Two prismatic beams with identical cross-sections are fabricated from steel and arranged as shown in the diagram below. The beams (AB and CD) have different lengths with the magnitude stated in Table 3. Due to the arrangement of the beams, there is an initial gap, A, separating the beams. The gap is present before any load has been applied to the beams. y w = wo sin A () Symbol E B Gallow Tallow LI L2 A C X Note: Diagram not to scale. Beam cross-section -L₂²- Figure 3: Arrangement of beams for question 2. Both beams have built in end supports. Beam AB is loaded with a varying distributed load. You have been tasked with analysing the beam arrangement. a) A non-uniform distributed load is applied to beam AB as shown above. Determine the intensity of the distributed load, wo, that closes the initial gap, A. This means that the maximum deflection of point B for beam AB will be equal to A. You can assume that the beams will contact. Value 200.0 250.0 150.0 400.0 250.0 1.0 ✓ 45mm 45mm Units GPa MPa MPa mm mm mm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Two prismatic beams with identical cross-sections are fabricated from steel and arranged as shown in
the diagram below. The beams (AB and CD) have different lengths with the magnitude stated in Table
3. Due to the arrangement of the beams, there is an initial gap, A, separating the beams. The gap is
present before any load has been applied to the beams.
w = wo sin
y
π.χ.
B
Symbol
E
IC
Gallow
Tallow
LI
L2
A
X
Note: Diagram not to scale.
D
-L₁
-L₂²
Figure 3: Arrangement of beams for question 2. Both beams have built in end supports. Beam AB is
loaded with a varying distributed load.
Value
200.0
250.0
150.0
400.0
Beam cross-section
You have been tasked with analysing the beam arrangement.
a) A non-uniform distributed load is applied to beam AB as shown above. Determine the
intensity of the distributed load, wo, that closes the initial gap, A. This means that the
maximum deflection of point B for beam AB will be equal to A. You can assume that the
beams will contact.
250.0
1.0
45mm
45mm
Units
GPa
MPa
MPa
mm
mm
mm
Transcribed Image Text:Two prismatic beams with identical cross-sections are fabricated from steel and arranged as shown in the diagram below. The beams (AB and CD) have different lengths with the magnitude stated in Table 3. Due to the arrangement of the beams, there is an initial gap, A, separating the beams. The gap is present before any load has been applied to the beams. w = wo sin y π.χ. B Symbol E IC Gallow Tallow LI L2 A X Note: Diagram not to scale. D -L₁ -L₂² Figure 3: Arrangement of beams for question 2. Both beams have built in end supports. Beam AB is loaded with a varying distributed load. Value 200.0 250.0 150.0 400.0 Beam cross-section You have been tasked with analysing the beam arrangement. a) A non-uniform distributed load is applied to beam AB as shown above. Determine the intensity of the distributed load, wo, that closes the initial gap, A. This means that the maximum deflection of point B for beam AB will be equal to A. You can assume that the beams will contact. 250.0 1.0 45mm 45mm Units GPa MPa MPa mm mm mm
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