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

Pages: 4 Words: 890

## Question :

Project 2#
Plates with noncircular holes
 Course Code: EMEC420 Course Name: Solid Mechanics II Semester & Year: Spring 2019

 Directions Provide your answer to each of the following problems. You must clearly and neatly show your work in the provided space after each problem to qualify for full credit.Homework should be submitted with this booklet.One objective of your homework is to communicate, so neatness counts. 20% will be deducted for lack of neatness or not following the directions.Late submissions will not be accepted.Solve these problems on your own, by hand,Notes and textbook are allowed.Your work must be original: no copying from any other term or any other class, and no copying from any classmate.

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)