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Architectural Mechanics
Changwen MI, PhD
Department of Engineering MechanicsSchool of Civil Engineering
Southeast University
Sipailou 2#, Civil Engr. Rm. #811
Nanjing, Jiangsu 210096
(phone) 83792248, (email) [email protected]

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Instructor: Changwen MI Associate Professor of Engineering Mechanics
Contact Info: Office: Yifu Architectural Bldg. Rm. 811
Phone: 02583792248
Email: [email protected]
Office Hours: by appointmentClass Schedule Tuesday 08501125,中山院408
Text: Not required.
References: 1. Vector Mechanics for Engineers: Statics, by F. P. Beer, E. R.
Johnston and E. R. Eisenberg, 8th Ed., 2007, McGraw Hill
(ISBN: 007297687X)2. Mechanics of Materials, by by F. P. Beer, E. R. Johnston and J.
T. Dewolf, 5th Ed., 2009, McGraw Hill (ISBN: 0073529389)
3. Structural Mechanics, by Bao Shihua and Gong Yaoqing,
Wuhan University of Technology Press, 2007.
Course Webpage: http://em2.yolasite.com
Architectural Mechanics (Spring 2016, 3 credits)
A. General information
mailto:[email protected]://em2.yolasite.com/statics.phphttp://em2.yolasite.com/statics.phphttp://em2.yolasite.com/statics.phpmailto:[email protected]

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B. Catalog Course Description
• Introduction to architectural mechanics
• Statics of particles• Rigid bodies: equivalent systems of forces
• Equilibrium of rigid bodies
• Internal forces of determinate structures
• Axial loading of prismatic bars; concept of stresses & strains
• Shearing & Bearing
• Torsion of circular shafts
• Bending internal forces & stresses
• Bending deflections
• Stress states and strength theory• Combined loading
• Column buckling
• Force Method
• Displacement method
• Moment distribution method

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Present work in a comprehensive, neat, and orderlyfashion to receive full credit.
Work must be turned in by the due date unless prior
arrangements are made.
The assignments are weighted as follows:
Assignment category Percentage
Homework 50%Final exam 50%
Course total 100%
C. Grading Policy

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Architectural Mechanics is to analyze the
response of rest bodies and structures to
forces.
Statics, Mechanics of Materials and Structural
Mechanics are parts of
the Architectural Mechanics
§1 Objectives of Architectural Materials

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Mechanics can be defined as that science which describes and predicts
the conditions of rest or motion of bodies under the action of forces. It is
divided into three parts: mechanics of rigid bodies, mechanics of
deformable bodies & structures, and mechanics of fluids.
The mechanics of rigid bodies is subdivided into statics and dynamics, the
former dealing with bodies at rest, the latter with bodies in motion. In this
part of the study of mechanics, bodies are assumed to be perfectly rigid.
Actual structures and machines, however, are never absolutely rigid anddeform under the loads to which they are subjected. But these
deformations are usually small and do not appreciably affect the conditions
of equilibrium or motion of the structure under consideration. They are
important, though, as far as the resistance of the structure to failure is
concerned and are studied in mechanics of materials, which is a part of the
mechanics of deformable bodies. The third division of mechanics, the
mechanics of fluids, is subdivided into the study of incompressible fluids
and of compressible fluids. An important subdivision of the study of
incompressible fluids is hydraulics, which deals with problems involving
water.

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Mechanics is a physical science, since it deals with the study
of physical phenomena. However, some associate mechanics
with mathematics, while many consider it as an engineeringsubject. Both these views are justified in part. Mechanics is
the foundation of most engineering sciences and is an
indispensable prerequisite to their study. However, it does not
have the empiricism found in some engineering sciences, thatis, it does not rely on experience or observation alone; by its
rigor and the emphasis it places on deductive reasoning it
resembles mathematics. But, again, it is not an abstract or
even a pure science; mechanics is an applied science. Thepurpose of mechanics is to explain and predict physical
phenomena and thus to lay the foundations for engineering
applications.

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Then, what is the Body anyway?
(1) Particle: Point Mass
(2) Rigid Body: Mass + Volume, but No Deformation
(3) Deformable Body: Mass + Volume + Deformation
(4) Deformable Structure: Structure + Deformation
(c.f.) This course does not deal with Bodies/Structures in Motion.
Statics: The Analysis of Bodies at Rest
Dynamics: The Analysis of Bodies in Motion
Mechanics of Materials: The Analysis of Deformable Bodies
Structural Mechanics: The Analysis of Deformable Structures, often
are statically indeterminate
Mass Points Rigid Bodies Deformable Solids Deformable Roof Trusses

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Structures Composed of Prismatic Bars
1. Space (3D) Structures: Bars/loads don’t belong to the same plane
2. Plane (2D) structures: Bars/loads belong to the same plane
Classification of Plane Structures Composed Prismatic Bars
1. Bar
2. Beam
3. Curved Beam (arch)
4. Plane Frame
5. Truss
6. Suspendedcable structure

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§2 Loads & Restraints and Freebody Diagram
Concept of Loads:
• force: action of one body on another;
characterized by its point of application,
magnitude, line of action, and sense.
• Moment M O of a force F applied at the
point A about a point O ,
F r M O
• Scalar moment M OL about an axis OL is
the projection of the moment vector M O
onto the axis,
F r M M OOL

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Classification of Loads:
Criteria Classification
Exerting Objects Active/restraint Loads
Size of Acting Scope Concentrated/Distributed Loads
Dimensions of Distributed Loads Volume/Surface/Line Loads
Acting Period Instantaneous(Live)/Constant Loads
Constancy w.r.t. Time Static/Dynamic Loads
Characteristics External Loads → Internal Forces

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Restraints:
① Fixed support
② Hinged or pinned supportF Ry
F Rx
③ Roller support F Ry
M R
F Rx
F Ry

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Space Diagram vs. FreeBody Diagram
Space Diagram: A sketch
showing the physicalconditions of the problem.
FreeBody Diagram: A sketch
showing only the forces on theselected particle.