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The bending force is called a moment or bending moment. It is a measure of the internal force at a point in a structure when a bending load is applied.
when a moment is applied in a structure the element bend
The importance of shear force and bending moment diagram in mechanics lies in structural design and in deflection of beams.
Bending moment is a measure of the internal response in a structural element when an external force is applied perpendicular to the axis of the element, causing it to bend. It is the product of the force applied to the element and the distance from the point of application of the force to a reference point within the element. Bending moment is an important factor in the design of beams and other structural elements to ensure they can withstand the applied loads.
External bending moment is a force applied to a structural member that causes it to bend. It results in a combination of tensile and compressive stresses on the material of the member. External bending moments are important considerations in the design of beams and other structural elements to ensure their ability to resist bending and carry loads.
Shear force is the force perpendicular to the axis of an object, causing it to shear or slide. Bending moment is the measure of the bending effect of a force applied to an object, causing it to bend or deform. In essence, shear force is the force that tends to make a body slide or cut, while bending moment is the force that tends to make a body bend.
Assuming linear elastic bending with small deformations and planes perpendicular to the neutral axis remain plane after bending, then for a rectangular beam: Moment = (Yield Stress)*(Second Moment of Area)/(Distance of surface to Neutral Axis) For Ultimate Bending Moment, assume stress is uniform throughout the beam, and acting through half the distance from surface to neutral axis, then: Moment = Stress * (Area/2)*(h/4 + h/4) For a better visualization check out Popov's textbook, Engineering Mechanics of Solids, Chapter 6, Section 6.10
When a cantilever beam is loaded with a Uniformly Distributed Load (UDL), the maximum bending moment occurs at the fixed support or the point of fixation. In other words, the point where the cantilever is attached to the wall or the ground experiences the highest bending moment. A cantilever beam is a structural element that is fixed at one end and free at the other end. When a UDL is applied to the free end of the cantilever, the load is distributed uniformly along the length of the beam. As a result, the bending moment gradually increases from zero at the free end to its maximum value at the fixed support. The bending moment at any section along the cantilever can be calculated using the following formula for a UDL: Bending Moment (M) = (UDL × distance from support) × (length of the cantilever - distance from support) At the fixed support, the distance from the support is zero, which means that the bending moment at that point is: Maximum Bending Moment (Mmax) = UDL × length of the cantilever Therefore, the maximum bending moment in a cantilever beam loaded with a UDL occurs at the fixed support. This information is essential for designing and analyzing cantilever structures to ensure they can withstand the applied loads without failure.
Both are Same, Applied Mechanics is commonly referred to as engineering mechanics
The internal bending moment formula used to calculate bending stress in a beam is M I / c, where M is the bending moment, is the bending stress, I is the moment of inertia, and c is the distance from the neutral axis to the outermost fiber of the beam.
Keith M. Walker has written: 'Applied mechanics for engineering technology' -- subject(s): Applied Mechanics, Mechanics, Applied 'Applied Mechanics for Engineering Technology'
Applied Mechanics Division was created in 1927.