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CVG2140
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1CVG2140 Winter 2014Mechanics of Materials
Course InstructorWon Taek Oh
A609(CBY)[email protected]
13 March 2014 Department of Civil Engineering
@(613)562-5800 Ext. 6687
Resultant Forces Produced by Bending Stress
2
(E1 = E2)
2 Resultant Forces Produced by Bending Stress
2 2 2 211 0 6000 2 0 6000212
BF . N mm / mm . N mm mm
kN
3
2 2 2 211 5 6000 3 0 60002
18
CF . N mm / mm . N mm mm
kN
Resultant Forces Produced by Bending Stress
Shear force
4
3 Example 1A beam segment if subjected to the internal bending moments shown. The cross-sectional dimensions of the beam are given. gDetermine the horizontal force required to satisfy equilibrium for the specified area and show the location and direction of this force in the sketch.
5
The Shear Stress Formula Shear stresses produced in a prismatic beam made of a
homogeneous liner-elastic material
6
4 The Shear Stress Formula Shear stresses produced in a prismatic beam made of a
homogeneous liner-elastic materialg
7
The Shear Stress Formula Shear stresses produced in a prismatic beam made of a
homogeneous liner-elastic material
0x HA Az z
M MMF y dA y dA FI I
0x HA A Az z z
M M MF y dA y dA y dA FI I I
M MF y dA y dA
8
H A Az z
F y dA y dAI I
H
z
MQFI
5 The Shear Stress Formula Shear stresses produced in a
prismatic beam made of a phomogeneous liner-elastic material
34
675 3000006
33750000H z
kN mm mmMQF kNI mm
9
The Shear Stress Formula Shear stress in a beam
,H
H avgz z
F M Q M Qt x t x I x I t
0x
10
Hz
dM Qdx I t
6 The Shear Stress Formula Shear stress in a beam
dM Vdx
Hz
VQI t
11
z
VQI t
Shear stress formula