Problem 10. The A-36 steel plate has a thickness of 12 mm. If there are shoulder fillets at B and C, and allow = 150 MPa, determine the maximum axial load P that it can support. The maximum stress at the fillets can be determined from the formula Omax = K Gave, where K is the stress concentration factor for fillets given in Graphs in Section 4.7 of Hibbeler textbook, and based on the fillet radius to small width and large width to small width ratios. Also compute its elongation neglecting the effects of the fillets. 60 mm P

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Chapter11: Columns
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Problem 10. The A-36 steel plate has a thickness of 12
mm. If there are shoulder fillets at B and C, and
O allow
= 150 MPa, determine the maximum axial load P
that it can support. The maximum stress at the fillets
can be determined from the formula Omax = K Gave,
where K is the stress concentration factor for fillets
given in Graphs in Section 4.7 of Hibbeler textbook, and
based on the fillet radius to small width and large width
to small width ratios. Also compute its elongation
neglecting the effects of the fillets.
60 mm
P
A
B
r = 30 mm
200 mm
120 mm
800 mm
r = 30 mm
200 mm
60 mm
P
Transcribed Image Text:Problem 10. The A-36 steel plate has a thickness of 12 mm. If there are shoulder fillets at B and C, and O allow = 150 MPa, determine the maximum axial load P that it can support. The maximum stress at the fillets can be determined from the formula Omax = K Gave, where K is the stress concentration factor for fillets given in Graphs in Section 4.7 of Hibbeler textbook, and based on the fillet radius to small width and large width to small width ratios. Also compute its elongation neglecting the effects of the fillets. 60 mm P A B r = 30 mm 200 mm 120 mm 800 mm r = 30 mm 200 mm 60 mm P
K
3.0
2.8
2.6
2.4
2.2
2.0
1.8
1.6
1.4
1.2
1.0
0
0.1 0.2 0.3
W
h
W
h
NA wh
= 4.0.
= 3.0
O avg
W
h
W
h
0.4 0.5 0.6
r
h
=
=
N
ht
2.0
= 1.5.
0.7
TAL
3635
W
h
W
h
=
N
1.2-
1.1
0.8 0.9 1.0
K
3.2
3.0
2.8
2.6
2.4
2.2
2.0
0
0.1
N
0.2
2r
W
O avg
0.3
2r
N
(w - 2r)t
0.4
N
0.5
Transcribed Image Text:K 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 1.0 0 0.1 0.2 0.3 W h W h NA wh = 4.0. = 3.0 O avg W h W h 0.4 0.5 0.6 r h = = N ht 2.0 = 1.5. 0.7 TAL 3635 W h W h = N 1.2- 1.1 0.8 0.9 1.0 K 3.2 3.0 2.8 2.6 2.4 2.2 2.0 0 0.1 N 0.2 2r W O avg 0.3 2r N (w - 2r)t 0.4 N 0.5
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