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Course Name STRUCTURAL THEORY 2 Course Description The course covers the theory of structures analysis as applied to indeterminate structures such as indeterminate beams, planar and space frames and trusses subject to static loads; method of consistent deformation; three-moment equation; slope-deflection method; moment distribution; energy methods, matrix methods; and approximate method of analysis. Course Objectives After completing this course, the student must be able to: 1. Apply the fundamental principles of structural analysis for indeterminate structures. 2. Evaluate the structural behavior of indeterminate structures 3. Be analytical and systematic in the approach to problem solving 4. Prepare for design work

Theory II-lecture 1

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Page 1: Theory II-lecture 1

Course Name STRUCTURAL THEORY 2 Course Description The course covers the theory of structures analysis as applied to indeterminate structures such as indeterminate beams, planar and space frames and trusses subject to static loads; method of consistent deformation; three-moment equation; slope-deflection method; moment distribution; energy methods, matrix methods; and approximate method of analysis. Course Objectives After completing this course, the student must be able to: 1. Apply the fundamental principles of structural analysis for

indeterminate structures. 2. Evaluate the structural behavior of indeterminate structures 3. Be analytical and systematic in the approach to problem solving 4. Prepare for design work

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Course Outline 1. Review of deflections of structures 2. Introduction to statically indeterminate structures 3. Approximate analysis of statically indeterminate structures 4. Analysis of statically indeterminate structures by method of

consistent deformation; three-moment equation 5. Displacement method of analysis slope-deflection method;

moment distribution; 6. Introduction to matrix structural analysis

Suggested References Textbooks 1. Structural Analysis, 4th Ed, Prentice Hall 1999., N.J. By: Hibbler,

R. C. 2. National Structural Code of the Philippines, 5th ed.Association

of Structural Engineers of the Philippines, Manila 2001 by Association of Structural Engineers of the Philippines

References 1. Elementary Structural Analysis, 4th ed.McGraw-Hill Inc. N.Y. 1991 by Utku,

Senol, Norris C.H. and Wilbur, J.B. 2. The National Building Code of the Philippines and its Implementing Rules and

Regulations, Philippine Law Gazette, Manila, 2000 by Foz, V.B. ed 3. Introduction to Engineering Analysis, Prentice Hall, New Jersey, 2001 by

Hagen, K.D. 4. Introduction to Structural Analysis and Design, John Wiley & Sons, Inc. New

York, 2001 by Rajan, S.D. 5. Structural Analysis, A Unified Classical and Matrix Approach, 4th ed. E&FN

Spon, London 1997 by Gahli, A. And Neville A.M. 6. Theory of Structures, Vol. 11, Tata McGraw-Hill PublishingCo. Ltd., New Delhi,

1999 by Gupta, S.P., Pandit, G.S., and Gupta, R. 7. Structural Concepts and Systems for Architects and Engineers, 1981 by Lin, T.Y.

and Stotesbury, S.D.

8. Structural Analysis, 2nd Ed, Brooks/Cole Publishing Company,

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References 1. Elementary Structural Analysis, 4th ed.McGraw-Hill Inc. N.Y. 1991

by Utku, Senol, Norris C.H. and Wilbur, J.B. 2. The National Building Code of the Philippines and its Implementing

Rules and Regulations, Philippine Law Gazette, Manila, 2000 by Foz, V.B. ed

3. Introduction to Engineering Analysis, Prentice Hall, New Jersey, 2001 by Hagen, K.D.

4. Introduction to Structural Analysis and Design, John Wiley & Sons, Inc. New York, 2001 by Rajan, S.D.

5. Structural Analysis, A Unified Classical and Matrix Approach, 4th ed. E&FN Spon, London 1997 by Gahli, A. And Neville A.M.

6. Theory of Structures, Vol. 11, Tata McGraw-Hill PublishingCo. Ltd., New Delhi, 1999 by Gupta, S.P., Pandit, G.S., and Gupta, R.

7. Structural Concepts and Systems for Architects and Engineers, 1981 by Lin, T.Y. and Stotesbury, S.D.

8. Structural Analysis, 2nd Ed, Brooks/Cole Publishing Company,

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COURSE TITLE: CE 10-STRUCTURAL THEORY 2 (3 units)

Class Policies: 1. The requirements for the course are n problem sets, four (4) long exams,

one (1) midterm examination and a final examination. No credit will be given to late homework, or missed exams.

2. Final grade will be computed based on 1/3 of Midterm Grade plus 2/3 of Tentative grade.

3. MG or TG will be computed based on 10% attendance/participation, 20% average of problem sets, 40% long exam average, and 30% midterm or final exam.

4. The final grade corresponding to a student general average is given in the table below:

General Average

Final Grade General Average

Final Grade

90 – 100 1.0 65 – 69.9 2.2

85 – 89.9 1.2 60 – 64.9 2.5

80 – 84.9 1.5 55 – 59.9 2.7

75 – 79.9 1.7 50 – 54.9 3.0

70 – 74.9 2.0 0 – 49.9 5.0

Grading System:

96.00 – 100.0 % = 1.0 93.00 – 95.99 % = 1.2 89.00 – 92.99 % = 1.5 86.00 – 88.99 % = 1.7 82.00 – 85.99 % = 2.0 79.00 – 81.99 % = 2.2 75.00 – 78.99 % = 2.5 72.00 – 74.99 % = 2.7 65.00 – 71.99 % = 3.0 Below 65 % = 5.0

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8. A student may officially drop not later than the last day of dropping. A student is considered officially dropped only upon submission of the Instructor’s Copy of the dropping slip to his instructor/professor. A student whose class standing is failing and who is unable to take the midterm examination for any reason will be given a grade of 5.0 if the course was not officially dropped.

