The aluminum cantilevered beam is loaded as shown. - ¹/2 Given: • L = 16.8 ft F = 2000 lb • M = 1030 ft-lb • I = 125 in ¹ B₁ = B₂ = 33 = C₁ = C₂ = number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) L Write an elastic curve equation valid for the entire beam in the following form: y(x) = √/7B₁x³ + 3₂x² + B₂³ + C₁z + C₂] Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the m the units listed. Determine the deflection and slope at the free end. Yright-end = number (rtol=0.01, atol=1e-05) Fright-end number (rtol=0.01, atol=1e-05) F lb ft. lb lb ft².lb ft³.lb M in

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.5P: A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used...
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HW6.3. Deformation of a Cantilevered Beam
The aluminum cantilevered beam is loaded as shown.
Given:
• L = 16.8 ft
F = 2000 lb
M1030 ft lb
• I = 125 in ¹
B₁ =
B₂ =
B3 =
C₁ =
C₂ =
-12
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
L
Write an elastic curve equation valid for the entire beam in the following form:
y(x) = ₁x³ + ₂x² + 3 < x-8.4>³ + C₁x + C₂]
Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the missing terms, in
the units listed.
Yright-end =
Fright end
Determine the deflection and slope at the free end.
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
F
lb
ft. lb
lb
ft².lb
ft.³.lb
in
M
→
Transcribed Image Text:HW6.3. Deformation of a Cantilevered Beam The aluminum cantilevered beam is loaded as shown. Given: • L = 16.8 ft F = 2000 lb M1030 ft lb • I = 125 in ¹ B₁ = B₂ = B3 = C₁ = C₂ = -12 number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) L Write an elastic curve equation valid for the entire beam in the following form: y(x) = ₁x³ + ₂x² + 3 < x-8.4>³ + C₁x + C₂] Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the missing terms, in the units listed. Yright-end = Fright end Determine the deflection and slope at the free end. number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) F lb ft. lb lb ft².lb ft.³.lb in M →
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