tailieunhanh - Fundamentals of Machine Design P5

The elements of a force system acting at a section of a member are axial force, shear force and bending moment and the formulae for these force systems were derived based on the assumption that only a single force element is acting at the section. shows a simply supported beam while shows the forces and the moment acting at any cross-section X-X of the beam. The force system can be given as: Axial force | Module 2 Stresses in machine elements Version 2 ME IIT Kharagpur Lesson 2 Compound stresses in machine parts Version 2 ME IIT Kharagpur Instructional Objectives At the end of this lesson the student should be able to understand Elements of force system at a beam section. Superposition of axial and bending stresses. Transformation of plane stresses principal stresses Combining normal and shear stresses. Introduction The elements of a force system acting at a section of a member are axial force shear force and bending moment and the formulae for these force systems were derived based on the assumption that only a single force element is acting at the section. shows a simply supported beam while shows the forces and the moment acting at any cross-section X-X of the beam. The force system can be given as P Axial force o A My Bending moment p Shearforce T VQ It Torque t r where o is the normal stress t the shear stress P the normal load A the crosssectional area M the moment acting at section X-X V the shear stress acting at section X-X Q the first moment of area I the moment of inertia t the width at which transverse shear is calculated J the polar moment of inertia and r the radius of the circular cross-section. Version 2 ME IIT .