Example drawn steel 40C8 (S= 600 N/mm² and S, = 380 N/mm?) is shown in Fig. at the free end varies from -50 N to +150 N. The expected reliability is 90% and the factor of safety is 2. The notch sensitivity factor at the fillet is 0.9. Determine the diameter 'd'of the beam at the fillet A cantilever beam made of cold The force P acting cross-section.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
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Ben

60
O = '80
Tym = 70
tyy = 35
43
Example
drawn steel 40C8 (S, = 600 N/mm² and S, = 380
N/mm?) is shown in Fig.
at the free end varies from -50 N to +150 N. The
expected reliability is 90% and the factor of safety
is 2. The notch sensitivity factor at the fillet is 0.9.
Determine the diameter 'd'of the beam at the fillet
A cantilever beam made of cold
The force P acting
cross-section.
-150
-100
- 50 N
P=
+150 N
0.2 d
1.5 d
44
A steel cantilever beam, as shown in Fig. 6.21, is subjected to a transverse load at its end that varies
from 45 N up to 135 N down as the axial load varies from 110 N (compression) to 450 N (tension).
Determine the required diameter at the change of section for infinite life using a factor of safety of 2.
The strength properties are as follows:
Ultimate strength
- 550 MPa
Yield strength
470 MPa
Endurance limit
275 MPa
45 N
125 mm
110 N 450 N
2d
d
0.2d
180 mm
135 N
The stress concentrati on factors for bending and axial loads are 1.44 and 1.63 respectively, at the
change of cross-section. Take size factor = 0.85 and surface finish factor = 0.9.
[Ans. 12.5 mm]
Transcribed Image Text:60 O = '80 Tym = 70 tyy = 35 43 Example drawn steel 40C8 (S, = 600 N/mm² and S, = 380 N/mm?) is shown in Fig. at the free end varies from -50 N to +150 N. The expected reliability is 90% and the factor of safety is 2. The notch sensitivity factor at the fillet is 0.9. Determine the diameter 'd'of the beam at the fillet A cantilever beam made of cold The force P acting cross-section. -150 -100 - 50 N P= +150 N 0.2 d 1.5 d 44 A steel cantilever beam, as shown in Fig. 6.21, is subjected to a transverse load at its end that varies from 45 N up to 135 N down as the axial load varies from 110 N (compression) to 450 N (tension). Determine the required diameter at the change of section for infinite life using a factor of safety of 2. The strength properties are as follows: Ultimate strength - 550 MPa Yield strength 470 MPa Endurance limit 275 MPa 45 N 125 mm 110 N 450 N 2d d 0.2d 180 mm 135 N The stress concentrati on factors for bending and axial loads are 1.44 and 1.63 respectively, at the change of cross-section. Take size factor = 0.85 and surface finish factor = 0.9. [Ans. 12.5 mm]
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