ENGN.2060 Lecture Notes - Lecture 2: Strain Gauge
13 Jun 2018
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3
d
1
d
2
125 kN
125 kN
60 kN
C
A
B
0.9 m 1.2 m
PROBLEM 1.1
Two solid cylindrical rods AB and BC are
welded together at B and loaded as shown.
Knowing that 130 mmd and 250 mm,d
find the average normal stress at the
midsection of (a) rod AB, (b) rod BC.
SOLUTION
(a) Rod AB:
Force: 3
60 10 N tensionP u
Area: 232 62
1(30 10 ) 706.86 10 m
44
Ad
S
S
u u
Normal stress:
36
6
60 10 84.882 10 Pa
706.86 10
AB
P
A
V
u
u
u 84.9 MPa
AB
V
W
(b) Rod BC:
Force: 333
60 10 (2)(125 10 ) 190 10 N
P
u u u
Area: 232 32
2(50 10 ) 1.96350 10 m
44
Ad
S
S
u u
Normal stress:
36
3
190 10 96.766 10 Pa
1.96350 10
BC
P
A
V
u
u
u
96.8 MPa
B
C
V
W
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Document Summary
Two solid cylindrical rods ab and bc are welded together at b and loaded as shown. Knowing that find the midsection of (a) rod ab, (b) rod bc. the average normal stress at d (cid:32) A strain gage located at c on the surface of bone ab indicates that the average normal stress in the bone is 3. 80 mpa when the bone is subjected to two 1200-n forces as shown. Assuming the cross section of the bone at c to be annular and knowing that its outer diameter is 25 mm, determine the inner diameter of the bone"s cross section at c. 6 (3. 80 10 ) (cid:117) (cid:32) (cid:32) d. Each of the four vertical links has an 8 uniform rectangular cross section and each of the four pins has a 16-mm diameter. Determine the maximum value of the average normal stress in the links connecting (a) points b and d, (b) points c and e.
