2. Two pieces of wood, 2in by 4in, are glued together along the 40 degre joint. Determine the maximum safe axial load P that can be applied if the failure normal stress and the failure shear stress are 250psi and 300psi, respectively. Use a factor of safety equal to 1.2. P 2 in. 40°

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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2
3. Shear Stress
4
6.
Shear Stress, T
T=
A TDt
%3D
Double
Shear
Single Shear
P
Punch
Metal sheet
P
+ Ef x=0
-P+V :0
V =
A: TTDE
V:P
-Pt 2V:0
V = P
FBD
v-
V = P
FBD
FBD
1
3. Shear Stress
4
Sample Problem 5
Two wooden planks, each 22 mm thick and 160 mm wide, are
joined by the glued mortise joint shown. Determine the average
shear stress in the glue if P =
7.6 kN and d = 60 mm.
Glue
20 mm
P'
160 mm
20 mm
1
3. Shear Stress
4
5
6.
60mm
GO
Sampje Problem 5
22m
Given:
Glue
20 mm
22mm thick
P'
160 mm
160mm wide
20 mm
P = 7.6 kN
d = 60 mm
Required: 7
Solution:
V= P=76KN
A: 7(60)(22) mm²
7600N
7(6omm)(22mm)
7.0.8225MPQ
A
1
2
3. Shear Stress
4
6.
Sample Problem 6
If P = 20 kN, determine the average shear stress developed in
the pins at A and C. The pins are subjected to double shear as
shown, and each has a diameter of 18 mm.
30°
В
2 m
-2 m
-2 m
Transcribed Image Text:2 3. Shear Stress 4 6. Shear Stress, T T= A TDt %3D Double Shear Single Shear P Punch Metal sheet P + Ef x=0 -P+V :0 V = A: TTDE V:P -Pt 2V:0 V = P FBD v- V = P FBD FBD 1 3. Shear Stress 4 Sample Problem 5 Two wooden planks, each 22 mm thick and 160 mm wide, are joined by the glued mortise joint shown. Determine the average shear stress in the glue if P = 7.6 kN and d = 60 mm. Glue 20 mm P' 160 mm 20 mm 1 3. Shear Stress 4 5 6. 60mm GO Sampje Problem 5 22m Given: Glue 20 mm 22mm thick P' 160 mm 160mm wide 20 mm P = 7.6 kN d = 60 mm Required: 7 Solution: V= P=76KN A: 7(60)(22) mm² 7600N 7(6omm)(22mm) 7.0.8225MPQ A 1 2 3. Shear Stress 4 6. Sample Problem 6 If P = 20 kN, determine the average shear stress developed in the pins at A and C. The pins are subjected to double shear as shown, and each has a diameter of 18 mm. 30° В 2 m -2 m -2 m
2. Two pieces of wood, 2in by 4in, are glued together along the 40 degree
joint. Determine the maximum safe axial load P that can be applied if the
failure normal stress and the failure shear stress are 250psi and 300psi,
respectively. Use a factor of safety equal to 1.2.
P
2 in.
40°
Transcribed Image Text:2. Two pieces of wood, 2in by 4in, are glued together along the 40 degree joint. Determine the maximum safe axial load P that can be applied if the failure normal stress and the failure shear stress are 250psi and 300psi, respectively. Use a factor of safety equal to 1.2. P 2 in. 40°
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