Answered: How is parabolic shear-stress…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Question

How is parabolic shear-stress distribution and Linear normal stress distribution created?

Expert Solution

Step 1

The parabolic shear stress distribution is mainly observed in transverse shear stress cases. Transverse shear stresses are mainly generated due to the effect of change in Bending Moment. The change in bending moment will induce shear force which in turn further induces shear stresses which are transverse in nature.

Transverse shear stress for any beam of any cross section can be calculated with this formula:

$τ = \frac{FA \bar{y}}{bI} where F = shear force at any section A \bar{y} = moment of area of that particular section above y about NA \bar{y} = distance of centroid of area measured above y from NA I = Moment of inertia about NA b = width of cut For any rectangular section shear stress distribution and shear force can be given as τ = \frac{6 F}{{bd}^{3}} (\frac{d^{2}}{4} - y^{2}) b = width of section d = depth of section$

Step by step

Solved in 2 steps with 1 images

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions