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Topic: Statically indeterminate


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  Statically indeterminate - Wikipedia, the free encyclopedia
In statics, a structure is statically indeterminate when the static equilibrium equations are not sufficient for determining the internal forces and reactions on that structure.
Considerations in the material properties and compatibility in deformations are taken to solve statically indeterminate systems or structures.
Thus, in general, the static indeterminacy of structural systems depends on the internal structure as well as on the external supports.
en.wikipedia.org /wiki/Statically_determinate   (386 words)

  
 Static Muscle Loading using Equilibrium
A body is said to be in static equilibrium if the sum if all the forces acting on the body are balanced and all the moments acting on the body are balanced separate from the forces.
As a simple example for the reduction approach, consider the indeterminate system we consider with the forearm holding a weight.
Indeterminancy arises because we have 5 unknowns and only three equations.
www.engin.umich.edu /class/bme456/muscleforce/static1.htm   (1745 words)

  
 Lecture 14
A structure is statically indeterminate when the number of unknowns exceeds the number of equilibrium equations in the analysis.
Statically determinate structures have a tendency to redistribute its load to redundant supports in the case of faulty design or overloading occurs.
The truss is statically determinate however the interior is indeterminate.
stommel.tamu.edu /~esandt/Teach/Spring00/CVEN345/Lecture/lecture14.html   (452 words)

  
 [CUED] Anthony Leung's Homepage - Planar Kagome Lattice Actuation Theory
It is found that a parent pin-jointed truss with mechanisms (or kinematically indeterminate) gives rise to a daughter rigid-jointed structure that has a bending dominated response.
A parent pin-jointed truss which allows self-stresses to build up (or statically indeterminate) produces a daughter rigid-jointed structure that has a stretching dominated response.
Statically indeterminate structures, such as one that is fully triangulated (Fig.
www2.eng.cam.ac.uk /~achl5/more.html   (487 words)

  
 Collapse Considerations and Electrical Analogies for Statically Indeterminate Structures   (Site not responding. Last check: 2007-10-09)
It is a commonly held belief that increased levels of statical indeterminacy equip structures with enhanced factors of safety against collapse.
The first part of this paper is in the nature of a review of research into two forms of highly statically indeterminate structure, namely the steel space truss and the reinforced concrete frame, which challenges this received wisdom.
It is concluded that care must be exercised in relying on statical indeterminacy to provide fail-safe characteristics, and that future research should focus on optimizing the balance between indeterminacy and stability in structures.
www.pubs.asce.org /WWWdisplay.cgi?0413147   (377 words)

  
 Consistent Deformations - Force Method - Indeterminate Frame Vertical Reaction   (Site not responding. Last check: 2007-10-09)
The modulus of elasticity (E) and the moment of inertia (I) are constant for the entire structure.
The structure is statically indeterminate to the first degree(r=4, e=3, n = r-e = 4-3 = 1).
To solve for this single degree of indeterminacy, the structure has to be reduced to a statically determinate and stable structure.
www.public.iastate.edu /~fanous/ce332/force/cdframefr.html   (498 words)

  
 Undergraduate Programs
Indeterminate systems, three-moment equations, computer application of structural analysis.
Fundamental concepts; fluid statics; properties of fluid in motion; fluid flows through orifices, weirs, venturi meters; laminar and turbulent flow in closed conduits; flow in open channels; turbomachinery; measurement in fluid mechanics and hydraulics.
The analysis of statically determinate trusses and frames.
www.iit.edu /~ce/academics/undergrad/under_course.htm   (684 words)

  
 MDSolids: Educational Software for Mechanics of Materials
Statically determinate trusses can be analyzed for internal axial forces.
Optionally, normal stresses can be computed for the truss members, or given a stress limit, the required area for each member can be computed from the results of the truss analysis.
This module considers statically indeterminate axial structures comprised of two members.
www.mdsolids.com /features.htm   (2039 words)

  
 Civil Eng'g - 3rd Year Course Description
Analysis of statically indeterminate beams using the method of elastic loads: beams with variable inertia; beams on clastic supports.
Analysis of statically indeterminate structures using the method of three moments equation: continuous beams, beams on elastic supports, frames without side sway.
Analysis of statically indeterminate beams and frames by method of column analogy, the analogous column section.
www.bau.edu.lb /faculties/Eng/civil3.html   (469 words)

  
 Lecture 31   (Site not responding. Last check: 2007-10-09)
The first two types are statically determinate, meaning that the reactions, shears and moments can be found by the laws of statics alone.
The internal forces of these beams cannot be found using the laws of statics alone.
Early structures were designed to be statically determinate because simple analytical methods for the accurate structural analysis of indeterminate structures were not developed until the first part of this century.
darkwing.uoregon.edu /~struct/courseware/461/461_lectures/461_lecture31/461_lecture31.html   (380 words)

  
 Hints set 5   (Site not responding. Last check: 2007-10-09)
The problem is statically indeterminate and you will need to relate the angle of twists at point A. The problem is statically indeterminate over the length A to B and statically determinate along CA and BD.
Problem is statically indeterminate from CB and statically determinate from BA.
The problem is statically indeterminate and compatibility condition is the angle of twist a E is the same.
stommel.tamu.edu /~esandt/Teach/Spring01/CVEN305/Homework/Assign5/hint5.html   (170 words)

