The materials shown in the figure are rigidly attached with each othe r. This composite material is vertically and rigidly connected to the ce iling. If a 60 KN load is applied to the free end at the same time the t emperature of the system is increased by 50 degrees Celsius, comput e the total deformation of the composite material. Assume that all de formations, including the deformation caused by weights will happen at the same time. Assume also that the applied force 60 KN is equally distributed to all materials. Steel: D = 100 mm, L = 1 m, E = 200 GPa, a = 11.7 μm / (m-°C), p = 8,000 kg/cubic meter Copper: D = 60 mm, L = 1.20 m, E = 120 GPa, x = 16.7 µm/ (m-°C), p = 8,900 kg/cubic meter Aluminum: D = 40 mm, L = 1.80 m, E = 70 GPa, x = 25 µm / (m-°C), p = 2,700 kg/cubic meter 60 KN STEEL COPPER ALUMINUM
The materials shown in the figure are rigidly attached with each othe r. This composite material is vertically and rigidly connected to the ce iling. If a 60 KN load is applied to the free end at the same time the t emperature of the system is increased by 50 degrees Celsius, comput e the total deformation of the composite material. Assume that all de formations, including the deformation caused by weights will happen at the same time. Assume also that the applied force 60 KN is equally distributed to all materials. Steel: D = 100 mm, L = 1 m, E = 200 GPa, a = 11.7 μm / (m-°C), p = 8,000 kg/cubic meter Copper: D = 60 mm, L = 1.20 m, E = 120 GPa, x = 16.7 µm/ (m-°C), p = 8,900 kg/cubic meter Aluminum: D = 40 mm, L = 1.80 m, E = 70 GPa, x = 25 µm / (m-°C), p = 2,700 kg/cubic meter 60 KN STEEL COPPER ALUMINUM
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Answer number 3 only
Transcribed Image Text:3
The materials shown in the figure are rigidly attached with each othe
r. This composite material is vertically and rigidly connected to the ce
iling. If a 60 KN load is applied to the free end at the same time the t
emperature of the system is increased by 50 degrees Celsius, comput
e the total deformation of the composite material. Assume that all de
formations, including the deformation caused by weights will happen
at the same time. Assume also that the applied force 60 KN is equally
distributed to all materials.
Steel:
D = 100 mm, L = 1 m, E = 200 GPa,
a = 11.7 μm / (m-°C), p = 8,000 kg/cubic meter
Copper:
D = 60 mm, L = 1.20 m, E = 120 GPa,
x = 16.7 µm / (m-°C), p = 8,900 kg/cubic meter
Aluminum:
D = 40 mm, L = 1.80 m, E = 70 GPa,
x = 25 µm / (m-°C), p = 2,700 kg/cubic meter
60 KN
STEEL
COPPER
ALUMINUM
Transcribed Image Text:4
In item number 3, if there is a gap of 0.50 mm between the free end
of the aluminum rod and the floor, will the composite rod touch the s
urface of the floor? Prove your answer.
60 KN
STEEL
COPPER
ALUMINUM
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