For the beam and loading shown, use discontinuity functions to compute (a) the deflectionof the beam at A and (b) the deflection of the beam at C. Assume a constant value ofEI = 23000 kN m² for the beam. Also, assume P = 22 kN, WB = 25 kN/m, wc = 633.0 m, b = 3.9 m, and c = 1.4 m.kN/m, aP=aWBBbWC1X Write the beam deflection function EI v(x) for this case in terms of discontinuityfunctions. Then, integrate it four times to obtain an expression for the beamdeflection, u, in terms of integration constants C₁ and C₂. In the seven input fieldsbelow, enter the numerical values, with correct signs, required to make thesefunctions correct for this case.EI u(x) =ikN (x − 0 m)³ +kN (x 3.0 m)³ +kN/m (x − 3.0 m)4 +kN/m² (x 3.0 m)³ +kN/m (x − 6.9 m)ª +kN/m² (x − 6.9 m)³ +kN (x 8.3 m)³ + C₁x + C₂

Data given EI = 23000 kN/m2 Find: (a) Deflection at A (b) Deflection at C

For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI = 23000 kN.m² for the beam. Also, assume P = 22 kN, WB = 25 kN/m, wc = 63 kN/m, a A P = 3.0 m, b = 3.9 m, and c WB B b = : 1.4 m. WC D

For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI = 23000 kN.m² for the beam. Also, assume P = 22 kN, WB = 25 kN/m, wc = 63 kN/m, a A P = 3.0 m, b = 3.9 m, and c WB B b = : 1.4 m. WC D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

For the beam and loading shown, use discontinuity functions to compute (a) the deflection
of the beam at A and (b) the deflection of the beam at C. Assume a constant value of
EI = 23000 kN m² for the beam. Also, assume P = 22 kN, WB = 25 kN/m, wc = 63
3.0 m, b = 3.9 m, and c = 1.4 m.
kN/m, a
P
=
a
WB
B
b
WC
1
X

Write the beam deflection function EI v(x) for this case in terms of discontinuity
functions. Then, integrate it four times to obtain an expression for the beam
deflection, u, in terms of integration constants C₁ and C₂. In the seven input fields
below, enter the numerical values, with correct signs, required to make these
functions correct for this case.
EI u(x) =
i
kN (x − 0 m)³ +
kN (x 3.0 m)³ +
kN/m (x − 3.0 m)4 +
kN/m² (x 3.0 m)³ +
kN/m (x − 6.9 m)ª +
kN/m² (x − 6.9 m)³ +
kN (x 8.3 m)³ + C₁x + C₂

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