Learning Goal: To use the method of superposition to calculate a beam deflection and slope. For beams with small deflections, the assumptions for using the method of superposition apply: the deflections and slopes are linearly related to the load, and the deflections do not significantly change the original geometry of the beam. The deflections and slopes for beams subjected to multiple loads can then be found using linear combinations of known results for individual loads. Use the two loadings below and the principle of superposition to answer the following questions. Load -(--) 0 Ов .. -514 384EI -L³ 24EI 24EI B Part A - Determine the load combination A beam is subjected to the loading shown (Figure 1) where w = 1.8 kN/m and w = 2.9 kN/m. Describe the loading as a linear combination of the loads in the above table. Express your answers in kN/m. ▸ View Available Hint(s) Vdo for✓ Part re☐ for Part for Part for Part A for Part A do for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A W1. W₂ = Submit Part B Complete previous part(s) Part C Complete previous part(s) kN/m -5W,L 768EI -3w₂L³ 128EI 7w₂L³ 384EI 4m A41 W3 B
Learning Goal: To use the method of superposition to calculate a beam deflection and slope. For beams with small deflections, the assumptions for using the method of superposition apply: the deflections and slopes are linearly related to the load, and the deflections do not significantly change the original geometry of the beam. The deflections and slopes for beams subjected to multiple loads can then be found using linear combinations of known results for individual loads. Use the two loadings below and the principle of superposition to answer the following questions. Load -(--) 0 Ов .. -514 384EI -L³ 24EI 24EI B Part A - Determine the load combination A beam is subjected to the loading shown (Figure 1) where w = 1.8 kN/m and w = 2.9 kN/m. Describe the loading as a linear combination of the loads in the above table. Express your answers in kN/m. ▸ View Available Hint(s) Vdo for✓ Part re☐ for Part for Part for Part A for Part A do for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A W1. W₂ = Submit Part B Complete previous part(s) Part C Complete previous part(s) kN/m -5W,L 768EI -3w₂L³ 128EI 7w₂L³ 384EI 4m A41 W3 B
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
Transcribed Image Text:Learning Goal:
To use the method of superposition to calculate a beam deflection and slope.
For beams with small deflections, the assumptions for using the method of superposition apply: the
deflections and slopes are linearly related to the load, and the deflections do not significantly
change the original geometry of the beam.
The deflections and slopes for beams subjected to multiple loads can then be found using linear
combinations of known results for individual loads.
Use the two loadings below and the principle of superposition to answer the following questions.
Load
-(--)
0
Ов
..
-514
384EI
-L³
24EI
24EI
B
Part A - Determine the load combination
A beam is subjected to the loading shown (Figure 1) where w = 1.8 kN/m and w = 2.9 kN/m. Describe the loading as a linear combination of the loads in the above table.
Express your answers in kN/m.
▸ View Available Hint(s)
Vdo
for✓ Part re☐
for Part for Part for Part A for Part A do for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A
W1. W₂ =
Submit
Part B Complete previous part(s)
Part C Complete previous part(s)
kN/m
-5W,L
768EI
-3w₂L³
128EI
7w₂L³
384EI

Transcribed Image Text:4m
A41
W3
B
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