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The difference in ordinate of the shear curve between any two sections is equal to the area under
- a)load curve between these two section
- b)shear curve between these two sections
- c)bending moment curve between these two section
- d)load curve between these two sections plus concentrated loads applied between the sections
Correct answer is option 'D'. Can you explain this answer?
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The difference in ordinate of the shear curve between any two section...
Explanation:
The given statement is based on the fundamental concept of shear and bending moment diagrams. Let's understand this concept through the following points:
- Shear force (V) is the algebraic sum of all the vertical forces acting to the left or right of a section in a beam.
- Bending moment (M) is the algebraic sum of all the moments of forces acting to the left or right of a section in a beam.
- Shear force and bending moment are related by the following equation:
dM/dx = V
where dM/dx is the rate of change of bending moment with respect to distance along the beam.
- The shear force and bending moment diagrams are graphical representations of the variation of these quantities along the length of the beam.
- The area under the shear curve between any two sections represents the change in bending moment between those sections.
- The difference in ordinate of the shear curve between any two sections is equal to the change in bending moment between those sections.
- The load curve between any two sections represents the total load acting on the beam between those sections.
- The concentrated loads applied between the sections add to the total load acting on the beam between those sections.
Based on the above concepts, we can conclude that the difference in ordinate of the shear curve between any two sections is equal to the area under the load curve between those sections plus the concentrated loads applied between those sections. Therefore, option D is the correct answer.
The given statement is based on the fundamental concept of shear and bending moment diagrams. Let's understand this concept through the following points:
- Shear force (V) is the algebraic sum of all the vertical forces acting to the left or right of a section in a beam.
- Bending moment (M) is the algebraic sum of all the moments of forces acting to the left or right of a section in a beam.
- Shear force and bending moment are related by the following equation:
dM/dx = V
where dM/dx is the rate of change of bending moment with respect to distance along the beam.
- The shear force and bending moment diagrams are graphical representations of the variation of these quantities along the length of the beam.
- The area under the shear curve between any two sections represents the change in bending moment between those sections.
- The difference in ordinate of the shear curve between any two sections is equal to the change in bending moment between those sections.
- The load curve between any two sections represents the total load acting on the beam between those sections.
- The concentrated loads applied between the sections add to the total load acting on the beam between those sections.
Based on the above concepts, we can conclude that the difference in ordinate of the shear curve between any two sections is equal to the area under the load curve between those sections plus the concentrated loads applied between those sections. Therefore, option D is the correct answer.
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The difference in ordinate of the shear curve between any two sections is equal to the area undera) load curve between these two sectionb) shear curve between these two sectionsc) bending moment curve between these two sectiond) load curve between these two sections plus concentrated loads applied between the sectionsCorrect answer is option 'D'. Can you explain this answer?
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