Expression 12: "i" left parenthesis, "x" , right parenthesis greater than or equal to "y" greater than or equal to 0 Has graph. To audio trace, press ALT+T.ix≥y≥0
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`A\left(0,-\frac{877.92}{EI}\right)` left parenthesis, 0 , negative StartFraction, 877.9 2 Over "E" "I" , EndFraction , right parenthesis equals left parenthesis, 0 , negative 877.9 2 , right parenthesis Has graph. To audio trace, press ALT+T.0,−877.92EI
Label:
equals=
left parenthesis, 0 , negative 877.9 2 , right parenthesis0,−877.92
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`B\left(2,-\frac{823.92}{EI}\right)` left parenthesis, 2 , negative StartFraction, 823.9 2 Over "E" "I" , EndFraction , right parenthesis equals left parenthesis, 2 , negative 823.9 2 , right parenthesis Has graph. To audio trace, press ALT+T.2,−823.92EI
Label:
equals=
left parenthesis, 2 , negative 823.9 2 , right parenthesis2,−823.92
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`\left(6.365,0\right)` left parenthesis, 6.3 6 5 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.6.365,0
Label:
15
`C\left(6.5,\frac{37.967}{EI}\right)` left parenthesis, 6.5 , StartFraction, 37.9 6 7 Over "E" "I" , EndFraction , right parenthesis equals left parenthesis, 6.5 , 37.9 6 7 , right parenthesis Has graph. To audio trace, press ALT+T.6.5,37.967EI
Label:
equals=
left parenthesis, 6.5 , 37.9 6 7 , right parenthesis6.5,37.967
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`\left(10.145,\frac{693.725}{EI}\right)` left parenthesis, 10.1 4 5 , StartFraction, 693.7 2 5 Over "E" "I" , EndFraction , right parenthesis equals left parenthesis, 10.1 4 5 , 693.7 2 5 , right parenthesis Has graph. To audio trace, press ALT+T.10.145,693.725EI
Label:
equals=
left parenthesis, 10.1 4 5 , 693.7 2 5 , right parenthesis10.145,693.725
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`D\left(11,\frac{637.875}{EI}\right)` left parenthesis, 11 , StartFraction, 637.8 7 5 Over "E" "I" , EndFraction , right parenthesis equals left parenthesis, 11 , 637.8 7 5 , right parenthesis Has graph. To audio trace, press ALT+T.11,637.875EI
Label:
equals=
left parenthesis, 11 , 637.8 7 5 , right parenthesis11,637.875
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`E\left(12.5,\frac{536.63}{EI}\right)` left parenthesis, 12.5 , StartFraction, 536.6 3 Over "E" "I" , EndFraction , right parenthesis equals left parenthesis, 12.5 , 536.6 3 , right parenthesis Has graph. To audio trace, press ALT+T.12.5,536.63EI
Label:
equals=
left parenthesis, 12.5 , 536.6 3 , right parenthesis12.5,536.63
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`\theta_{AB}=\frac{1}{EI}\left(27x-877.92\right)\left\{0\le x\le2\right\}` left parenthesis, 1.3 4 , negative 722 , right parenthesis1.34,−722
Label:
20
`\theta_{BC}=\frac{1}{EI}\left(-\frac{5}{12}x^{4}+\frac{10}{3}x^{3}+35x^{2}-\frac{419}{3}x-704.59\right)\left\{2\le x\le6.5\right\}` left parenthesis, 4.5 8 , negative 426 , right parenthesis4.58,−426
Label:
21
`\theta_{CD}=\frac{1}{EI}\left(-6x^{3}+\frac{891}{8}x^{2}-\frac{1629}{4}x-372.75\right)\left\{6.5\le x\le11\right\}` left parenthesis, 7.9 , 358 , right parenthesis7.9,358
Label:
22
`\theta_{DE}=\frac{1}{EI}\left(45x^{2}-1125x+7567.88\right)\left\{11\le x\le12.5\right\}` left parenthesis, 10.0 8 , 534 , right parenthesis10.08,534
Label:
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"A" left parenthesis, 0 , negative StartFraction, 877.9 2 Over "E" "I" , EndFraction , right parenthesisA0,−877.92EI
"B" left parenthesis, 2 , negative StartFraction, 823.9 2 Over "E" "I" , EndFraction , right parenthesisB2,−823.92EI
left parenthesis, 6.3 6 5 , 0 , right parenthesis6.365,0
"C" left parenthesis, 6.5 , StartFraction, 37.9 6 7 Over "E" "I" , EndFraction , right parenthesisC6.5,37.967EI
left parenthesis, 10.1 4 5 , StartFraction, 693.7 2 5 Over "E" "I" , EndFraction , right parenthesis10.145,693.725EI
"D" left parenthesis, 11 , StartFraction, 637.8 7 5 Over "E" "I" , EndFraction , right parenthesisD11,637.875EI
"E" left parenthesis, 12.5 , StartFraction, 536.6 3 Over "E" "I" , EndFraction , right parenthesisE12.5,536.63EI
theta Subscript, "A" "B" , Baseline equals StartFraction, 1 Over "E" "I" , EndFraction left parenthesis, 27 "x" minus 877.9 2 , right parenthesis left brace, 0 less than or equal to "x" less than or equal to 2 , right braceθAB=1EI27x−877.920≤x≤2
theta Subscript, "B" "C" , Baseline equals StartFraction, 1 Over "E" "I" , EndFraction left parenthesis, negative StartFraction, 5 Over 12 , EndFraction "x" to the 4th power plus 10 thirds "x" cubed plus 35 "x" squared minus 419 thirds "x" minus 704.5 9 , right parenthesis left brace, 2 less than or equal to "x" less than or equal to 6.5 , right braceθBC=1EI−512x4+103x3+35x2−4193x−704.592≤x≤6.5
theta Subscript, "C" "D" , Baseline equals StartFraction, 1 Over "E" "I" , EndFraction left parenthesis, negative 6 "x" cubed plus 891 eighths "x" squared minus 1629 quarters "x" minus 372.7 5 , right parenthesis left brace, 6.5 less than or equal to "x" less than or equal to 11 , right braceθCD=1EI−6x3+8918x2−16294x−372.756.5≤x≤11
theta Subscript, "D" "E" , Baseline equals StartFraction, 1 Over "E" "I" , EndFraction left parenthesis, 45 "x" squared minus 1125 "x" plus 7567.8 8 , right parenthesis left brace, 11 less than or equal to "x" less than or equal to 12.5 , right braceθDE=1EI45x2−1125x+7567.8811≤x≤12.5
