ENGRMAE 150 Mechanics of Structures (2017-2018)

ENGRMAE 150 Mechanics of Structures

(Required for AE, ME and MSE. Selected Elective for ChE.)
Catalog Data:

ENGRMAE 150 Mechanics of Structures (Credit Units: 4) Stresses and strains. Torsion. Bending. Beam deflection. Shear force and moment distributions in beams. Yielding and buckling of columns. Combined loading. Transformation of stresses and strain. Yielding criteria. Finite elements analysis frames. Dynamic of two-bar truss. Prerequisite: CEE30/ENGR30/MAE30; Mathematics 3A. Aerospace Engineering, Chemical Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment. Same as ENGR 150. Only one course from ENGRMAE 150, ENGR 150, ENGRCEE 150 may be taken for credit. (Design units: 2)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0136022305.

Recommended Textbook:
  • Beer and Johnson, Mechanics of Materials, 5th Ed., McGraw-Hill, 2009.
  • Chandrupatla and Belegundu, Introduction to Finite Elements In Engineering, 3rd ed., Prentice Hall, 2001.
Farghalli A. Mohamed and John C. LaRue
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:
Prerequisites by Topic

Newtonian mechanics, kinematics and dynamics of motion. Statics of solid bodies and structures. Differential and integral calculus of real functions in real variables. Linear algebra: elementary matrix manipulations. Familiarity with scientific programming.

Lecture Topics:
  • Stresses; Stress in Axially Loaded Members (1 week)
  • Strains; Stress-Strain Diagram; Axial Deformation (1 week)
  • Torsion (1 week)
  • Shear Force and Bending Moment Diagrams (1 week)
  • Bending Stress in Beams (1 week)
  • Transverse Loading and Shearing Stress in Beams (1 week)
  • Stresses Under Combined Loading (1 week)
  • Transformation of Stresses; Design of Beams (1 week)
  • Deflection of Beams; Statically Indeterminate Problems (1 week)
  • Columns (1 week)
Class Schedule:

Meets for 3 hours of lecture and 1 hour of discussion each week for 10 weeks.

Computer Usage:

Students will use a commercial programming language (e.g. MATLAB) to write a finite element code that allows the solution of arbitrarily complex trusses and frames.

Laboratory Projects:


Professional Component

Contributes towards the Aerospace and Mechanical Engineering Design.

Design Content Description

Various design projects: For example, students will design, fabricate and test a minimum-weight truss structure that satisfies prescribed load-bearing requirements, subject to other design constraints. Students will design, fabricate and test a minimum-weight truss structure that satisfies prescribed load-bearing requirements subject to other design constraints. In addition to this, the design activity involves short design problems which are incorporated into the homework assignments and which introduce the phases of design. These problems address: (a) factor of safety and allowable stresses, (b) basic considerations for the design of prismatic beams, and (c) factors involved in the design and use of pressure vessels.

Lectures: 100%
Laboratory Portion: 0%
Grading Criteria:
  • Problem Sets: 35%
  • Design Project: 10%
  • Midterm Exam: 25%
  • Final Exam: 30%
  • Total: 100%
Estimated ABET Category Content:

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 4.0 credit units

Engineering Science: 2.0 credit units

Engineering Design: 2.0 credit units

August 23, 2017
Senate Approved:
May 2, 2013
Approved Effective:
2013 Fall Qtr