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Shear Stress in Beams
(6.16.4)
MAE 314 – Solid Mechanics
C. H. Tran
Shear Stress in Beams
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Review
Previous two chapters only dealt with normal stresses caused by
bending moments.
Chapter 6 deals with shear stress caused by shear forces.
Line of failure
Shear Stress in Beams
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hear Stress in Beams
Shear Stress in Beams
Consider the effects of shear force ሺVሻ.
lready know how to find resulting axial force and
Already know how to find resulting axial force and
moment due to stress σ
x
from Chapter 4.
We have two more equations for shear stress:
Total shear force in the y‐direction:
otal shear force in the
irection
V
dA
xy
Shear Stress in Beams
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Total shear force in the z‐direction:
0
dA
xz
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Shear Stress in Beams
Consider a cantilever beam composed of separate planks clamped at
one end:
Pure bending
Shear force
hear force causes tendency to “slide ”
Shear force causes tendency to slide.
Stresses are equal in horizontal and
vertical directions.
Shear Stress in Beams
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Shear Stress: Horizontal
Let us consider the horizontal component ሺτ
xz
ൌ τ
zx
ሻ.
Cut a section with cross‐sectional
area a at a distance y above the
y
1
centroid.
FBD
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This note was uploaded on 07/07/2011 for the course MAE 315 taught by Professor Wu during the Spring '08 term at N.C. State.
 Spring '08
 WU
 Shear, Stress

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