How do you determine if a structure is statically determinate or indeterminate?
In regards to beams, if the reaction forces can be calculated using equilibrium equations alone, they are statically determinate. On the other hand, if the reaction force can’t be determined using equilibrium equations only, other methods have to be used, and the structure is said to be statically indeterminate.
What is statically determinate structure?
A statically determinate structure is the one in which reactions and internal forces can be determined solely from free-body diagrams and equations of equilibrium.
How do you determine if a structure is stable or unstable?
Criteria 1a: A structure is unstable if a joint in the structure can be displaced without causing any member deformation in the structure. An unstable structure can be made stable by adding either one or more supports or by adding connection fixity at a member-to-member connection.
What is statically unstable structure?
If a structure is supported by fewer than three support reactions, the reactions are not sufficient to prevent all possible movements of the structure in its plane. Such a structure cannot remain in equilibrium under a general system of loads and is, therefore, referred to as statically unstable externally.
How do we check the Determinacy of a structure?
Internal Determinacy: m=6,r=3,j=6,ec=0. Therefore, 3m+r=21 and 3j+ec=18, so this structure is internally statically indeterminate to three degrees (or “3º S.I.”).
How do you solve a statically indeterminate frame?
To solve a statically indeterminate beam (or frame) using the force method we will make use of redundant forces. A redundant force is one, which cannot be solved using static equilibrium equations alone. The forces will be taken out and reapplied so that the considered structure is always statically determinate.
How do you solve an indeterminate beam?
The following methods are used to solve indeterminate structures:
- Flexibility method.
- Slope deflection method.
- Moment distribution method.
- Direct stiffness method.
Are statically indeterminate structures used in practice?
Statically indeterminate structures occur more frequently in practice than those that are statically determinate and are generally more economical in that they are stiffer and stronger.
Which of following method is used to Analyse statically indeterminate structures?
The force method of analysis, also known as the method of consistent deformation, uses equilibrium equations and compatibility conditions to determine the unknowns in statically indeterminate structures.
Which of the following method is used for analysis of determinate structures?
Discussion :: GATE Exam Questions – Section 6 (Q. No. 44)
| [A]. | The method is used to analyse determinate structures |
|---|---|
| [C]. | The method is used for analysis of flexible structures |
| [D]. | The method is used for analysis of indeterminate structures with lesser degree of static indeterminacy. |
Which of the following is a approximate method of analysis?
Approximate analysis is conducted by making realistic assumptions about the behavior of the structure. Approximate Analysis of Indeterminate Trusses During preliminary design and analysis, the actual member dimensions are not usually known. Note the areas of cross-sections of the columns are different.
What are the unknowns according to the force method of structural analysis?
In the force method the unknowns are forces, moments and in case of displacement method, unknowns are deflection, rotation. …
What are force methods?
The force method (also called the flexibility method or method of consistent deformation ) is used to calculate reactions and internal forces in statically indeterminate structures due to loads and imposed deformations.
Which of the following method of structural analysis is force method?
Right Answer is: B In the force method of analysis: In the displacement method of analysis: Primary unknowns are the displacements and initially force -displacement relations are computed and subsequently equations are written satisfying the equilibrium conditions of the structure in this method.
What is the SI unit of stiffness coefficient?
b) false. Explanation: First step in this method is to write equilibrium equations and find unknown displacements. 2. What is the SI unit of stiffness coefficient? a) M/KN.
What is stiffness formula?
Stiffness is the resistance of an elastic body to deflection or deformation by an applied force – and can be expressed as. k = F / δ (1) where. k = stiffness (N/m, lb/in) F = applied force (N, lb)
Is Young’s modulus stiffness?
The Young’s Modulus of a material is a fundamental property of every material that cannot be changed. It is dependent upon temperature and pressure however. The Young’s Modulus (or Elastic Modulus) is in essence the stiffness of a material. In other words, it is how easily it is bended or stretched.
How do you calculate stiffness in Young’s modulus?
Stiffness is resistance to elastic deformation. Young’s modulus Y=stress/strain. so, for given stress if young’s modulus is high then elastic deformation is small. So, stiffness and young’s modulus are proportional to each other.
Which of the following is measure of stiffness?
Which of the following is measure of stiffness? Explanation: Stiffness is the ability of material to resist deformation under external load. Hence it is measured by modulus of elasticity.
What is the SI unit of Young’s modulus?
Pascal
Is stiffness and modulus the same?
The elastic modulus measures the stiffness in a material, but strength is a function of the modulus. Remember, strength measures how much stress the material can handle before permanent deformation or fracture occurs, whereas the stiffness measures the resistance to elastic deformation.
Which material has the highest stiffness?
Which Material Has The Highest Stiffness?
| Material | Young’s modulus in GPa | Young’s modulus over density in 106 m2s−2 (Specific Stiffness) |
|---|---|---|
| Dyneema SK78/Honeywell Spectra 2000 Ultra-high-molecular-weight polyethylene (tensile only) | 121±11 | 125±11 |
| Silicon carbide (SiC) | 450 | 140 |
| Beryllium (Be) | 287 |
How do you increase the stiffness of a structure?
- Central Core. The stiffness of buildings can be increased substantially through the construction of central core.
- Shear Walls. Shear wall is a structural member used to resist lateral forces.
- Braced Frame.
- Tube system.
- Double Tube System.
Does hardness affect modulus of elasticity?
Based on computational analysis and virtual testing, the following observations are made. The hardness (H) of a material tends to increase with an increase in the elastic modulus (E), yield strength (σy) and the strain-hardening exponent (n).
What is G in material properties?
In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is a measure of the elastic shear stiffness of a material and is defined as the ratio of shear stress to the shear strain: where = shear stress is the force which acts is the area on which the force acts = shear strain.
Is Poisson’s ratio a material property?
Poisson’s ratio measures the deformation in the material in a direction perpendicular to the direction of the applied force. Essentially Poisson’s ratio is one measure of a rock’s strength that is another critical rock property related to closure stress. Poisson’s ratio is dimensionless and ranges between 0.1 and 0.45.
Is hardness a material property?
Hardness is the property of a material that enables it to resist plastic deformation, penetration, indentation, and scratching. Therefore, hardness is important from an engineering standpoint because resistance to wear by either friction or erosion by steam, oil, and water generally increases with hardness.
What are the 5 properties of materials?
A description of some common mechanical and physical properties will provide information that product designers could consider in selecting materials for a given application.
- Conductivity.
- Corrosion Resistance.
- Density.
- Ductility / Malleability.
- Elasticity / Stiffness.
- Fracture Toughness.
- Hardness.
- Plasticity.
What are the 7 properties of materials?
Physical properties of materials
- density.
- melting point.
- thermal conductivity.
- electrical conductivity (resistivity)
- thermal expansion.
- corrosion resistance.