shown in Figure 4. Columns A and B, both with a diameter of X12 mm are made of steel, and column C with X13 mm diameter is made of aluminium. The three columns are subjected to a temperature rise of 80°C. The elastic modulus of steel and aluminium are 200 GPa and 70 GPa, respectively, and the coefficient of thermal expansion for steel and aluminium are 12x106/°C and 24x106/°C, respectively. Due to the temperature rise, solve the following questions: a. Calculate the axial forces exerted on the steel and aluminium columns. b. Determine the normal stresses induced on the steel and aluminium columns. (17%) (8 %)
shown in Figure 4. Columns A and B, both with a diameter of X12 mm are made of steel, and column C with X13 mm diameter is made of aluminium. The three columns are subjected to a temperature rise of 80°C. The elastic modulus of steel and aluminium are 200 GPa and 70 GPa, respectively, and the coefficient of thermal expansion for steel and aluminium are 12x106/°C and 24x106/°C, respectively. Due to the temperature rise, solve the following questions: a. Calculate the axial forces exerted on the steel and aluminium columns. b. Determine the normal stresses induced on the steel and aluminium columns. (17%) (8 %)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Transcribed Image Text:A rigid block with a weight of X11 KN is supported by 3 columns (of 2 m height) as
shown in Figure 4. Columns A and B, both with a diameter of X12 mm are made of
steel, and column C with X13 mm diameter is made of aluminium. The three columns
are subjected to a temperature rise of 80°C. The elastic modulus of steel and aluminium
are 200 GPa and 70 GPa, respectively, and the coefficient of thermal expansion for steel
and aluminium are 12x10-6°C and 24x10-6°C, respectively. Due to the temperature
rise, solve the following questions:
a. Calculate the axial forces exerted on the steel and aluminium columns.
b. Determine the normal stresses induced on the steel and aluminium
columns.
A
110mm
DIA
Rigid block
C
130mm
DIA
1.5 m
400 KN
1.5 m
B
2 m
110mm
DIA
(17%)
(8%)
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what is the formula used in the -δp + δt = -δp + δt = -δp + δt part at the top?
what is the difference between the δp and δt? Why do they have different solutions in the following line of working?
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