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| ! colspan="2" |Isolate Joint B | | ! colspan="2" |Isolate Joint B |
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| |[[File:Joint B diagram 1.png|frameless|192x192px]] | | |[[File:Joint_B_diagram_1.png|alt=|center|frameless|192x192px]] |
| |[[File:Joint B diagram 2.png|frameless|192x192px]] | | |[[File:Joint B diagram 2.png|frameless|192x192px]] |
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| |Apply vertical equilibrium: <math display="inline">\sum F_y = 0</math> | | | |
| | * Apply vertical equilibrium: <math display="inline">\sum F_y = 0</math> |
| | ** <math>9\sin{30} + F_{BD}\sin{30}-3-F_{BC}\sin{30}=0</math> |
| | * Substitute for: <math display="inline">\sin{30} = 0.5</math> |
| | ** <math>9\times0.5+0.5F_{BD}-3-0.5F_{BC}=-3-0</math> |
| | ** <math>1.5 + 0.5F_{BD} - 0.5F_{BC} = 0</math> |
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| | * Rearrange to find an expression for <math>F_{BD}</math> |
| | ** <math>0.5F_{BD} = -1.5 + 0.5F_{BC}</math> |
| | ** <math>F_{BD} =-3 + F_{BC}</math> |
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| <math>9\sin(30) + F_{B}</math>
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Revision as of 21:25, 23 December 2020
The term running an algorithm I use to mean doing a set of calculations:
What do you need to know to run an algorithm in an examination?
- You need to understand the meanings of all variables to an extent that you are able to assign correct values to them.
- You need to be able to write down the steps in the algorithm.
- You need to be able to run the algorithm.
For example, here's a 'run' of the algorithm for slving for the forces at joint B in the Nodal Analysis key example:
| Isolate Joint B
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- Apply vertical equilibrium: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\textstyle \sum F_y = 0}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle 9\sin{30} + F_{BD}\sin{30}-3-F_{BC}\sin{30}=0}
- Substitute for: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\textstyle \sin{30} = 0.5}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle 9\times0.5+0.5F_{BD}-3-0.5F_{BC}=-3-0}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle 1.5 + 0.5F_{BD} - 0.5F_{BC} = 0}
- Rearrange to find an expression for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle F_{BD}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle 0.5F_{BD} = -1.5 + 0.5F_{BC}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle F_{BD} =-3 + F_{BC}}
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