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Ap Psychology Chapter 4

Decent Essays

Chapter 4
Bending
Bending: Bending (also known as flexure) characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element.
Bending stress: Bending stresses are those that bend the beam because of beam self-load and external load acting on it.
Beam is a structural member which is subjected to transverse load only.
Support and its types
Support is important aspect of structure while solving any any problem , support specify that how the forces within structure is transffered to the ground. It ultimetly tells us the boundary conditions while solving any finite element model.various supports are Fixed support-A fixed support is the most rigid support. It constrains …show more content…

This loading causes the member to bend and deflect from the original position with internal tensile and compressive strain.
Degree of freedom- Degree of freedom of a point is possible moment of that point due to loading in structure. Six possible degree of freedom for the element which are -

Translation in X, Y and Z direction. Rotation in X, Y and Z direction.

Types of loads- two types of loads are given below
Point load-load which is act on a point or location of body is point load

Uniformly distributed load- UDL is a kind of load which is spread over entire span of body or over a particular portion of the beam in some specific manner.

Uniformly varying load-UVL is load which spread over the length of body in such manner that load intensity varies at point to point along the length of body.

Simply supported beam is a beam supported on the both ends which are free to rotate. Bikes and bicycles are the daily life examples of this kind of beam

Cantilever beam is a beam which is fixing at one end and free at other end. Motorcycle kick is also example of cantilever …show more content…

Beam and max deflection of beams:
Beam type Loading on beam Maximum deflection on beam
Cantilever Beam with load P at the free end _max= (P l^3)/3EI

Cantilever Beam with UDL _max= (w l^4)/(8 EI)

Simply Supported beam with load P at the centre _max= (P l^3)/(48 EI)

Simply Supported beam with UDL _max= (5w l^4)/(384 EI)

Types of load- two types of loads are given below Workshop 6 beam with all cases
Pure bending is a condition of stress where a bending moment is applied to a beam without the presence of axial, shear or torsional forces.

Theory of simple bending(Assumptions) Material of beam is homogenous and Isotropic, Constant E in all direction Youngs Modulus will be constant in compression and tension. Transverse sections which are plain before bending remains plain after bending i.e eliminate strains in other directions. Initially beam is straight and all longitudinal filaments bend in circular arcs. Radius of curvature is larger compared with the Dimension of the cross section. Each layer of the beam is free to expand or contract otherwise they will generate internal

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