6.9 Problem: A bracket shown in the figure 6.9 carries an eccentric load of 30 &N at an eccentricity of 200 mm. Diameter of bolts is 20 mm a. Use the reduced eccentricity method of analysis. Compute the shearing stress of bolt A. Compute the shearing stress of bolt B. 3 Compute the shearing stress of bolt C. 75 75 200 mm 30 KN
6.9 Problem: A bracket shown in the figure 6.9 carries an eccentric load of 30 &N at an eccentricity of 200 mm. Diameter of bolts is 20 mm a. Use the reduced eccentricity method of analysis. Compute the shearing stress of bolt A. Compute the shearing stress of bolt B. 3 Compute the shearing stress of bolt C. 75 75 200 mm 30 KN
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Subject: Steel design- Bolted Steel Connection - BOLTS SUBJECTED TO ECCENTRIC LOADS
QUESTIONS:
HOW MANY BOLTS (N) SHOULD APPLY FOR THIS PROBLEM IS IT 6 or 4? Please justify your answers and explain and please refer the green circle in the picture. Kindly correct what N should use if 6 or 4. Thank you
![6.9 Problem:
A bracket shown in the figure 6.9 carries an eccentric load of 30 kN at an eccentricity
of 200 mm. Diameter of bolts is 20 mm Ø. Use the reduced eccentricity method of
analysis
M =
..
Compute the shearing stress of
bolt A.
Compute the shearing stress of
bolt B.
3 Compute the shearing stress of
bolt C.
Solution :
E centric
Shearing stress of
Z= = (x² + y²)
2 =
eccentricity
Diameter of
I moment =
Pxe
441 00 mm 2
RV₁ =
load = 30 KN
vertical load 2 =
=
; . Fv =
= 200 mm
= 30x 200 = 6000
30
4
Horizontal Load =
O
75
75
bolts
bolt A
4x (25²) + 6x (60²)
4
7.5 kn
RV2=
Horizontal load ₂ = RH₂ =
= 20mm
PO
Mx
60 60
000
6000 × 60
44100
= 8. 163235 kn
18. 69388 Kn
my
2
(vertical load)
=
Resultat Force=√(10.2040)² + (7.5+ 8·1632)²
Fr 1x (20)² = 18·693x 1000
18. 693 x 1000
x (20)²
200mm
kn.mm
6000 x 75
44100
= 10.201082 KN
20 mm & bolts
30 KN
=59.5044 тра
(safe)
75
75
Ⓒ
veretical
60:60
verstical
200 mm
199
Horizontal
Horizontal
.. Resultat
... Resultant
Shearing Stress of Bolt
Z=
= (x² + y²
2 = 44100 mm²
M = Pxe
sheating
- Horizontal Fone 2 =
20 mm o bolts
vertical Force 2
Horizontal force 1
Shearling shxss
z =
M=
Pxe
Fr=
Ax fv = R
30 KN
44100 mm 2
Fine
Force
2 =
=
fire 2 =
= 49.857
Stress
=
Rv₁ =
= RHI=0
RV₂
Forle (B) = √ (7-5+ 8.16323) ²
= 15.6632
κη
15-66 32 x 1000
퓨가 (20)2
R.V2
30 x 200
RH2
RH₂
349.
RHI
(fr) =
bolt
тра
=
B
=
2
mx
= 7.5 KN (vertical force 1)
му
my
6000kn.mum
4582
6000x60
44100
= 8 16 32
(safe)
210-204
= 18. 693802 KN
= 8.16 32 35
60007 75
44100
= 7.5
kn
6000x
44100
(10.2040) ²+ (7.5 + 2. 163225) ² Kn
18 693202 X
(20) 2
= 59 5044 69
1000
тра
KN
(safe)
Kn](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bd14e05-ccbf-4d19-81d0-69a83645678b%2Ffc380e32-61c5-4f3e-9afb-62717d318911%2F5k95y59_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.9 Problem:
A bracket shown in the figure 6.9 carries an eccentric load of 30 kN at an eccentricity
of 200 mm. Diameter of bolts is 20 mm Ø. Use the reduced eccentricity method of
analysis
M =
..
Compute the shearing stress of
bolt A.
Compute the shearing stress of
bolt B.
3 Compute the shearing stress of
bolt C.
Solution :
E centric
Shearing stress of
Z= = (x² + y²)
2 =
eccentricity
Diameter of
I moment =
Pxe
441 00 mm 2
RV₁ =
load = 30 KN
vertical load 2 =
=
; . Fv =
= 200 mm
= 30x 200 = 6000
30
4
Horizontal Load =
O
75
75
bolts
bolt A
4x (25²) + 6x (60²)
4
7.5 kn
RV2=
Horizontal load ₂ = RH₂ =
= 20mm
PO
Mx
60 60
000
6000 × 60
44100
= 8. 163235 kn
18. 69388 Kn
my
2
(vertical load)
=
Resultat Force=√(10.2040)² + (7.5+ 8·1632)²
Fr 1x (20)² = 18·693x 1000
18. 693 x 1000
x (20)²
200mm
kn.mm
6000 x 75
44100
= 10.201082 KN
20 mm & bolts
30 KN
=59.5044 тра
(safe)
75
75
Ⓒ
veretical
60:60
verstical
200 mm
199
Horizontal
Horizontal
.. Resultat
... Resultant
Shearing Stress of Bolt
Z=
= (x² + y²
2 = 44100 mm²
M = Pxe
sheating
- Horizontal Fone 2 =
20 mm o bolts
vertical Force 2
Horizontal force 1
Shearling shxss
z =
M=
Pxe
Fr=
Ax fv = R
30 KN
44100 mm 2
Fine
Force
2 =
=
fire 2 =
= 49.857
Stress
=
Rv₁ =
= RHI=0
RV₂
Forle (B) = √ (7-5+ 8.16323) ²
= 15.6632
κη
15-66 32 x 1000
퓨가 (20)2
R.V2
30 x 200
RH2
RH₂
349.
RHI
(fr) =
bolt
тра
=
B
=
2
mx
= 7.5 KN (vertical force 1)
му
my
6000kn.mum
4582
6000x60
44100
= 8 16 32
(safe)
210-204
= 18. 693802 KN
= 8.16 32 35
60007 75
44100
= 7.5
kn
6000x
44100
(10.2040) ²+ (7.5 + 2. 163225) ² Kn
18 693202 X
(20) 2
= 59 5044 69
1000
тра
KN
(safe)
Kn
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VIEWStep 5: Calculate forces in bolt B
VIEWStep 6: Calculate shear stress in bolt B
VIEWStep 7: Calculate forces in bolt C
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