Question
Download Solution PDFBased upon governing equation for the theory of pure bending which of the following is valid
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The equation for simple bending is given by:
\(\frac{M}{I} = \frac{σ}{Y} = \frac{E}{R}\)
\( \frac{I}{Y} = \frac{M}{σ} \)
\(Z = \frac{M}{σ} \)
\(M= {σ}\times {Z} \)
where I = Moment of Inertia, E = Modulus of Elasticity, σ = Stress at any fiber at a distance of y from the neutral axis, M = Bending moment, R = Radius of curvature, and Z = Section modulus
Additional Information Following are the assumptions made in the theory of Simple Bending:
- The material of the beam is homogenous and isotropic.
- The beam is initially straight, and all the longitudinal fibers bend in circular arcs with a common center of curvature.
- Members have symmetric cross-sections and are subjected to bending in the plane of symmetry.
- The beam is subjected to pure bending and the effect of shear is neglected.
- Plane sections through a beam, taken normally to the axis of the beam remain plane after the beam is subjected to bending.
- The radius of curvature is large as compared to the dimensions of the beam.
Last updated on Jul 1, 2025
-> JKSSB Junior Engineer recruitment exam date 2025 for Civil and Electrical Engineering has been rescheduled on its official website.
-> JKSSB JE exam will be conducted on 31st August (Civil), and on 24th August 2025 (Electrical).
-> JKSSB JE application form correction facility has been started. Candidates can make corrections in the JKSSB recruitment 2025 form from June 23 to 27.
-> JKSSB JE recruitment 2025 notification has been released for Civil Engineering.
-> A total of 508 vacancies has been announced for JKSSB JE Civil Engineering recruitment 2025.
-> JKSSB JE Online Application form will be activated from 18th May 2025 to 16th June 2025
-> Candidates who are preparing for the exam can access the JKSSB JE syllabus PDF from official website of JKSSB.
-> The candidates can check the JKSSB JE Previous Year Papers to understand the difficulty level of the exam.
-> Candidates also attempt the JKSSB JE Mock Test which gives you an experience of the actual exam.