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### Revision

1. 1. Important Laws in Structure<br />VIP Revision<br />
2. 2. β=ππΈ<br />πΎ=ββπ¦βπ₯<br />βπ₯=ππ₯πΈβπΎππ¦πΈ+ππ§πΈ+πΌπ<br />βπ¦=ππ¦πΈβπΎππ₯πΈ+ππ§πΈ+πΌπ<br />βπ§=ππ§πΈβπΎππ₯πΈ+ππ¦πΈ+πΌπ<br />Β <br />
3. 3. Bars<br />π=ππ΄ Average Stress<br />β=ππΈπ΄<br />ππ’ππ₯=β<br />βπ=βπ<br />Β <br />
4. 4. shafts<br />π=πππΊπ½<br />πΊ=πΈ2(1+πΎ)<br />ππππ₯=πππ½<br />π½=π2π4 For Circular Sections.<br />=ππ‘33 For Thin Structure.<br />Β <br />
5. 5. Deflection of Beams<br />π=βπ2πππ₯2πΈΒ π¦<br />=βππ¦πΌ Special Case when πΈ=ππππ π‘.<br />π=ππππ₯<br />π=ππππ₯<br />πΈπΌπ2πππ₯2=π<br />π2ππ₯2πΈπΌπ2πππ₯2=π<br />Β <br />
6. 6. Mohr circle<br />ππππ₯<br />Β <br />C = ππ₯+ππ¦2<br />R = (ππ₯π¦)2+(ππ¦βππ₯2)2<br />Β <br />ππ₯π¦<br />Β <br />c<br />ππππ₯<br />Β <br />ππ₯<br />Β <br />ππππ<br />Β <br />ππ¦<br />Β <br />
7. 7. Thin walled Vessel<br />πh=2ππ=πππ‘<br />Β <br />
8. 8. References<br />Lectureβs notes of Dr. Mohammad Tawfik:<br />Cairo university<br />Assistant Professor Β· February 2010 to present Β· Giza, Al Jizah, Egypt<br />Aerospace Engineering Department<br />Emirates Aviation College<br />Assistant Professor Β· October 2008 to January 2010 Β· Dubai, United Arab Emirates<br />Cairo university<br />Adjunct Professor Β· November 2005 to January 2010 Β· Cairo, Egypt<br />The British University in Egypt<br />Assistant Professor Β· September 2007 to August 2008<br />German University in Cairo<br />Assistant Professor Β· August 2003 to September 2007<br />
9. 9. With our Best Wishes.<br />Thank You.<br />Made by NIXTY group.<br />