For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if the beam is fabricated from a W406 x 149 wide-flange section. Given: • L = 6 m L₂ = 4.5 m • F = 90 kN q = 62 kN/m B₁ = B₂ = B3 = C₁ C₂ S L₂ Write an elastic curve equation valid for the entire beam in the following form: y(x) = ₁x³ + B₂ 25+ B3 < x-4.5>³ + C₁ + 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. number (rtol=0.01, atol=1e-05) number (rtol=1e-05, atol=0.001) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) Ymid= Yleft-end" Fright-end L Determine the mid-span deflection and the slope at both ends. number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) F kN kN/m² kN kN. m² kN.m³ mm q

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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HW6.5. Simply Supported Beam with a Linearly Distributed Load
For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if
the beam is fabricated from a W406 x 149 wide-flange section.
Given:
L = 6 m
L₂ = 4.5 m
F = 90 kN
q = 62 kN/m
B₁ =
B₂ =
B3 =
C₁ =
C₂ =
· L₂
number (rtol=0.01, atol=1e-05)
number (rtol=1e-05, atol=0.001)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
Write an elastic curve equation valid for the entire beam in the following form:
y(x) = ₁x³ + B₂ • 25+ B3 < x-4.5>³ + C₁* + 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.
Ymid =
Yleft-end
Fright-end
L
Determine the mid-span deflection and the slope at both ends.
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
F
kN
kN/m²
kN
kN. m²
kN.m³
mm
q
Transcribed Image Text:HW6.5. Simply Supported Beam with a Linearly Distributed Load For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if the beam is fabricated from a W406 x 149 wide-flange section. Given: L = 6 m L₂ = 4.5 m F = 90 kN q = 62 kN/m B₁ = B₂ = B3 = C₁ = C₂ = · L₂ number (rtol=0.01, atol=1e-05) number (rtol=1e-05, atol=0.001) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) Write an elastic curve equation valid for the entire beam in the following form: y(x) = ₁x³ + B₂ • 25+ B3 < x-4.5>³ + C₁* + 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. Ymid = Yleft-end Fright-end L Determine the mid-span deflection and the slope at both ends. number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) F kN kN/m² kN kN. m² kN.m³ mm q
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