Advanced Strength of
Materials: Lecture 10B
Lecturer: Dr. Nikolas Nordendale
Class: MAE 156A
Schedule: Spring 2026
Book: Advanced Mechanics of Materials and Applied Elasticity (5th Edition)
Authors: Ansel C. Ugural and Saul K. Fenster
Publisher: Pearson Educational (2012)
MAE 156A, UCLA 1
,Reminder: Final Exam
• Final Exam:
• Date: Wednesday, June 10, 2026
• Time: 8:00 a.m. – 11:00 a.m.
• Location: Boelter 2760 classroom
• Details:
Exam restrictions are consistent with original posted in the syllabus:
1. Closed-book, closed-note
2. You may use a graphing or scientific calculator
3. Equation sheets: 2 pieces of 8.5”x11” paper (front and back), can be hand-written or typed
4. You may not work with any other students
5. UCLA Conduct Code is in effect: If you are caught discussing the exam with anyone else during the
exam time, you will receive a 0 for the final.
MAE 156A, UCLA 2
,Review – For Final
• Area properties, superposition
• Review of forces in loaded beams, shear and moment diagrams.
• Stress and strain components in solids, transformation properties,
• Mohr’s circle, linear stress-strain relations.
• Two dimensional problems.
• Bending and shear stresses in straight beams, deflection of beams.
Indeterminate problems. Stresses in non-axisymmetric, composite and curved
beams.
• Torsion of cylinders with circular and non-rectangular cross sections.
• Stresses in circular cylinders subject to external loads and elevated
temperatures, pressure vessels, shrink-fit problems, rotating cylinders and disks.
• Energy methods.
• Strength and failure; yield criteria (Tresca, Von-Mises); fatigue failure – S/N
diagrams.
• Elastic buckling of columns.
MAE 156A, UCLA 3
, Axisymmetric Plane
Stress Problems
MAE 156A, UCLA 4
Materials: Lecture 10B
Lecturer: Dr. Nikolas Nordendale
Class: MAE 156A
Schedule: Spring 2026
Book: Advanced Mechanics of Materials and Applied Elasticity (5th Edition)
Authors: Ansel C. Ugural and Saul K. Fenster
Publisher: Pearson Educational (2012)
MAE 156A, UCLA 1
,Reminder: Final Exam
• Final Exam:
• Date: Wednesday, June 10, 2026
• Time: 8:00 a.m. – 11:00 a.m.
• Location: Boelter 2760 classroom
• Details:
Exam restrictions are consistent with original posted in the syllabus:
1. Closed-book, closed-note
2. You may use a graphing or scientific calculator
3. Equation sheets: 2 pieces of 8.5”x11” paper (front and back), can be hand-written or typed
4. You may not work with any other students
5. UCLA Conduct Code is in effect: If you are caught discussing the exam with anyone else during the
exam time, you will receive a 0 for the final.
MAE 156A, UCLA 2
,Review – For Final
• Area properties, superposition
• Review of forces in loaded beams, shear and moment diagrams.
• Stress and strain components in solids, transformation properties,
• Mohr’s circle, linear stress-strain relations.
• Two dimensional problems.
• Bending and shear stresses in straight beams, deflection of beams.
Indeterminate problems. Stresses in non-axisymmetric, composite and curved
beams.
• Torsion of cylinders with circular and non-rectangular cross sections.
• Stresses in circular cylinders subject to external loads and elevated
temperatures, pressure vessels, shrink-fit problems, rotating cylinders and disks.
• Energy methods.
• Strength and failure; yield criteria (Tresca, Von-Mises); fatigue failure – S/N
diagrams.
• Elastic buckling of columns.
MAE 156A, UCLA 3
, Axisymmetric Plane
Stress Problems
MAE 156A, UCLA 4
