integral short tricks

 dear students i have developed various videos for  INTEGRALS  short tricks at youtube 

i hope this videos series will help IIT JEE aspirants

pls give me suggestions and feedbacks on that 

here is the link 

 https://www.youtube.com/watch?v=BYLqZy0nqlc&list=PL0qfY57Qz_mfGpw1e3vrxgmbhubXyftRV&pp=gAQB

Short tricks for GATE Exam

dear students i have developed various videos for GATE Math's short tricks at youtube 

i hope this videos series will help GATE aspirants

pls give me suggestions and feedbacks on that 

here is the link 

https://www.youtube.com/watch?v=1v5yBqO_8jA&list=PL0qfY57Qz_meA-b2ebAsPcCZlDuszEoB_&pp=gAQB

Numerical Methods Series

 dear friends

i have started new video series on numerical methods pls comment for suggestions and feedback https://www.youtube.com/watch?v=t8lr4MXOwY0&list=PL0qfY57Qz_mdNDkqgPwHCQlfxOTw-mW1_&pp=gAQ

JEE Math short tricks

 dear students i have developed various videos for JEE Math's short tricks at youtube 

i hope this videos series will help  IIT JEE  aspirants

pls give me suggestions and feedbacks on that 

here is the link 

 https://www.youtube.com/watch?v=rhjJoHfkgrU&list=PL0qfY57Qz_meT-fqcIGp6P3ivyceSTvuh&pp=gAQB

GATE Mathematics short tricks

 dear students i have developed various videos for GATE Math's short tricks at youtube 

i hope this videos series will help GATE aspirants

pls give me suggestions and feedbacks on that 

here is the link 

 

https://www.youtube.com/watch?v=Q6GINlTqZWc&list=PL0qfY57Qz_mcav6gdvMHOsRJFbyzg76CU&pp=gAQB

principalstressandprincipalstrain

Principal stresses are the maximum and minimum normal stresses experienced at a point within a material, which act on planes where the shear stress is zero. 

Similarly, principal strains are the maximum and minimum normal strains that occur at that point, aligned with the principal stress directions in many common material

Principal stress and principal strain are fundamental concepts in structural engineering and design, underpinning the evaluation and analysis of materials and structures. Integral to the safety and stability of various applications, these terms reflect the internal forces and deformations that materials undergo when subjected to external loads. The significance of understanding these concepts is echoed in the applications of the principal stress formula and principal strain equation, tools that allow professionals to assess and mitigate potential risks in design.

Principal stress represents the maximum and minimum normal stresses that occur within a material when subjected to complex loading conditions. It is essential to understand this concept as it provides insights into the material’s response and its potential points of weakness. When materials are subjected to multi-directional stresses, determining the principal stress can reveal the most severe stress concentrations, which are critical to avoiding structural failures.

Principal strain represents the maximum and minimum values of strain experienced in a material subjected to loading. Understanding strain is crucial as it offers insights into material deformation – how much a material stretches or compresses under applied stresses.

 

Applications of Friction in Machines

 Applications of Friction in Machines

We investigate the action of friction in various machine applications. Because the conditions in these applications are normally either limiting static or kinetic friction, 

Wedges

 A wedge is one of the simplest and most useful machines. A wedge is used to produce small adjustments in the position of a body or to apply large forces. Wedges largely depend on friction to function. When sliding of a wedge is impending, the resultant force on each sliding surface of the wedge will be inclined from the normal to the surface by an amount equal to the friction angle. The component of the resultant along the surface is the friction force, which is always in the direction to oppose the motion of the wedge relative to the mating surfaces. 

Screw friction

A screwjack is a device used for lifting or lowering heavy loads by applying comparatively smaller efforts at the end of the lever. The thread of a screw jack may be considered as an inclined plane wound round a cylinder and the principles used in solving problems on inclined plane can be applied to solve problems involving screw friction