4 in. 7 in. D 75° В 20° 8 in. 400 IE F 1S in

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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3. The hydraulic cylinder CF, which partially controls the position of rod DE,
has been locked in the position shown. Member BD is 5/8in thick and is
connected to the vertical rod by a 3/8in diameter bolt. Determine the average
shearing stress in the bolt and the bearing stress on member BD due to Pin C.
4 in.-
7 in.
D
75°
В
C
20°
E
8 in.
400 lb
A
F
1.8 in.
Transcribed Image Text:3. The hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is 5/8in thick and is connected to the vertical rod by a 3/8in diameter bolt. Determine the average shearing stress in the bolt and the bearing stress on member BD due to Pin C. 4 in.- 7 in. D 75° В C 20° E 8 in. 400 lb A F 1.8 in.
Sample Problem 8
1
2
4. Bearing Stress
6
7.5 mm
For the joint shown in the figure, calculate (a) the largest bearing
stress between the pin and the members; (b) the average shear
stress in the pin; and (c) the largest average normal stress in the
members.
25 kN
25 kN
Sample Problem 8
12 mm
12 mm
7,5 mn
+ Consi der
tmember 2
Normal Stress
12.5 mm
A• (12 )(1B ) : 216mm2
A. (12)(25-125):/5omm?
7.5 mm
25 kN
25 kN
25 kN
25 kN
12 mm
12 mm
- 18 mm
125 mm
18 mm
7.5 mm
F
Ozmay
25000
12.5 mm
A
ISD
Tizmm
Ozmax 166 646
25 kN
25 kN
- 18 mm
25 mm
18 mm
1
4. Bearing Stress
7.5 mm
25 kN
25 kN
Sample Problem 8
12 mm
12 mm
1
2
3
4. Bearing Stress
6.
7.5 mm
Given:
Sample Problem 9
12.5 mm
Required: omar, 7, Tmax .Ozmax
Solution:
Link AB, of width b = 50 mm and thickness t =
6 mm, is used to support the end of a horizontal
beam. Knowing that the average normal stress in
the link is -140 MPa , and that the average
shearing stress in each of the two pins is 80 MPa,
determine (a) the diameter d of the pins, (b) the
average bearing stress in the link.
A
25 kN
25 kN
18 mm
25 mm
18 mm
+ Consider Bearing Stress
Pb
25 O00
133 3333 MPa
%3D
Abi 2(125)(5)
125
Pb
25000
%3D
: 166. 6667 MP a
Apz Tes)(12)
12mm
Oomax:166 6667 mpal
1
2
4. Bearing Stress
7,5 mm
1
2
3
4. Bearing Stress
25 kN
25 kN
Sample Problem 8
+ Consider
12 mm
12 mm
Sample Problem 9
7.5 mm
Shear
Stress
P
: 125 KN
12.5 mm
Given:
* Consider FAB
2
b = 50mm
12500
FAB
25 kN
25 kN
t = 6mm
て
A
18 nm
25 mm
18 mm
AAB
(2s)
7. 101.8592MPa
* Consider Norma!
Stress on Member I
= Z16 mm
o = -140MPa
T = 80MPA
FAB
Required: d, oo
Solution:
ー140
A (12)()
(Sanm conm)
Fe: -42 000 N,
В
O A: [(15)(25 - 12s1 5mm?
12'0
+ Consider d
V: FAB 4200ON
2 S000
187-5
: 133-3333MPO
Oimax
こ
4200ON
A
80 N
7.
A
d: 25 8544 m
1
2
3
4. Bearing Stress
6.
3
4. Bearing Stress
5
6
7.5 mm
25 kN
25 kN
Sample Problem 9
Bearing Stress
Sample Problem 8
12 mm
mm
7.5 mm
+ Consi der Normal Stress
tmember 2
+ Consider
Po
A
12.5 mm
@ A• (12)(1B) : 216mm2
© A• (2)(25-12 5)somm?
td
25 kN
25 kN
18 mm
125 mm
18 mm
42000
(6)(25-8544)
F
Ozmax
25000
B
A
MPa סך7 ב
ISO
A Tizmm
Ozmax 166 6467al
Transcribed Image Text:Sample Problem 8 1 2 4. Bearing Stress 6 7.5 mm For the joint shown in the figure, calculate (a) the largest bearing stress between the pin and the members; (b) the average shear stress in the pin; and (c) the largest average normal stress in the members. 25 kN 25 kN Sample Problem 8 12 mm 12 mm 7,5 mn + Consi der tmember 2 Normal Stress 12.5 mm A• (12 )(1B ) : 216mm2 A. (12)(25-125):/5omm? 7.5 mm 25 kN 25 kN 25 kN 25 kN 12 mm 12 mm - 18 mm 125 mm 18 mm 7.5 mm F Ozmay 25000 12.5 mm A ISD Tizmm Ozmax 166 646 25 kN 25 kN - 18 mm 25 mm 18 mm 1 4. Bearing Stress 7.5 mm 25 kN 25 kN Sample Problem 8 12 mm 12 mm 1 2 3 4. Bearing Stress 6. 7.5 mm Given: Sample Problem 9 12.5 mm Required: omar, 7, Tmax .Ozmax Solution: Link AB, of width b = 50 mm and thickness t = 6 mm, is used to support the end of a horizontal beam. Knowing that the average normal stress in the link is -140 MPa , and that the average shearing stress in each of the two pins is 80 MPa, determine (a) the diameter d of the pins, (b) the average bearing stress in the link. A 25 kN 25 kN 18 mm 25 mm 18 mm + Consider Bearing Stress Pb 25 O00 133 3333 MPa %3D Abi 2(125)(5) 125 Pb 25000 %3D : 166. 6667 MP a Apz Tes)(12) 12mm Oomax:166 6667 mpal 1 2 4. Bearing Stress 7,5 mm 1 2 3 4. Bearing Stress 25 kN 25 kN Sample Problem 8 + Consider 12 mm 12 mm Sample Problem 9 7.5 mm Shear Stress P : 125 KN 12.5 mm Given: * Consider FAB 2 b = 50mm 12500 FAB 25 kN 25 kN t = 6mm て A 18 nm 25 mm 18 mm AAB (2s) 7. 101.8592MPa * Consider Norma! Stress on Member I = Z16 mm o = -140MPa T = 80MPA FAB Required: d, oo Solution: ー140 A (12)() (Sanm conm) Fe: -42 000 N, В O A: [(15)(25 - 12s1 5mm? 12'0 + Consider d V: FAB 4200ON 2 S000 187-5 : 133-3333MPO Oimax こ 4200ON A 80 N 7. A d: 25 8544 m 1 2 3 4. Bearing Stress 6. 3 4. Bearing Stress 5 6 7.5 mm 25 kN 25 kN Sample Problem 9 Bearing Stress Sample Problem 8 12 mm mm 7.5 mm + Consi der Normal Stress tmember 2 + Consider Po A 12.5 mm @ A• (12)(1B) : 216mm2 © A• (2)(25-12 5)somm? td 25 kN 25 kN 18 mm 125 mm 18 mm 42000 (6)(25-8544) F Ozmax 25000 B A MPa סך7 ב ISO A Tizmm Ozmax 166 6467al
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