

Answer: A

10. In a three hinged arch, the third hinge is generally kept at

(A) Crown of the arch

(B) Midpoint of the crown and left support hinge

(C) Midpoint of the crown and right support hinge

(D) None of these

Answer: A

11. In a three hinged arch, the bending moment will be zero

(A) At right hinge only

(B) At left hinge only

(C) At all the three hinges

(D) At both right and left hinges

Answer: C

12. In a solid arch, shear force acts

(A) Vertically upwards

(B) Along the axis of the arch

(C) Tangentially to the arch

(D) Perpendicular to the axis of arch

Answer: D

13. A three hinged arch is loaded with an isolated load 1 kN at a horizontal distance of 2.5 m from the crown, 1 m above the level of hinges at the supports 10 metres apart. The horizontal thrust is

(A) 0.125 kN

(B) 0.75 kN

(C) 1.25 kN

(D) 2.5 kN

Answer: C

14. The rise of a parabolic arch at quarter points, is equal to

(A) (1/4) times the rise of the crown

(B) (1/2) times the rise of the crown

(C) (1/3) times the rise of the crown

(D) (3/4) times the rise of the crown

Answer: D

15. The effect of arching a beam, is

(A) To reduce the bending moment throughout

(B) To increase the bending moment throughout

(C) Nothing on the bending throughout

(D) Any of the above

Answer: A

16. If a three hinged parabolic arch, (span L, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

(A) Horizontal thrust is wL²/8h

(B) S.F. will be zero throughout

(C) B.M. will be zero throughout

(D) All the above

Answer: D

17. A three hinged arch is generally hinged at its supports and

(A) At one quarter span

(B) At the crown

(C) Anywhere in the rib

(D) None of these

Answer: C

18. A three hinged arch will have three hinges

(A) One hinge at the crown essentially and the other two any where

(B) Two at the two ends and one anywhere in between the two ends

(C) Two at the two ends the third at the crown only

(D) None of the above

Answer: B

19. Cables resist external loads by

(A) Tension

(B) Compression

(C) Bending

(D) Compression & bending

Answer: A

20. An arch resist the external load by

(A) Normal thrust

(B) Normal thrust and bending moment

(C) Bending moment and radial shear

(D) Normal thrust, radial shear and bending moment

Answer: D

21. The shape of cable under transverse uniformly distributed load is

(A) Parabolic

(B) Catenary

(C) Circular

(D) Triangular

Answer: A

22. A circular three pinned arch of span 20 m and a rise of 5 m is hinged at a crown and springing. It carries a load of u.d.l. of 10 kN/m over entire span. The horizontal thrust at the right springing will be

(A) 800 kN

(B) 600 kN

(C) 400 kN

(D) 100 kN

Answer: D

23. A circular three pinned arch of span 20 m and a rise of 5 m is hinged at a crown and springing. It carries a load of u.d.l. of 10 kN/m over entire span. The horizontal thrust at the left springing will be

(A) 100 kN

(B) 400 kN

(C) 600 kN

(D) 800 kN

Answer: A

24. A circular three pinned arch of span 20 m and a rise of 5 m is hinged at a crown and springing. It carries a load of u.d.l. of 10 kN/m over entire span. What will be the horizontal reactions at the supports,

(A) 100 kN

(B) 400 kN

(C) 600 kN

(D) 800 kN

Answer: A

25. A 3 hinged arch of span 40m and rise 8m carries concentrated loads of 200 kN and 150 kN at a distance of 8m and 16m from the left end and an udl of 50 kN/m on the right half of the span. What will be the horizontal thrust?

(A) 500 kN

(B) 850 kN

(C) 875 kN

(D) 900 kN

Answer: C

26. A 3 hinged arch of span 40m and rise 8m carries concentrated loads of 200 kN and 150 kN at a distance of 8m and 16m from the left end and an udl of 50 kN/m on the right half of the span. What will be the horizontal reaction on left support?

(A) 500 kN

(B) 850 kN

(C) 875 kN

(D) 900 kN

Answer: A

27. A 3 hinged arch of span 40m and rise 8m carries concentrated loads of 200 kN and 150 kN at a distance of 8m and 16m from the left end and an udl of 50 kN/m on the right half of the span. What will be the horizontal reaction on right support?

(A) 500 kN

(B) 850 kN

(C) 875 kN

(D) 900 kN

Answer: B