The intensity applied to beam AB is increased by a factor of 2. (i.e. your answer for the ntensity magnitude , obtained in part (a) will be doubled and applied to beam AB). Calculate the maximum deflection of point B for this new load case. You can assume that the contact force between the two beams can be represented as a concentrated point load.
The intensity applied to beam AB is increased by a factor of 2. (i.e. your answer for the ntensity magnitude , obtained in part (a) will be doubled and applied to beam AB). Calculate the maximum deflection of point B for this new load case. You can assume that the contact force between the two beams can be represented as a concentrated point load.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Value of Wo= 15 N/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
A
A
Symbol
E
Gallow
Tallow
L₁
L2
Δ
B
C
Note: Diagram not to scale.
Value
200.0
250.0
150.0
400.0
250.0
1.0
D
Beam cross-section
45mm
45mm
Units
GPa
MPa
MPa
mm
mm
mm
The intensity applied to beam AB is increased by a factor of 2. (i.e. your answer for the
intensity magnitude 00, obtained in part (a) will be doubled and applied to beam AB).
Calculate the maximum deflection of point B for this new load case. You can assume that the
contact force between the two beams can be represented as a concentrated point load.
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Step 1: Given Data
VIEWStep 2: Equations
VIEWStep 3: Calculation of constants C1 & C2
VIEWStep 4: Calculation of constants C3 & C4
VIEWStep 5: Equation of y
VIEWStep 6: Total deflection at B
VIEWStep 7: Contact load (R) according allowable bending stress
VIEWStep 8: Contact load (R)
VIEWStep 9: Deflection at point B
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