Chapter 15 : Welded, Bolted, and Riveted Connections

Example 15.1 Page No : 393

			
# Variables
sigma = 20000. 			#psi
b = 6. 		        	#in
h = 0.5 		    	#in
p1 = 3750.
			
# Calculations
P = sigma*b*h
L = (P-p1*b)/(2*p1)
			
# Results
print  'L = %.2f in'%(L)

L = 5.00 in

Example 15.2 Page No : 294

from numpy import linalg
			
# Variables
P = 5000. 			#lb per in
Tl = 75. 			#kips
y1 = 2.63 			#in
y2 = 1.37 			#in
			
# Calculations
A = [[P, P],[y1*P, -y2*P]]
b = [Tl*10**3, 0]
c = linalg.solve(A,b)
L1 = c[0]
L2 = c[1]
			
# Results
print  'L1 = %.2f in'%(L1)
print  'L2 = %.2f in'%(L2)

L1 = 5.14 in
L2 = 9.86 in

Example 15.3 Page No : 397

import math 
			
# Variables
d = 3./8 	    		#in
d1 = 1./8 		    	#in
y = 1. 		    	    #in
T = 15000. 			    #psi
sigmab = 32000. 			#psi
sigmat = 18000. 			#psi
			
# Calculations
Ps = math.pi*T*(d/2)**2
Pt = sigmat*d1*(y-d)
Pb = sigmab*d1*d
Pmin =Ps
sigma =T
if(Pt<Pmin):
    Pmin =Pt
    sigma =sigmat
else:
    Pmin =Pb
    sigma =sigmab

e = Pmin*100/(sigma*d1*y)
			
# Results
print  'e = %.2f per cent'%(e)

e = 62.50 per cent

Example 15.4 Page No : 398

import math 
			
# Variables
d = 7./8 			#in
Ss = 15000. 			#psi
Sb = 32000. 			#psi
St = 20000. 			#psi
n = 8.
t = 3./8 			#in
l = 10. 			#in
			
# Calculations
Ps = Ss*math.pi*n*(d/2)**2
Pb = Sb*math.pi*n*d*t
Pt1 = St*(l-d*2)*t
Pt2 = 4*St*(l-d*4)*t/3
Pt3 = 4*St*(l-d*2)*t
Pmin = Ps
sigma = Ss
if (Pb<Pmin):
    Pmin =Pb
    sigma =Sb
elif (Pt1<Pmin):
    Pmin =Pt1
    sigma =St
elif (Pt2<Pmin):
    Pmin =Pt2
    sigma =St
elif (Pt3<Pmin):
    Pmin =Pt3
    sigma =St
e = Pmin*100/(sigma*t*l)
			
# Results
print  'e = %.1f per cent'%(e)

e = 82.5 per cent

Example 15.5 Page No : 400

			
# Variables
n = 8.
shear = 15. 			#ksi
Dr = 7/8. 			#in
Ss = 32. 			#ksi
Ds = 40. 			#si
D = 3/8. 			#in
x = 0.504 			#in
pmin=0
			
# Calculations
Ps = shear*n*(Dr/2)**2
Pb = Ds*(n/2)*x*Dr
Pb1 = Ss*n*D*Dr
pmin = Ps
if (Pb<pmin):
    Pmin = Pb
else: 
    Pmin = Pb1    
			
# Results
print  'load capacity of connection = %.1f kips'%(Pb)

load capacity of connection = 70.6 kips

Example 15.6 Page No : 401

import math 
			
# Variables
T = 15000. 			#psi
x1 = 3. 			#in
x2 = 3. 			#in
y1 = 3. 			#in
y2 = 3. 			#in
d = 0.5 			#in
n = 4.
			
# Calculations
P = T*(math.pi/4)*d**2/(math.sqrt((1/n)**2+(1/((math.sqrt(y1**2+y2**2)/y1)*n))**2+ \
(2*(1/n)*(1/(n*(math.sqrt(y1**2+y2**2))/y1))*math.cos(math.radians(45)))))
P1 = T*(math.pi/4)*d**2/((1/n)+(y1/(n*y1)))
if (P>P1):
    print  'Stornger P = %.2f lb'%(P)
else:
    print  'Stornger  P = %.2f lb'%(P1)

# note : answer is different because of rounding off error. please check.

Stornger P = 7450.94 lb

Example 15.7 Page No : 403

import math 
			
# Variables
P = 5. 			#kips
xab = 3. 			#in
xbc = 6. 			#in
xbp = 1. 			#in
y = 6. 			#in
n = 3.
			
# Calculations
Dl = P/3
Pct = (6*P)/(((xab+xbp)*(xab+xbp)/(xbc-xbp))+(xbp/(xbc-xbp))+(xbc-xbp))
R = math.sqrt(Pct**2+Dl**2)
			
# Results
print  'Greatest Load = %.2f kips'%(R)

Greatest Load = 3.94 kips