Structure Analysis II Structural Analysis II ECIV 3315

Structure Analysis II

Structural Analysis II (ECIV 3315) Course Outline Second Semester 2010 -2011

Structural Analysis II • Course Details – Course title: Structure Analysis II – Course code: ECIV 3315 – Prerequisites: Structure Analysis I (ECIV 3314) • Instructor – Dr. Mohammed Arafa • Teaching Assistant – Eng. Husein – Eng. Nehal Al-Nemer

Objectives • This Course aims at teaching the students the concept of analyzing indeterminate structure using classical and up to date methods. • It provides students with an understanding of the methods of analyzing indeterminate structure: – The force method of analysis – The Displacement method • Slope deflection • Moment distribution • Stiffness Method (An Introduction to The Finite Element Method)

Syllabus • Force Method of Analysis – Beams – Frames – Trusses • Slope-Deflection Equations – Beams – Frames • No Sidesway • Sidesway

Syllabus • Moment Distribution – Beams – Frames • No Sidesway • Sidesway • Stiffness Methods (An Introduction to FEM) – Beams – Frames – Trusses

Course Materials • Lecture Notes – Power points slides – Handout sheets • Text Book – STRUCTURAL ANALYSIS II, 7 th Edition (2009) by R. C. Hibbeler TEXTBOOK’S INTERNET SITE: http: //www. pearsonhighered. com/bookseller/product/Structural. Analysis/9780136020608. page

Reference • Any Structural Analysis Book • Structural Analysis, by Jack Mc. Cormac, Harper & Row Publisher, New York, 1984 • Fundamental of Structural Analysis, by H. West and L. Geschwindner, John Wihley & Sons, Inc. , 1993.

Grading Policy • Homework and Quizzes • Midterm Exam • Final Exam 20% 30% 50% Exams Dates: Midterm Exam will be announced by the department Final Exam:

Introduction • What is statically DETERMINATE structure? – When all the forces (reactions) in a structure can be determined from the equilibrium equations its called statically determinate structure – Structure having unknown forces equal to the available equilibrium equations No. of unknown = 3 No. of unknown = 6 No. of equilibrium equations = 3 No. of equilibrium equations = 6 3 = 3 thus statically determinate 6 = 6 thus statically determinate

Introduction • What is statically INETERMINATED structure – Structure having more unknown forces than available equilibrium equations – Additional equations needed to solve the unknown reactions No. of unknown = 4 No. of unknown = 10 No. of equilibrium equations = 3 No. of equilibrium equations = 9 4 3 thus statically Indeterminate 10 9 thus statically Indeterminate

Indeterminate Structure Why we study indeterminate structure – Most of the structures designed today are statically indeterminate – Reinforced concrete buildings are considered in most cases as a statically indeterminate structures since the columns & beams are poured as continuous member through the joints & over the supports – More stable compare to determinate structure or in another word safer. – In many cases more economical than determinate. – The comparison in the next page will enlighten more

Contrast Stress Deflection Determinate Structure Indeterminate Structure Considerable compared to indeterminate structure Generally smaller than determinate structure P P 4 1 High moment caused thicker member Less moment, smaller cross section & more material needed & less material needed P P 2 1 15

Stability in case of over load Contrast Determinate Structure Indeterminate Structure Support will not develop the horizontal force & moments that necessary to prevent total collapse Will develop horizontal force & moment reactions that will hold the beam No load redistribution Has the tendency to redistribute its load to its redundant supports When the plastic hinge formed certain collapse for the system When the plastic hinge formed the system would be a determinate structure P P Plastic Hinge

Contrast Differential Displacement Temperature Determinate Structure No effect & no stress would be developed in the beam P No effect & no stress would be developed P Indeterminate Structure Serious effect and stress would be developed in the beam P Serious effect and stress would be developed P