Shear force at any section is the algebraic sum of the following forc...
Shear force at any point or at any section is the algebraic sum of transverse shear forces either to the left or to the right of a section.
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Shear force at any section is the algebraic sum of the following forc...
Shear force at any section is the algebraic sum of the following forces on either side:
Explanation:
Shear force is the internal force that acts parallel to the cross-sectional area of a structural member. It represents the force that tends to shear or break the member apart. In order to calculate the shear force at any section, we need to consider the forces acting on either side of that section.
Axial forces:
Axial forces are forces that act along the axis of the structural member, either in tension or compression. These forces can be caused by applied loads, such as dead loads or live loads, or by support reactions. The axial forces on either side of a section contribute to the shear force at that section. The algebraic sum of these axial forces is taken into account when calculating the shear force.
Transverse forces:
Transverse forces are forces that act perpendicular to the axis of the structural member. These forces can be caused by applied loads, such as point loads or distributed loads, or by support reactions. The transverse forces on either side of a section also contribute to the shear force at that section. The algebraic sum of these transverse forces is considered when calculating the shear force.
Moments:
Moments are rotational forces that cause a structural member to bend. They result from applied loads that create a moment arm about a particular point. Moments can be positive or negative, depending on the direction of rotation. The moments on either side of a section affect the shear force at that section. The algebraic sum of these moments is included in the calculation of the shear force.
None of these:
The correct answer is not "None of these" because both axial forces, transverse forces, and moments contribute to the shear force at a section. Neglecting any of these forces would result in an inaccurate calculation of the shear force.
Therefore, the shear force at any section is the algebraic sum of the axial forces, transverse forces, and moments on either side of that section. This concept is important in the analysis and design of structural members, as it helps determine the internal forces and stresses within the member.
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