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Mechanical principles of static engineering systems
Published in Alan Darbyshire, Charles Gibson, Mechanical Engineering, 2023
Alan Darbyshire, Charles Gibson
When you are plotting shear force and bending moment diagrams, you will see that: The maximum bending moment always occurs where the shear force diagram changes sign.The area of the shear force diagram up to a particular section gives the bending moment at that section.Under certain circumstances, the bending moment changes sign and this is said to occur at a point of contraflexure.
Mechanical Nanosensors
Published in Vinod Kumar Khanna, Nanosensors, 2021
A bending moment is a term used to describe the force or torque exerted on a material and leads to the event of bending or flexure within that material. Moments, internal or external, are rotation equivalents of forces, equal to force times distance. The bending moment in a beam is the moment, internal to the beam, necessary to counteract externally applied moments. The bending moment at a section through a structural element is defined as the sum of the moments about that section of all external forces acting to one side of that section. Without application of any external momentum, the total bending moment = the moment due to internal forces, which are only nonvanishing in the z direction: M=Mz=∫AyσxdA=k∫Ay2dA
Sections
Published in Rob Whitehead, Structures by Design, 2019
The formula is elegantly inclusive of many complicated variants. Any changes in the magnitude or location of supports and/or loading are reflected in maximum moment value (M). Allowable bending stress values (fb) are an accurate reflection of how “strong” certain materials are under bending (allowing designers to compare the capacity of a material to resist bending under these conditions). The section modulus (S) is measurement of a beam’s relative effectiveness to resist bending that considers the overall depth and the distribution of material together (i.e., it isn’t just a measurement of depth, it measures how much area is distributed towards the outer edges). This follows intuitive reasoning: if a beam’s bending moment increases, it would either need to be made out of a different material with a higher resistance to bending or it would need to change its section (or both). (Figure 3.0.16)
A Modelling approach for determining the throughput capacity and energy consumption of a cassava tuber shredder
Published in Journal of the Chinese Advanced Materials Society, 2018
Ekene Clifford Igboayaka, M. C. Ndukwu, Innocent Chinedu Ernest
The following were the assumptions underlying the development of the modelsThe shredder unit will be loaded to full capacity and half of the capacity of the machine during this operation.The maximum bending moments, on the shaft, is determined based on the concept that bending moment is maximum at any section of a beam where resultant shear force is either zero or changes sign.[18]Shredding of the cassava takes place when the peeled cassava meets the shredding disc from the slanted collar.All the cassava was boiled at the same steaming time for all the experiment during validation of the model.