  
 CES3102 - MECHANICS OF ENGINEERING STRUCTURES
Objectives: The student will be able to determine the reactions and internal forces in a statically determinate structures such as beams, frames, trusses and arches due to the application of static forces and assess the effect of the placement of the loads on the structure using influence lines.
The laws of mechanics that are typically taught on single rigid bodies in your statics course apply to the larger and more complex systems of bodies; but the applications of these laws becomes more challenging for real world structures.
Thus students who want to fully master the applications of statics to large and complex systems need to become actively involved in the learning process and be challenged by applying the material to progressively more complex and interesting structures.
users.ce.ufl.edu /~coh/CES3102/CES3102.htm   (1650 words)

  
 BME 332: Determining Boundary Conditions
The second approach to solve indeterminate muscle forces are a class of optimization techniques.
X is the variable with respect to which we minimize (or maximize) the functional F. In many optimization problems, especially those concerned with calculating indeterminate muscle forces, we may place restrictions on what values x may take as a minimizer.
For instance, as we will see later on, we may want to minimize the total stress in a muscle, with a restriction that the muscles that are active must still produce a required moment about a joint.
www.engin.umich.edu /class/bme332/Ch5boundarycond/bme332boundcond.htm   (6731 words)

  
 Instructions - Bending of statically indeterminate (continuous) beams   (Site not responding. Last check: 2007-10-09)
For calculation of reactions, shear forces, bending moments and deflections of statically indeterminate (continuous) beam, at the first step one has to choose the type of end conditions of the beam among the following cases:
The number of intermediate pin supports could be arbitrary, but the beam structure must be statically indeterminate.
Then the user has to enter the length of the beam L, number of pin supports (excluding left one), number of couples (external moments), concentrated and distributed loads, which are applied to the beam and submit these data.
www.soft4structures.com /Beam/st_instruction.html   (437 words)

  
 Faculty Profile
The fundamental principles of statics and equilibrium are considered first, followed by a review of loads.
Specifically, the course introduces students to the analysis and design of structural elements such as 3-D trusses, arches, cables, statically indeterminate beams and frames, concrete beams, columns, plates and slabs as well as simple shells.
The use of these elements in a building context and simplified methods for analysis of indeterminate structures as well as easy-to-use computer programs are taught.
www.gsd.harvard.edu /people/faculty/bechthold/courses.html   (1699 words)

  
 Consistent Deformations - Force Method
The method of consistent deformations, or sometimes referred to as the force or flexibility method, is one of the several techniques available to analyze indeterminate structures.
In this case, the number of unknown reactions is r = 6, the number of equations of statics is e = 3, and the number of equations of condition e
Remove the support reactions (restraints) corresponding to the selected redundants from the indeterminate structure to obtain a primary determinate structure, or sometimes referred to as a released structure.
www.public.iastate.edu /~fanous/ce332/force/homepage.html   (758 words)

  
 Euro-SiBRAM'2002 html formating
The goal of this study is application of SBRA (Simulation-Based Reliability Assessment) method (see [1], [2], [3]) in reliabiity analysis of statically indeterminate steel frame (see [5]).
1 is shown scheme of statically indeterminate planar steel frame.
The study demonstrates the potential of the SBRA method in reliabilty analysis of statically indeterminate steel frames.
www.noise.cz /sbra/sibram02/5-Ses/Pustka.htm   (928 words)

  
 Section IV.2 Statically Determinate Stiffened Box Beams   (Site not responding. Last check: 2007-10-09)
Hence, in statically determinate box beams, we do not need to use the procedure involving the general shear flow equation as described in previous section.
If we were to modify the box beam by including an additional stiffener, then the problem becomes statically indeterminate as there would be 8 unknown loads to solve for as opposed to 6 in the previous case.
The discussion of statically indeterminate box beams will be given in the next section.
www.ae.msstate.edu /~masoud/Teaching/SA2/chA15_static_text.html   (220 words)

  
 [No title]   (Site not responding. Last check: 2007-10-09)
Four main objectives are defined as follow: Analysis of Statically Determinate Structures: includes calculation of internal forces (i.e.
Analysis of Statically Indeterminate Structures: includes calculation of support reactions, and internal forces for trusses, frames, and arches.
Analysis of Statically Determinate and Indeterminate Structures under moving loads: includes plotting influence lines diagrams for trusses and beams, and determining loading for maximum effects.
www.eng.usf.edu /~aayoub/objects/Syllabus_StructuresI.doc   (467 words)

  
 Structural Analysis   (Site not responding. Last check: 2007-10-09)
Introduction to loads, and the analysis of statically determinate and indeterminate structures by classical and modern techniques.
The types of structures covered include beams, trusses and frames that are loaded in the plane of the structure.
Introduce students to classical and modern methods for analysing determinate and indeterminate structures, thus preparing the way to structural design courses.
www.rit.edu /~aoaite/0608_490.htm   (295 words)

