105
Prob. 10.1
A = 0.7854(0.5625)2 = 0.2485 in.2
6500
P
—————————————————————
Prob. 10.2
A = 0.7854(150)2 = 17.67×103 mm2
—————————————————————
Prob. 10.3
Pt. Stress (psi) Strain
1 10,000 0.000343
Point 1:
psi 000,200,29
000343.0
000,10
E
Point 2:
—————————————————————
Prob. 10.4
A = 0.7854(0.505)2 = 0.2003 in.2
Data
Load (k) (in.) (k/in.2) = /2
0 0 0 0
Data (cont.)
Load (k) (in.) (k/in.2) = /2
8.0 0.0025 39.9 0.00125
14.0 0.3600 69.9 0.180
12.9 0.4000 64.4 0.200
10.8 0.4200 53.9 0.210
Ultimate strength: 69.9 ksi
Rupture strength: 53.9 ksi
% reduction in area:
% 2.38)100(
2003.0
)397.0(7854.02003.0
2
—————————————————————
Prob. 10.5
Based on stress:
t = P/A, A = 0.7854d2
22 in. 509.0
)7854.0(60
24
dReq’ d
106
10-2
Prob. 10.5 (cont.)
Based on :
—————————————————————
Prob. 10.6
P = load to each rod = 75(250) = 18,750 lb
—————————————————————
Prob. 10.7
Stress:
Elongation
—————————————————————
Prob. 10.8
(a)
(b)
—————————————————–———-
Prob. 10.9
Gray C.I. ult = 80 ksi
—————————————————–———-
F.S.=827/210 = 3.94
—————————————————————
Prob. 10.12
A = 1.2 in.2, t(all) = 22,000 psi,
Fy = 36,000 psi, F.S. = 1.85
(more)
107
10-3
Prob. 10.13 (cont.)
(a) Elastic:
(b) Ultimate Strength: (All rods stressed to Fy.
1.85P=3FyA
————————————————————
Prob. 10.16
% Elongation:
————————————————————
Prob. 10.17
P = 320 N, L = 4 m
————————————————————
Prob. 10.19
A=1/2(2) = 1 in.2, P=16,000 lb
————————————————————
Prob. 10.20
Expected Stress:
53.8 MPa < 200 MPa O.K.
————————————————————
Prob. 10.21 = 60.7 50 = 10.7 mm
————————————————————
Prob. 10.22
A = 0.7854(0.505)2 = 0.2003 in.2
————————————————————
108
10-4
Prob. 10.24 Each Plate: 225mm x 32 mm
Area per plate: A = 225(32) = 7200 mm2
————————————————————
Prob. 10.25
————————————————————
Prob. 10.26 P = 15,000 lb, p(all) = 300 psi
Contact area = 9.5x
Reqd x = 5.26 in. (Use 6 in. bearing length)
————————————————————
Prob.10.27 P = 67.5 kN, L = 3 m
(a) Steel: Fy = 310 MPa
Prob. 10.28
P = 60,000 lb, p(all) = 300 psi
Reqd contact area A = 60,000/300 = 200 in2
Di = 4 + 2(1/32) = 4.0625 in.
Prob 10.29 P = 200,000 lb, ult = 95,000 psi
a) F.S. = 5.0:
b) max = 0.10 in.
= 138.8(580) + 185(700) = 210 kN
b) Both bars will be stressed to 275 MPa:
————————————————————
Prob. 10.31
a) Load to each rod:
Elongation of each Rod:
109