How Do You Determine If A Structure Is Statically Determinate Or Indeterminate?

by | Last updated on January 24, 2024

, , , ,

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.

How do you know if something is statically indeterminate?

In statics and structural mechanics, a structure is statically indeterminate

when the static equilibrium equations – force and moment equilibrium conditions – are insufficient for determining the internal forces and reactions on that structure

.

How do you know if a structure is determinate?


If the number of equations = the number of unknowns, then the structure is statically determinate

. If, on the other hand, number of equations < the number of unknowns, the structure is statically indeterminate, and hence, other methods need to be used to analyze it.

What do you mean by basic determinate structure?

[də′tər·mə·nət ′strək·chər] (mechanics)

A structure in which the equations of statics alone are sufficient to determine the stresses and reactions

.

What do you mean by determinate and indeterminate structure?

When all forces in a structure is determined from equilibrium equations, the structure is known as statically determinate.

When the unknown forces in a structure are more than the available equilibrium equations

, that structure is known as statically indeterminate structure.

What is kinematically determinate structure?

A kinematically determinate structure can be defined as

a structure where, if it is possible to find nodal displacements compatible with member extensions

, those nodal displacements are unique. … Mathematically, the mass matrix of the structure must have full rank.

What are different types of supports?

There are five basic idealized support structure types, categorized by the types of deflection they constrain:

roller, pinned, fixed, hanger and simple support

.

What is statistically determinate structure?

Statically determinate structures are structures that can be analyzed using statics alone. Statics basically means the sum of forces in any direction is zero. …

If the number of unknown forces is equal or less than the number of equations

, the structure is said to be statically determinate.

Which is better determinate or indeterminate structure?

When all forces in a structure is determined from equilibrium equations, the structure is known as statically determinate.

When the unknown forces in a structure are more than the available equilibrium equations

, that structure is known as statically indeterminate structure.

What is the difference between determinate and indeterminate errors?

Systematic Error (determinate error) The error is reproducible and can be discovered and corrected.

Random Error

(indeterminate error) Caused by uncontrollable variables, which can not be defined/eliminated.

What is the difference between determinate and indeterminate?

Determinate varieties require little or no staking of the plant. Indeterminate varieties

develop into vines that never top off and continue producing until killed by frost

. They are preferred by home growers and local-market farmers who want ripe fruit throughout the season.

Which beam is kinematically determinate?


A fixed beam

is kinematically determinate and a simply supported beam is kinematically indeterminate. (i) Each joint of plane pin jointed frame has 2 degree of freedom.

How many support reaction must a determinate beam have?

A structure is called statically determinate if the support reacti- ons can be calculated from the three equilibrium conditions (3.12). Since the number of unknowns must coincide with the number of equations,

three unknown reactions

(forces or couple moments) must exist at the supports: r = 3.

What is degree of static indeterminacy?

The DEGREE OF STATIC INDETERMINACY (DSI) is

the number of redundant forces in the structure

. … Therefore, the degree of static indeterminacy (DSI) represents the difference between the number of static unknowns (reactions and internal forces) and the number of static equations (equilibrium equations).

What are the 7 types of support?

  • Emotional Support. …
  • Informational Support. …
  • Tangible Support. …
  • Self-esteem or Affirmational Support. …
  • Belonging Support.

What are the 2 types of loads?

  • Dead Loads (DL) The first vertical load that is considered is dead load. …
  • Imposed Loads or Live Loads (IL or LL) The second vertical load that is considered in design of a structure is imposed loads or live loads. …
  • Wind loads. …
  • Snow Loads (SL) …
  • Earthquake Loads (EL) …
  • Other Loads and Effects acting on Structures.
Jasmine Sibley
Author
Jasmine Sibley
Jasmine is a DIY enthusiast with a passion for crafting and design. She has written several blog posts on crafting and has been featured in various DIY websites. Jasmine's expertise in sewing, knitting, and woodworking will help you create beautiful and unique projects.