  
 Amazon.com: Indeterminate: Books   (Site not responding. Last check: 2007-10-09)
Bonnycastle's introduction to algebra; containing the indeterminate and diophantine analysis, and the application of algebra to geometry.
Statically indeterminate structures, by L. C Maugh (Unknown Binding - 1946)
Analysis of Statically Indeterminate Structures by John Ira Parcel and Robert B B Moorman (Hardcover - Dec 1955)
www.amazon.com /s?ie=UTF8&keywords=Indeterminate&tag=httpexplaguid-20&index=books&link_code=qs&page=1   (322 words)

  
 Internal Forces for Statically Indeterminate Structures having Different Moduli in Tension and Comprehension   (Site not responding. Last check: 2007-10-09)
When a different tension-compression elastic modulus is introduced into the statically indeterminate structure, the flexural rigidity EI is no longer a constant, which is different from that of classic mechanics, but becomes the function of the internal force, the calculation of the internal force in the structure is a nonlinear problem.
In light of this, the formula of internal force in statically indeterminate structures with different moduli has been deduced, the iterative program for calculating nonlinear internal force developed, and examples analyzed.
Finally, we put forth reasonable suggestions for calculating this kind of structure and a new idea in optimizing the structures by using different modulus characters.
www.pubs.asce.org /WWWdisplay.cgi?0604367   (218 words)

  
 Mechanical Engineering Courses (M E)   (Site not responding. Last check: 2007-10-09)
Application of equations of static equilibrium, geometric compatibility and force-deformation in estimation of load-carrying capability of simple structural or machine elements, and in design of those elements against failure.
Introduction to the nature and physical properties of fluids, statics, equation of motion, incompressible inviscid flow, dimensional analysis, incompressible one-dimensional compressible channel flow.
Static body stresses, strain and deflection, failure theories, introduction to impact loading and fatigue.
www.bulletins.wayne.edu /ubk-output/egr16.html   (1907 words)

  
 Architectural Engineering - Cal Poly State University
The relationship of the principles of statics to the act of creating stable material configurations.
Approximate actions in statically determinate and indeterminate structures and judge when it is appropriate to use approximate methods.
Draw influence lines for statically determinate and indeterminate structures and use these influence lines to specify critical loading combinations.
www.arce.calpoly.edu /program/program_learning.html   (1200 words)

  
 CES3102 - MECHANICS OF ENGINEERING STRUCTURES
The student will not only learn how to calculate displacements of structures; but will learn how to relate the applied forces, their corresponding deformations, and the final displaced shape of structures in both an intuitive and mathematical manner.
The student will be able to solve indeterminate structures and demonstrate the equilibrium of the members and joints and draw shear and moment diagrams for the members of the structures.
The student will be able to identify, formulate and solve statically determinate and statically indeterminate beams and frames using several basic methods and modern matrix analysis procedures.
users.ce.ufl.edu /~coh/CES6106/syllabus.html   (641 words)

  
 General information - Bending of statically indeterminate (continuous) beams
The purpose of this calculation is to obtain information about shear, bending moment, and deflection distribution over the length of a statically indeterminate (continuous) beam, which is under various transverse loads: couples, concentrated and linearly distributed loads.
The result of calculation is represented by shear force, bending moment and deflection diagrams.
The number of intermediate pin supports could be arbitrary, but the beam must be statically indeterminate.
www.soft4structures.com /Beam/st_general_info.html   (648 words)

  
 Vibration control by limiting the maximum axial forces in space trusses
The method is applicable to both statically determinate as well as indeterminate truss structures.
However, for energy efficient control of statically indeterminate trusses, extra actuators may be needed on the redundant bars.
The problems of application to statically indeterminate trusses and optimal actuator placement are identified for future work.
stacks.iop.org /0964-1726/3/107   (305 words)

  
 CIVI 300 Mechanics of Solids I
Knowledge Prerequisite: Basic knowledge of fundamentals of engineering mechanics, particularly statics, equilibrium forces and moments, and analysis of simple trusses and beams.
Analyze determinate and indeterminate axial members, torsional members, and beams, and determinate trusses to determine axial forces, torque, shear forces, and bending moments
Analyze determinate and indeterminate bars, beams, and determinate trusses to determine axial forces, torques, shear forces, and bending moments
www.ruf.rice.edu /~nagaraja/CIVI311.htm   (714 words)

  
 CE 112 Syllabus   (Site not responding. Last check: 2007-10-09)
b) Determine internal torques in both statically determinate and statically indeterminate torsionally loaded prismatic and non-prismatic solid circular shaft and hollow tubes subjected to applied torques.
a) Determine internal stresses in both statically determinate and statically indeterminate axially loaded prismatic and non-prismatic members subjected to applied forces, temperature variations and prestrain effects.
b) Determine internal stresses in both statically determinate and statically indeterminate torsionally loaded prismatic and non-prismatic solid circular shaft and hollow tubes subjected to applied torques.
www.engr.sjsu.edu /tanagnos/CE112/syllabus/syllabus.html   (542 words)

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