Example 11.21. An experimental beam of steel and of uniform section, I = 5000 cm¹ is simply supported in a horizontal position by rigid supports 4 m apart. An elastic prop is placed under the beam at the mid-span with initial clearance between the top of the prop and the under-side of the beam. The beam is centrally loaded with a series of increasing loads. The observed central deflection is 8 mm for a concentrated load of 100 kN, and when the results are plotted, the slope of the load-deflection line is 27.3 kN per mm after the contact with the prop has occurred. Determine the stiffness of the prop and the initial clearance. Take E = 2.04 x 105 N/mm². Fig. 11.32 A 2m IW C, 8 IP 2m B
Example 11.21. An experimental beam of steel and of uniform section, I = 5000 cm¹ is simply supported in a horizontal position by rigid supports 4 m apart. An elastic prop is placed under the beam at the mid-span with initial clearance between the top of the prop and the under-side of the beam. The beam is centrally loaded with a series of increasing loads. The observed central deflection is 8 mm for a concentrated load of 100 kN, and when the results are plotted, the slope of the load-deflection line is 27.3 kN per mm after the contact with the prop has occurred. Determine the stiffness of the prop and the initial clearance. Take E = 2.04 x 105 N/mm². Fig. 11.32 A 2m IW C, 8 IP 2m B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Example 11.21. An experimental beam of
steel and of uniform section, I = 5000 cm4 is simply
supported in a horizontal position by rigid
supports 4 m apart. An elastic prop is placed under
the beam at the mid-span with initial clearance
between the top of the prop and the under-side of
the beam. The beam is centrally loaded with a
series of increasing loads. The observed central
deflection is 8 mm for a concentrated load of 100 kN, and when the results are plotted, the slope
of the load-deflection line is 27.3 kN per mm after the contact with the prop has occurred.
Determine the stiffness of the prop and the initial clearance. Take E = 2.04 × 105 N/mm².
Fig. 11.32
A
2m
C
W
8
IP
2m
B
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