Rod ABC consists of two cylindrical portions AB and BC; it is made of a mild steel that is assumed to be elastoplastic with E = 200 GPa and oy = 250 MPa. A force P is applied to the rod and then removed to give it a permanent set Sp = 2mm. Determine the maximum value of the force P and the maximum amount 8m by which the rod should be stretched to give it the desired permanent set. 1.2 m C 40-mm diameter B 0.8 m 30-mm diameter A P The steel rod ABC is attached to rigid supports and is unstressed at a temperature of 25°C. The steel is assumed elastoplastic with E = 200 GPa and oy = 250 MPa. The temperature of both portions of the rod is then raised to 150°C. Knowing that a = 11.7 × 10-6/°C, determine (a) the stress in both portions of the rod, (b) the deflection of point C. A = 500 mm² A A = 300 mm² C B -250 mm 150 mm

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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Procedure:
1- Cartesian system, 2D3D,
type of support
2- Free body diagram
3 - Find the support reactions
4- If you find a negative
number then flip the force
5- Find the internal force
3D
∑Fx=0
∑Fy=0
∑Fz=0
∑Mx=0
∑My=0
ΣMz=0
2D
ΣFx=0
ΣFy=0
ΣMz=0
5- Use method of section
and cut the element
where you want to find
the internal force and
keep either side of the
Rod ABC consists of two cylindrical portions AB and BC; it is made of a mild steel that is assumed to be
elastoplastic with E = 200 GPa and oy = 250 MPa. A force P is applied to the rod and then removed to give
it a permanent set Sp = 2mm. Determine the maximum value of the force P and the maximum amount 8m by
which the rod should be stretched to give it the desired permanent set.
1.2 m
C
40-mm
diameter
B
0.8 m
30-mm
diameter
A
P
Transcribed Image Text:Rod ABC consists of two cylindrical portions AB and BC; it is made of a mild steel that is assumed to be elastoplastic with E = 200 GPa and oy = 250 MPa. A force P is applied to the rod and then removed to give it a permanent set Sp = 2mm. Determine the maximum value of the force P and the maximum amount 8m by which the rod should be stretched to give it the desired permanent set. 1.2 m C 40-mm diameter B 0.8 m 30-mm diameter A P
The steel rod ABC is attached to rigid supports and is unstressed at a temperature of 25°C. The steel is assumed
elastoplastic with E = 200 GPa and oy = 250 MPa. The temperature of both portions of the rod is then raised
to 150°C. Knowing that a = 11.7 × 10-6/°C, determine (a) the stress in both portions of the rod, (b) the
deflection of point C.
A = 500 mm²
A
A = 300 mm²
C
B
-250 mm
150 mm
Transcribed Image Text:The steel rod ABC is attached to rigid supports and is unstressed at a temperature of 25°C. The steel is assumed elastoplastic with E = 200 GPa and oy = 250 MPa. The temperature of both portions of the rod is then raised to 150°C. Knowing that a = 11.7 × 10-6/°C, determine (a) the stress in both portions of the rod, (b) the deflection of point C. A = 500 mm² A A = 300 mm² C B -250 mm 150 mm
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