why there's a cross sectional area change in the middle ? i didnt see it . I just noticed that the cross sectional area is constant throughout the beam ...Chestermiller said:
You're saying you didn't notice a cross sectional area change in Fig. 3.11?chetzread said:
It has nothing to do with no shear force acting there. I has to do with the stress concentration at the change in cross sectional area.
yes , is there any cross sectional area change ? it's a straight beam , am i right ?Chestermiller said:
Are we looking at the same figure? I'm looking at Fig. 3.11. Do you not see a cross section change in the figure?chetzread said:
which is pure bending??.3.11 or 3.10 ?Chestermiller said:
Both.chetzread said:
Yes. So??
so , in 3.10,Chestermiller said:
Why do you persist in saying that a shear force is the cause of the stress concentration? It is not. In the center of the beam in both Fig. 3.10 and 3.11, there is no shearing force. In Fig. 3.11, there is no shearing force throughout the entire length of the beam. In Fig. 3.10, the shearing force is zero throughout the section that is inboard of the two loads P.chetzread said:
Pure bending is a type of load or force applied to a beam that causes it to bend without any accompanying twisting or shear force. This is often achieved by applying an equal and opposite force on either end of the beam, resulting in a uniform bending moment throughout the beam's length.
Shear force can have a significant impact on the behavior of a beam under pure bending. As the beam bends, shear forces are generated along the cross-section which can result in shear stresses and cause the beam to deform or fail. It is important to understand the effects of shear force in order to design beams that can withstand the applied load.
The key factors that influence pure bending behavior include the magnitude and location of the applied load, the material properties of the beam, and the beam's cross-sectional shape and dimensions. These factors determine the bending moment and shear forces experienced by the beam and ultimately affect its behavior.
Pure bending can be analyzed and calculated using the principles of statics and mechanics of materials. The applied load and boundary conditions are used to determine the bending moment and shear forces, which are then used to calculate the stress and strain in the beam. These values can be compared to the beam's material properties to determine its behavior under pure bending.
Pure bending is a common phenomenon in engineering and construction, particularly in the design of beams and other structural elements. It is used to analyze the behavior of bridges, buildings, and other structures under various loading conditions. Understanding pure bending is also important in the design of machine components such as shafts and axles.