Three forces of magnitude P1, P2 and P3 are applied as shown figure to the end (D) of the member (CD), which is connected to a solid shaft (CE) of radius (r=20 mm). Knowing that the distance from (D) to the axis of shaft (CE) is 400 mm, and point (A) is located at a distance 200 mm from the end (C). Assuming that all stress remain below the proportional limit of the material. Note: P1, P2 and P3 are assigned for each student as in the table provided. Answer the following questions. (a) Determine the principal stresses and principal planes, maximum shearing stress at point A located on the surface of the shaft (CE) at the x-axis.

Three forces of magnitude P1, P2 and P3 are applied as shown figure to the end (D) of the member (CD), which is connected to a solid shaft (CE) of radius (r=20 mm). Knowing that the distance from (D) to the axis of shaft (CE) is 400 mm, and point (A) is located at a distance 200 mm from the end (C). Assuming that all stress remain below the proportional limit of the material. Note: P1, P2 and P3 are assigned for each student as in the table provided. Answer the following questions. (a) Determine the principal stresses and principal planes, maximum shearing stress at point A located on the surface of the shaft (CE) at the x-axis.

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

p1= 1780 N

p2 = 1570 N

p3 = 1340 N

Three forces of magnitude P1, P2 and P3 are applied as shown figure to the end (D) of
the member (CD), which is connected to a solid shaft (CE) of radius (r=20 mm).
Knowing that the distance from (D) to the axis of shaft (CE) is 400 mm, and point (A)
is located at a distance 200 mm from the end (C). Assuming that all stress remain
below the proportional limit of the material.
Note: P1, P2 and P3 are assigned for each student as in the table provided.
Answer the following questions.
(a) Determine the principal stresses and principal planes, maximum shearing stress at
point A located on the surface of the shaft (CE) at the x-axis.
(b) Determine the principal stresses and principal planes, maximum shearing stress at
point B located on the surface of the shaft (CE) at the y-axis.
C
400 mm
a
P1
200 mm
D
P2
20 mm
E
P3
B

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