1 Deflection of an I-Beam(100 %) You are to develop a program that calculates the vertical deflection of a beam subjected to a force acting on it as given in Figure 1. The I-Beam has length, L = 2m with its left end fixed at the wall (no deflection at wall). The right end of the beam is applied with a vertical load force P with a vertical deflection function Px? (3L – x) EI(x) v(x) (1) where x = [0, L] and I(x) is the moment of inertia of the cross section about its neutral axis(second moment of inertia) defined as wh3 – (h – 2t)³(w – b) I(x) = (2) 12 The beam has a cross-sectional diagram in Figure 2 and has the following properties. • w = 150mm for 0
1 Deflection of an I-Beam(100 %) You are to develop a program that calculates the vertical deflection of a beam subjected to a force acting on it as given in Figure 1. The I-Beam has length, L = 2m with its left end fixed at the wall (no deflection at wall). The right end of the beam is applied with a vertical load force P with a vertical deflection function Px? (3L – x) EI(x) v(x) (1) where x = [0, L] and I(x) is the moment of inertia of the cross section about its neutral axis(second moment of inertia) defined as wh3 – (h – 2t)³(w – b) I(x) = (2) 12 The beam has a cross-sectional diagram in Figure 2 and has the following properties. • w = 150mm for 0
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Deflection of an I-Beam(100 %)
You are to develop a program that calculates the vertical deflection of a beam
subjected to a force acting on it as given in Figure 1. The I-Beam has length,
L = 2m with its left end fixed at the wall (no deflection at wall). The right end of
the beam is applied with a vertical load force P with a vertical deflection function
Px?
(3L – x)
EI(x)
v(x)
(1)
where x = [0, L] and I(x) is the moment of inertia of the cross section about its
neutral axis(second moment of inertia) defined as
wh3 – (h – 2t)³(w – b)
I(x) =
(2)
12
The beam has a cross-sectional diagram in Figure 2 and has the following
properties.
• w = 150mm for 0 <x < L/2; w = 90mm for L/2 < x < L
• h = 100mm; b= 5mm; t = 8mm
Assume that the Young's Modulus (the inherent 'strength' of the beam) E =
7 x 1010Pa and that the load at the tip P = 3kN. Your code should have the
following:
1. A function or subroutine to compute the second moment of inertia I(x)
2. A function or subroutine to compute the overall deflection v(x) of the I-
beam.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa1fb531-a671-4652-9745-dc6f9da9adcd%2Fd991d87f-f60e-485d-957e-e7ee2d9ac82f%2Fleaaqaw_processed.png&w=3840&q=75)
Transcribed Image Text:1
Deflection of an I-Beam(100 %)
You are to develop a program that calculates the vertical deflection of a beam
subjected to a force acting on it as given in Figure 1. The I-Beam has length,
L = 2m with its left end fixed at the wall (no deflection at wall). The right end of
the beam is applied with a vertical load force P with a vertical deflection function
Px?
(3L – x)
EI(x)
v(x)
(1)
where x = [0, L] and I(x) is the moment of inertia of the cross section about its
neutral axis(second moment of inertia) defined as
wh3 – (h – 2t)³(w – b)
I(x) =
(2)
12
The beam has a cross-sectional diagram in Figure 2 and has the following
properties.
• w = 150mm for 0 <x < L/2; w = 90mm for L/2 < x < L
• h = 100mm; b= 5mm; t = 8mm
Assume that the Young's Modulus (the inherent 'strength' of the beam) E =
7 x 1010Pa and that the load at the tip P = 3kN. Your code should have the
following:
1. A function or subroutine to compute the second moment of inertia I(x)
2. A function or subroutine to compute the overall deflection v(x) of the I-
beam.
Transcribed Image Text:L
Fig. 1: Vertical load P acting on I-beam.
W
b
h
Fig. 2: Cross-sectional diagram of I-beam.
P.
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