For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if thebeam is fabricated from a W457 x 113 wide-flange section.Given:• L=7m• L₂ = 5.25 mF = 95 kN• q = 76 kN/m-L₂LFq Write an elastic curve equation valid for the entire beam in the following form:y(x) = [B₁x³ + B₂.25 +B3 < x-5.25 >³ + C₁ + С₂]Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the missing terms, inthe units listed.B1B₂ =B3 =C₁ =C₂ ==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 =number (rtol=0.01, atol=1e-05)Yleft-end =Yright-end =kN ?kN/m²Determine the mid-span deflection and the slope at both ends.number (rtol=0.01, atol=1e-05)number (rtol=0.01, atol=1e-05)kN ?kN m² ?kN.mºmm0?0?41

For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if the beam is fabricated from a W457 x 113 wide-flange section. Given: • L=7m ● L₂ = 5.25 m • F = 95 kN q= 76 kN/m L2 L F q

For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if the beam is fabricated from a W457 x 113 wide-flange section. Given: • L=7m ● L₂ = 5.25 m • F = 95 kN q= 76 kN/m L2 L F q

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if the
beam is fabricated from a W457 x 113 wide-flange section.
Given:
• L=7m
• L₂ = 5.25 m
F = 95 kN
• q = 76 kN/m
-L₂
L
F
q

Write an elastic curve equation valid for the entire beam in the following form:
y(x) = [B₁x³ + B₂.25 +B3 < x-5.25 >³ + C₁ + С₂]
Place the coordinate system origin (x = 0) at the left end of the beam. Give values for the missing terms, in
the units listed.
B1
B₂ =
B3 =
C₁ =
C₂ =
=
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 =
number (rtol=0.01, atol=1e-05)
Yleft-end =
Yright-end =
kN ?
kN/m²
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)
kN ?
kN m² ?
kN.mº
mm
0
?
0
?
41

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