A 1200 N and 800 N forces as well as a 200 Nm torque are applied at end B of shaft BC as shown in Figure 1 below. The shaft has a diameter of 40 mm. For the given loading condition, a) draw the FBD of the shaft segment (showing the internal loads) and determine the internal loadings Nx,Vy, Vz, My, M, and T, at the cross-section 200 mm away from the point of load application, b) determine the state of stress, (x) (Txy) and (Txz)A, at point A, and c) draw the differential volume stress element at point A, that shows all stresses, and the principal stresses, 0₁ and 02, the orientation of the principal planes, Op1 and Op2, for the same point A on the cross-section.

A 1200 N and 800 N forces as well as a 200 Nm torque are applied at end B of shaft BC as shown in Figure 1 below. The shaft has a diameter of 40 mm. For the given loading condition, a) draw the FBD of the shaft segment (showing the internal loads) and determine the internal loadings Nx,Vy, Vz, My, M, and T, at the cross-section 200 mm away from the point of load application, b) determine the state of stress, (x) (Txy) and (Txz)A, at point A, and c) draw the differential volume stress element at point A, that shows all stresses, and the principal stresses, 0₁ and 02, the orientation of the principal planes, Op1 and Op2, for the same point A on the cross-section.

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

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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1.
A 1200 N and 800 N forces as well as a 200 Nm
torque are applied at end B of shaft BC as shown in Figure 1
below. The shaft has a diameter of 40 mm. For the given
loading condition,
a) draw the FBD of the shaft segment (showing the internal
loads) and determine the internal loadings Nx,Vy, V-, My,
M-, and Tx, at the cross-section 200 mm away from the
point of load application,
b) determine the state of stress, (x), (Txy) and (Txz) A›
at point A, and
c) draw the differential volume stress element at point A,
that shows all stresses, and
d)
the principal stresses, 0₁ and 02, the
orientation of the principal planes, Op1 and 0p2, for the
same point A on the cross-section.
1200 N
200 mm
y
800 N
200 mm/
200 Nm
Figure 1
Z

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