EMEC420 Solid Mechanics II: Plates with Noncircular Holes Project 2 Assessment Answer

In this project, we are learning about stress concentration on plates with non-circular holes.

Two hole geometries are being analyzed. Ellipse with a/b= 2 and slot geometry with h/c=20 and circular ends with r=1mm and r= 3mm. Please look at the accompanying paper uploaded in blackboard. Material of the pate is elastic carbon steel.

Part 1:

Starting with hole and slot orientations at 90 degrees:

Case 1: Apply uniaxial load of 300 kN Case 2: Apply equal bi-axial loads 300kN

Case 3: Apply bi-axial loads 300kN and -300kN calculate stress concentration factor for all cases Analysis:

Tabulate all results neatly and organized.

Plot case 1 against theoretical value for plate with circular hole from plot A-15-1 above. Plot cases 2 and 3 to show effect of addition of biaxial loads and variation of load direction

Part 2:

Starting with hole and slot orientations at 45 degrees:

Case 1: Apply uniaxial load of 300 kN Case 2: Apply equal bi-axial loads 300kN

Case 3: Apply bi-axial loads 300kN and -300kN calculate stress concentration factor for all cases Analysis:

Tabulate all results neatly and organized.

Plot case 1, part 1 and part 2

Plot cases 2 and 3, for part 1 and part 2

Discussion and conclusions:

1. discuss results for part 1 compared to circular hole in the same plate
2. compare effect of ellipse to thin slot (crack like)
3. compare effect of rotating the ellipse and slot with respect to the direction of loading.
4. Future analysis you wished you should have done to confirm results (eg. Rotating to -45 deg or other angles)