A force of 18,500 lbs is applied to a 3/8 in. x 3/4 in. A572 high-strength steel bar having a grade of 50. (refer to AISC Table 2-5, next page) Determine a. whether the bar will plastically deform and b. whether the bar will experience necking.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A force of 18,500 lbs is applied to a 3/8 in. x 3/4 in. A572 high-strength steel
bar having a grade of 50. (refer to AISC Table 2-5, next page)
Determine
a. whether the bar will plastically deform and
b. whether the bar will experience necking.

PROBLEM No. 1
STRESS - STRAIN
Table 2-5
AISC Steel Construction Manual
Applicable ASTM Specifications
for Plates and Bars
Plates and Bars, in.
Fy
Yield Tensile to 0.75 to 1.25 1.5 2 to
Stress Stress" 0.75 1.25 to 1.5 to 2
(ksi)
Fu
over over over over over
2.5
over over over
4 to 5 5 to 6 6 to 8 over
Steel
ASTM
2.5
to 4
Type Designation
Туре
(ksi)
incl. incl. incl. incl. incl. incl. incl. incl. incl.
8.
32
58-80
A36
36
58-80
Gr. C
30
55-75
A283
Carbon
Gr. D
33
60-80
Gr. 50
50
65-100
A529
Gr. 55
Gr. 36
55
70-100
A709
36
58-80
Gr. 42
42
60
Gr. 50
50
65
Gr. 55
Gr. 60
Gr. 65
Gr. 50
A572
55
70
60
75
65
80
High-
Strength
Low-
A709
50
65
Gr. 36
36-52
58
A1043
Gr. 50
Alloy
50-65
65
Transcribed Image Text:PROBLEM No. 1 STRESS - STRAIN Table 2-5 AISC Steel Construction Manual Applicable ASTM Specifications for Plates and Bars Plates and Bars, in. Fy Yield Tensile to 0.75 to 1.25 1.5 2 to Stress Stress" 0.75 1.25 to 1.5 to 2 (ksi) Fu over over over over over 2.5 over over over 4 to 5 5 to 6 6 to 8 over Steel ASTM 2.5 to 4 Type Designation Туре (ksi) incl. incl. incl. incl. incl. incl. incl. incl. incl. 8. 32 58-80 A36 36 58-80 Gr. C 30 55-75 A283 Carbon Gr. D 33 60-80 Gr. 50 50 65-100 A529 Gr. 55 Gr. 36 55 70-100 A709 36 58-80 Gr. 42 42 60 Gr. 50 50 65 Gr. 55 Gr. 60 Gr. 65 Gr. 50 A572 55 70 60 75 65 80 High- Strength Low- A709 50 65 Gr. 36 36-52 58 A1043 Gr. 50 Alloy 50-65 65
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