Grading System:

96.00 – 100.0 % = 1.0 93.00 – 95.99 % = 1.2 89.00 – 92.99 % = 1.5 86.00 – 88.99 % = 1.7 82.00 – 85.99 % = 2.0 79.00 – 81.99 % = 2.2 75.00 – 78.99 % = 2.5 72.00 – 74.99 % = 2.7 65.00 – 71.99 % = 3.0 Below 65 % = 5.0

5. All examinations shall be closed books and notes 6. Problem sets/ home works will be collected at the start of the class on its due

date. No problem set/homework will be accepted after the due date. 7. Notes on computation

a. All exams and problem sets must be written on 8.5” x 13” bond paper and stapled on the upper left hand corner.

b. Use black or blue pen for writing. Do not use pencil or red ink pen. c. At the beginning of each problem, summarize the given data and state

what is required. Enclose final answer in a box.

Class Policies:

COURSE TITLE: CE 10-STRUCTURAL THEORY 2 (3 units)

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CE10-Structural Theory 2

Intro to structural analysis & loads LECTURE 1

• RESULTANT AND EQUILIBRIUM OF COPLANAR FORCE SYSTEMS CONCURENT FORCES PARALLEL FORCES NON CONCURRENT/NON – PARALLEL FORCES

Engr. L.T.Tonio

Instructor: Engr. Lowie Jay T. Tonio

Email address: [email protected]

Yahoo group: CE-10 (CSU 2014)

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Structural analysis is the prediction of the

performance of a given structure under prescribed loads and/or other external effects, such as support movements and temperature changes. The performance characteristics commonly of interest in the design of structures are (1) stresses or stress resultants, such as axial forces,

shear forces, and bending moments; (2) deflections; and (3) support reactions.

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Structural engineering is the science and art of planning, designing, and constructing safe and economical structures that will serve their intended purposes.

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CODES

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TWO TYPES OF CODES

GENERAL BUILDING CODES. Specify the requirements of governmental bodies for minimum design loads on structures and minimum standards for construction

DESIGN CODES. Provide detailed technical standards and used to establish the requirements for the actual structural design.

The ultimate responsibility for the design lies with the structural engineer.

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National Structural Code of the Philippines (NSCP)

CODES

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IDEALIZED STRUCTURES

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ANALYTICAL MODELS

An analytical model is a simplified representation, or an ideal, of a real structure for the purpose of analysis. The objective of the model is to simplify the analysis of a complicated structure.

LINE DIAGRAM

A representation of the analytical model of the two or three dimensional body selected for analysis

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LINE DIAGRAM

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EXAMPLE Frame used to support a typical floor slab

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EXAMPLE Fixed-connected members

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EXAMPLE Reinforced concrete structures

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EXAMPLE Timber structures

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TRIBUTARY LOADINGS

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Two ways how load on flat surfaces is transmitted to supporting structural elements

ONE-WAY SYSTEM

According to ACI 318 code, if L2 > L1 and if the span ratio (L2/L1) > 2, the slab will behave as a one-way slab.

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Two ways how load on flat surfaces is transmitted to supporting structural elements

TWO-WAY SYSTEM

According to ACI 318 code, if the span ratio (L2/L1) ≤ 2, the slab is referred to as a two-way slab.

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Two ways how load on flat surfaces is transmitted to supporting structural elements

TWO-WAY SYSTEM

According to ACI 318 code, if the span ratio (L2/L1) ≤ 2, the slab is referred to as a two-way slab.

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EQUIVALENT UNIFORM LOAD FOR MAXIMUM BENDING MOMENT

S/L ≥ 0.5 or (L2/L1) ≤ 2 Let L = long span S = short span m = S/L

Equivalent Uniform Load of Trapezoidal Pattern

2

3

3

2mwSwe

Equivalent Uniform Load of Triagular Pattern

3

wSwe

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THEORY II-LAB STRUCTURAL ANALYSIS OF A

TWO-STOREY BUILDING

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PLATE 1 (the longer the delay, the lower your grade will be) Given: FRAMING PLAN - AUTOCAD, REVIT ARCHITECHTURE, SKETCH UP, etc.

for the meantime, submit a manual drawing of the framing plan which will be submitted on Monday, Nov 10, 2014. - Show how the load on the flat slab is transmitted to

the various structural elements Req’d: MINIMUM DESIGN LOADS & MINIMUM DIMENSIONS OF

STRUCTURAL ELEMENTS - (for verification purposes, specify which section of the

NSCP you based your preliminary design) Group presentation is on November 17, 2014. copies of CAD software, tutorials and NSCP code 2010 will be given-provide USB For further info/questions don’t hesitate to consult me in the faculty room. THANK YOU.

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Dimension of Structural Members Slab thickness -125 mm Columns -300 mm x 300 mm BEAMS -250 mm x 400 mm -along grid A’ & 1’ 150 mm x 350 mm