ENGN.2060 Lecture 3: Assignment3

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25
b
d
t
B
A
d
PROBLEM 1.23
Link AB, of width b = 2 in. and thickness t = 1
4 in., is used to support the end of a
horizontal beam. Knowing that the average normal stress in the link is 20 ksi and
that the average shearing stress in each of the two pins is 12 ksi, determine (a) the
diameter d of the pins, (b) the average bearing stress in the link.
SOLUTION
Rod AB is in compression.
1
where 2 in. and in.
4
1
(20)(2) 10 kips
4
V
§·
¨¸
©¹
Abt b t
P
A
Pin: P
P
P
A
W
and 2
4
P
A
d
S
(a) 44(4)(10)
1.03006 in.
(12)
P
P
AP
d
SSW S
1.030 in
.
d
W
(b) 10 38.833 ksi
(1.03006)(0.25)
b
dt
V
38.8ksi
b
V
W
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Document Summary

Link ab, of width b = 2 in. and thickness t = 1 in. , is used to support the end of a. A (cid:32) (cid:16) (cid:16) ( 20)(2) (cid:167) (cid:168) (cid:169) The 1. 4-kip load p is supported by two wooden members of uniform cross section that are joined by the simple glued scarf splice shown. Determine the normal and shearing stresses in the glued splice. 15 (cid:113) (1400) sin 60 (2)(15) (cid:86) (cid:32) Link ab is to be made of a steel for which the ultimate normal stress is. Determine the cross-sectional area of ab for which the factor of safety will be 3. 20. Assume that the link will be adequately reinforced around the pins at a and b. Ab (cid:113) sin 35 ) (0. 7)(2. 52) (cid:14) (1. 4)(5) (cid:32) A load p is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling.

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