A steel rod with varying cross-sectional areas is fixed at both ends, as shown in the figure below. L1=100mm, L2=50mm, A1=300mm2, A2=100mm2. The elastic modulus is ?= 2×105???, and the material has a thermal expansion coefficient of ?=12×10-6°C-1. Assuming that the rod is stress-free at 10°C .  a. Calculate the normal stress in the rod assuming temperature increases to 30°C.  b. Draw the normal force diagram at 30°C, with the origin and direction of x axis indicated by the red arrow.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A steel rod with varying cross-sectional areas is fixed at both ends, as shown in the figure
below. L1=100mm, L2=50mm, A1=300mm2, A2=100mm2. The elastic modulus is ?=
2×105???, and the material has a thermal expansion coefficient of ?=12×10-6°C-1.
Assuming that the rod is stress-free at 10°C . 

a. Calculate the normal stress in the rod assuming temperature increases to 30°C. 
b. Draw the normal force diagram at 30°C, with the origin and direction of x axis
indicated by the red arrow.

X
L₁
A1
A2
L2
Transcribed Image Text:X L₁ A1 A2 L2
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im confused, the are witch the pressure is effecting is the are that the beam is in contact with the wall, that mean that the the force is = Q=P1/A, the the A would be 300m2/100m= L3 lets call it, and then L3 x Z, Z being the thickness of the beam in the Z direction, the same applies to P2, i think there is something missing in these solutions

 

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