Bissoy.com
Doctors Medicines MCQs Q&A

A prismatic beam is shown in the figure given below: Consider the following statements: i) The structure is unstable ii) The bending moment is zero at support and internal hinge iii) It is a mechanism iv) It is statically indeterminate Which of the statements are correct?

A prismatic beam is shown in the figure given below: Consider the following statements: i) The structure is unstable ii) The bending moment is zero at support and internal hinge iii) It is a mechanism iv) It is statically indeterminate Which of the statements are correct? Correct Answer i, ii and iii

1) A simply supported beam is statically determinate.

 But here a hinge in there in between so our Ds = - 1.So the structure   is statically determinate.

∴ Statement 4 is incorrect.

2) A structure is said to be unstable when either of the horizontal force or vertical force applied on the body, it displaces from original position and may not retrieve back without applying an external force. Since for the given beam, if a vertical force is applied on the internal hinge, it will not retrieve back, the structure is unstable.

∴ Statement 1 is correct

3) The bending moment is always zero at the internal hinge.

∴ Statement 2 is correct.

4) The insertion of plastic hinge in a determinate structure permits an unbounded kinematic displacement, which is called as ‘collapse mechanism’ (or simply mechanism).

∴ Statement 3 is correct.

Related Questions

Muller-Breslau Principle for obtaining influence lines is applicable to 1. Statically determinate beams and frame 2. Statically indeterminate structures, the material of which is elastic and follows Hooke’s law 3.Any statically indeterminate structure 
Muller Breslau’s principle for obtaining influence lines is applicable toi) trussesii) statically determinate beams and framesiii) statically indeterminate structures, the material of which is elastic and follows Hooke’s lawiv) any statically indeterminate structureThe correct answer is
Consider the following statements regarding continuous beam: 1. A beam is said to be a continuous beam if it is supported on more than two supports. 2. A continuous beam is a statically indeterminate structure. 3. The degree of indeterminacy depends upon the number of supports and also on the nature of the supports. Which of the above statements are correct?
Two beams PQ (fixed at P and with a roller support at Q, as shown in Figure I, which allows vertical movement) and XZ (with a hinge at Y) are shown in the Figures I and II respectively. The spans of PQ and XZ are L and 2L respectively. Both the beams are under the action of uniformly distributed load (W) and have the same flexural stiffness, EI (where, E and I respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and maximum rotation be δmax1 and θmax1, respectively, in the case of beam PQ and the corresponding quantities for the beam XZ be δmax2 and θmax2, respectively. Which one of the following relationships is true?
Consider the following statements regarding statically determinate structures: 1. Conditions of equilibrium are sufficient to fully analyze the structure. 2. The bending moment at a section or the force in any member is independent of the material of the components of the structure. 3. The bending moment at a section or the force in any member is independent of the cross-sectional areas of the components. Which of the above statements are correct?
Consider the following statements with regards to the shear force diagram for the beam ABCD: 1. The beam ABCD is an overhanging beam having supports at A and D only. 2. The beam carries a point load of 20 kN at C. 3. The beam carries a concentrated load of 10 kN at the end B. 4. The beam is an overhanging beam having supports at C and D only. 5. The beam carries a uniformly distributed load of 70 kN over the left hand portion AC only. Which of the above statements are correct?
In which of the following cases, there exists the situation of Pure Bending in some part of the beam or along the entire beam? i) A simply supported beam subjected to two equally spaced downward concentrated loads ii) A simply supported beam subjected to two equally spaced opposite moments iii) A cantilever beam subjected to clockwise moment at free end iv) An overhanging beam with both side overhangs subjected to different concentrated loads at both the free ends
Consider the following statements regarding types of supports and beams: 1. When both supports of beams are roller supports, the beam is known as simply supported beam. 2. A beam with one end fixed and the other end free is known as fixed beam. 3. A beam with both ends fixed is known as cantilever beam. 4. A beam with one end fixed and the other simply supported is known as propped cantilever. Which of the above statements is/are correct ?
Sinking of an intermediate support of a continuous beam
i) reduces the negative moment at support
ii) increases the negative moment at support
iii) reduces the positive moment at center of span
iv) increases the positive moment at center of span
The correct answer is
A reinforced concrete beam is subjected to 5 kNm bending moment due to dead load and 25 kNm bending moment due to live load. What should be the design bending moment for limit state of collapse?