The answer is not formulatic. There will be a parabolic shape from the dead load and a discontinuity at the point load.
It depends on the loading conditions of the beam, it will generally occur close to the middle of the span.
It is related. Flexural modulus is the modulus of elasticity (E) in bending and the higher it is the higher the bending stiffness. Technically, bending stiffness is the product of the flexural modulus and the material bending moment of inertia, I, that is EI.
A MECHANICAL ENGINEER SHOULD ALWAYS KNOW THESE THESE FOLLOWING BASICS: NEWTONS LAWS OF MOTION THERMODYNAMICS LAWS STRESS STRIAN DIAGRAM (YOUNG's MODULUS) BENDING MOMENT DIAGRAM PRINCIPLE OF SUSPENSION BRIDGE SOFTWARES LIKE: PRO-E AUTOCAD AND A LITTLE ELECTRONICS AND A LITTLE MANAGEMENT.
It is the maximum stress at which a material will fail when subject to flexural ( moment producing) bending loads. These stresses occur a the material outer fibers.
From the Hooke law, stress s is proportional to strain e; s = Ee where E is elastic modulus of the material; the stress is the bending stress which varies from plus on one surface to minus on the opposite surface.
zero
Parabolic, max moment at midspan of value wL^2/8 where w is the distributed load and L the length of the beam.
it occur where moment becomes zero in bending moment diagram.
An influence line diagram shows how a structure will react to a unit load moving across it, indicating where the maximum response will occur. On the other hand, a bending moment diagram shows the variation of bending moments along a beam's length that result from applied loads. Influence lines are used for design purposes, while bending moment diagrams are used for structural analysis.
The importance of shear force and bending moment diagram in mechanics lies in structural design and in deflection of beams.
the shear force diagram and the bending moment diagram are two separate diagrams each depicting their respective quantities.shear force and bending moment diagrams are extremely important as these two diagrams give what is needed of the beam that is to be designed. the procedure of sectioning the beam and finding the system of forces at the section is the most fundamental approach. for example the bending moment diagram can show at one glimpse the point of beam which is going to experience the maximum loading conditions and this point can be selected as the minimum requirement of the beam.
The BM diagram can help you in the calculation of the shear force and the bending moment.
It is parabolic, or second order:M = q x squared/2An excellent software to view the profiles of Shear force & Bending moment diagrams.http://www.mdsolids.com/
The term "point of contraflexure" is often used in structural engineering, specifically in the context of analyzing and designing beams subjected to bending loads. In simple terms, the point of contraflexure is the location along the length of a beam where the bending moment is zero. When a beam is subjected to bending loads, it experiences tensile (positive) bending moments and compressive (negative) bending moments along its length. The bending moment varies along the beam, reaching a maximum at the points where the bending is the most significant. These points are usually located near the supports of the beam. However, in some cases, particularly in continuous beams or beams with complex loading conditions, there may be a section along the beam where the bending moment changes direction from positive to negative or vice versa. This section is known as the point of contraflexure. At the point of contraflexure, the bending moment is zero, and the beam's curvature changes direction. This point is essential in the analysis and design of structures as it affects the internal forces and stresses within the beam. Identifying the point of contraflexure is crucial for engineers to ensure the beam's stability and design it appropriately to handle the bending loads effectively. The bending moment diagram is used to visualize the variation of bending moments along the length of the beam and to locate the point of contraflexure if it exists.
If we use a light weighted material offered no resistance then the beam deflects as per the diagram.
a simple definition " IT'S A COUPLE OF FORCE HAVING EQUAL MAGNITUDE BUT OPPOSITE IN DIRECTION & HAVING VERY LESS DISTANCE BETWEEN THEM"
Beams are usually long, straight, prismatic members and always subjected forces and bending moment diagram(BMD) of a beam shows the variation of shear.