The flat bar shown in the figure is subjected to tensile forces P = 3000 lb. The bar has thickness t = 0.25 in. a) If the designer wants to make a stepped bar with shoulder fillets as shown in the figure, determine R the maximum stresses for fillet radii R = 0.25 in. and R = 0.5 in. if the bar widths are b = 4.0 in. and c = 2.5 in. b) Comment on the relation between the stress and the fillet radius each time it is increased. c) What is the factor of safety for each fillet radius if the part is made of cast iron Sat = 30 ksi? Solution: 3.0 2.8 F1.15 D/d = 2 D 2.6 1.5 2.4 - P P 2.2 -1.05 A td к, 2.0 - 3.0 1.8 - 1.6E1.01 1.4 1.2 1.0 0.05 0.10 0.15 0.20 0.25 0.30 r/d

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.10.1P: The flat bars shown in parts a and b of the figure are subjected to tensile forces P = 3.0 kips....
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The flat bar shown in the figure is subjected to tensile forces P = 3000 lb. The bar has thickness t =
0.25 in.
a) If the designer wants to make a stepped bar with
shoulder fillets as shown in the figure, determine
R
the maximum stresses for fillet radii R = 0.25 in.
P
and R = 0.5 in. if the bar widths are b = 4.0 in. and
c = 2.5 in.
b) Comment on the relation between the stress and
the fillet radius each time it is increased.
c) What is the factor of safety for each fillet radius if the part is made of cast iron Sut = 30 ksi?
Solution:
3.0
2.8
D/d = 2
1.15
D.
2.6
1.5
2.4
2.2 -
1.05
O nom
%3D
%3D
td
к, 2.0
3.0
1.8 E
1.6 E 1.01
1.4 E
1.2
1.0
0.05
0.10
0.15
0.20
0.25
0.30
r/d
Transcribed Image Text:The flat bar shown in the figure is subjected to tensile forces P = 3000 lb. The bar has thickness t = 0.25 in. a) If the designer wants to make a stepped bar with shoulder fillets as shown in the figure, determine R the maximum stresses for fillet radii R = 0.25 in. P and R = 0.5 in. if the bar widths are b = 4.0 in. and c = 2.5 in. b) Comment on the relation between the stress and the fillet radius each time it is increased. c) What is the factor of safety for each fillet radius if the part is made of cast iron Sut = 30 ksi? Solution: 3.0 2.8 D/d = 2 1.15 D. 2.6 1.5 2.4 2.2 - 1.05 O nom %3D %3D td к, 2.0 3.0 1.8 E 1.6 E 1.01 1.4 E 1.2 1.0 0.05 0.10 0.15 0.20 0.25 0.30 r/d
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