Learning Goal: To use the method of superposition to calculate a beam deflection and slope. Use the two loadings below and the principle of superposition to answer the following questions. 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. Load -(--4) -5w) L -5wzLª 384EI 768EI -3wzL 24EI 128EI wi L 7wz L 384EI 24EI Part A - Determine the load combination A beam subjected to the loading shown (Figure 1) where w. = 2 kN/m and uz = 2.5 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) ? Figure < 1 of 1 > w1, w2 = kN/m Submit Part B Complete previous part(s)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Learning Goal:
To use the method of superposition to calculate a beam deflection and slope.
Use the two loadings below and the principle of superposition to answer the following questions.
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.
Load
-(--4)
-5w) L
-5wzLª
384EI
768EI
-3wzL
24EI
128EI
wi L
7wz L
384EI
24EI
Part A - Determine the load combination
A beam
subjected to the loading shown (Figure 1) where w. = 2 kN/m and uz = 2.5 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)
?
Figure
< 1 of 1 >
w1, w2 =
kN/m
Submit
Part B Complete previous part(s)
Transcribed Image Text:Learning Goal: To use the method of superposition to calculate a beam deflection and slope. Use the two loadings below and the principle of superposition to answer the following questions. 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. Load -(--4) -5w) L -5wzLª 384EI 768EI -3wzL 24EI 128EI wi L 7wz L 384EI 24EI Part A - Determine the load combination A beam subjected to the loading shown (Figure 1) where w. = 2 kN/m and uz = 2.5 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) ? Figure < 1 of 1 > w1, w2 = kN/m Submit Part B Complete previous part(s)
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