Compound Stress

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Lecture 23 24
Compound Stress
Objective-
To find total stress (? and ?) from central
forces and moment.
Compound normal stress Normal stress caused by
different faces and moments such as (N, My,
Mz) Compound shear stress Shear stresses caused
by different forces and moments such as (Vy, Vz,
T)
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Compound Stress
y
My
Vy
N
Mz
Vz
x
z
T
Select sign wherever moment is causing tension
in ve y or ve z- axis.
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Example
A force of 15000 N is applied to the edge of the
member. Neglect the weight of the member and
determine the state of stress at point B and C.
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Solution
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Example
The member has a rectangular cross section.
Determine the state of stress that the loading
produces at point C.
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Solution
N 16.45 kN V 21.93 kN M
32.89 kNm
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Solution (cont.)
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Example
The solid rod has a radius of 0.75 cm. If it is
subjected to the loading shown, determine the
state of stress at point A.
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Solution
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Solution (cont.)
Internal Loading.
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Solution (cont.)
Normal Force.
Shear Force.
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Example
The rectangular block of negligible weight is
subjected to a vertical force of 40 kN, which is
applied to its corner. Determine the
normal-stress distribution acting on a section
through ABCD.
Normal Force.
Bending moment.
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Solution
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Solution (cont.)
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The enD