For the circular hole in a uniaxially stressed plate shown in the figure below. Derive the stress equations using circular coordinates $r$, and $\theta$ centered on the hole., and write the compatibility equation for $\phi$
Added by Mary H.
Close
Step 1
The compatibility equation relates the strain components to the displacement components. In circular coordinates, the compatibility equation can be written as: ∂ε_r/∂r + (1/r)∂ε_θ/∂θ + ε_r/r = 0 where ε_r is the radial strain component and ε_θ is the Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 52 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If a flat plate with a circular hole is subjected to tensile force, then its theoretical stress concentration factor is?
Adi S.
A hole is to be punched in a steel plate 10 mm thick. The shear stress for the plate is 300 MPa and the greatest allowable compressive stress that can be permitted for the punch is 150MPa. Calculate the diameter of the largest hole that can be produced with these restraints. d =
Penny R.
From a unifrom disc of radius $R$, a circular section of radius $\frac{R}{2}$ is cut out. The centre of the hole is at $\frac{R}{2}$ from the centre of the original dise. Locate the centre of gravity of the resulting flat body. (a) $\frac{R}{6}$ to the right of centre $O$ (b) $\frac{R}{3}$ to the right of centre $O$ (c) $\frac{R}{3}$ to the left of centre $O$ (d) $\frac{R}{6}$ to the left of centre 0
Centre of Mass
Round 2
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD