CALCS PROC016
METRIC BOLTS, COMBINED LOADING

NOTATION

Amnrarea of minor diameter
Anomarea of nominal diameter
Dmnrminor diameter of external thread (all)
Dnomnominal diameter of thread (all)
FlrLR allowable stress (8.8 256; 10.9 360; 12.9 432)
Fprepre-tension stress
Lslength thread shear (DNV)
Nmpmat_plate (EC3)
Nmsmat_no. bolt/screw thread (all)
pitchthread pitch (all)
PlrLR allowable tension force (LR)
Psbshear force at bearing limit
Psmushear force at friction limit
Psbmushear force at bearing & friction combined limit
Ptpreforce at pre-tension stress
Ptuforce at UTS
Ptyforce at Fy
Px Pyaxial & shear forces applied to screw/bolt (all)
t
t_pplate thickness?

APPLICATION

ISO Metric Bolts

OUTPUT

Tension, shear & friction grip allowable forces

SEE ALSO

other porcs & progs

THEORY

ISO724, EC3 & LR LAME

GUIDANCE

Select screw nominal size & thread pitch from table below

INPUT FORMAT

section$=" Gen EC3 DNV LR_LAME "
LET Nms=:Dnom=:pitch=:REM Gen
LET mu=.36:Px=:Py=:REM Gen
LET alpha_v=.6:gama_M2=1.3:d_m=:d_o=:e1=:e2=:K1=0:K2=.9:p1=0:p2=0:t=:t_p=:REM EC3
LET Nmp=:s_dnom=1:s_dmnr=2:d_s=s_dnom:REM EC3
LET Ls=:REM DNV

EXAMPLE

Call Statement

section$=" Gen EC3 DNV LR_LAME "
LET Nms=2:Dnom=12:pitch=1.75:REM Gen
LET mu=.36:Px=1000:Py=1000:REM Gen
LET alpha_v=.6:gama_M2=1.3:d_m=19:d_o=14:e1=30:e2=42:K1=0:K2=.9:p1=0:p2=0:t=6:t_p=6:REM EC3
LET Nmp=1:s_dnom=1:s_dmnr=2:d_s=s_dnom:REM EC3
LET Ls=30:REM DNV

Output

PROC016 ISO BOLTS COMB.LOADING 140805
General Requirements
P016 Gen Screw Strength
Dmnr= Dnom-5*SQR(3)*pitch/8= 10.11
A_mnr= PI*Dmnr^2/4= 80.21
A_nom= PI*Dnom^2/4= 113.1
Ftu= Ftu(Nms)= 8
Fy= Fy(Nms)= 6.4
Fpre= .8*Fy= 5.12
Ptu= Ftu*A_mnr= 641.7
Pty= Fy*A_mnr= 513.3
Ptpre= Fpre*A_mnr= 410.7
Psb= (1/SQR(3))*Fy*A_nom*(3/4)= 313.4
Psmu= mu*Ptpre= 147.8
Psbmu= Psb+Psmu= 461.3
General Design Acceptance
UF_001= Px/Ptpre= 2.4352.435
UF_002= Py/Psb= 3.1913.191
UF_003= Py/Psbmu= 2.1682.168
P016 LR_LAME Tension
LR Bolt Strength Requirements,
Plr= .4*Fy*A_mnr= 205.3
UF_004= Px/Plr= 4.874.87
P016 EC3
EC3:BS EN 1993-1-8:2005 Table 3.4
LET f_u=Ftu(Nmp):f_ub=Ftu(Nms):F_vED=Py:F_tED=Px
Shear Resistance
A= A_nom= 113.1
F_vRd= alpha_v*f_ub*A/gama_M2= 417.6
Tension Resistance
A_s= A_mnr= 80.21
F_tRd= K2*f_ub*A_s/gama_M2= 444.2
Bearing Resistance
d= Dnom= 12
alpha_d= e1/(3*d_o)= 0.7143
K1= 2.8*e2/d_o-1.7= 6.7
K1= 1.4*p2/d_o-1.7= -1.7
alpha_b= 1= 1
alpha_b= alpha_d= 0.7143
F_bRd= K1*alpha_b*f_u*d*t/gama_M2= -336.3
Punching Shear Resistance
B_pRd= .6*PI*d_m*t_p*f_u/gama_M2= 826.5
EC3 Design Acceptance
UF_005= F_vED/F_vRd= 2.3952.395
UF_006= F_tED/F_tRd= 2.2512.251
UF_007= F_vED/F_bRd= -2.974-2.974
UF_008= F_tED/B_pRd= 1.211.21
UF_009= F_vED/F_vRd+F_tED/(1.4*F_tRd)= 4.0034.003

ISO METRIC SCREW THREADS - EXTENDED SIZE RANGE from MDMetric.com

DnomPitch
CFFFFFF
0.250.08
0.30.08
0.30.09
0.350.09
0.40.1
0.450.1
0.50.13
0.550.13
0.60.15
0.70.18
0.80.2
0.90.23
10.250.2
1.10.250.2
1.20.250.2
1.40.30.2
1.60.350.30.2
1.70.35
1.80.350.2
20.40.25
2.20.45
2.20.25
2.30.450.4
2.50.450.35
2.60.45
30.50.35
3.50.60.35
40.70.5
4.50.750.5
50.80.5
5.50.5
610.80.750.70.5
710.750.5
81.2510.80.750.5
91.2510.750.5
101.51.251.1210.750.5
111.510.750.5
121.751.2510.750.5
1421.51.2510.750.5
151.51
1621.61.51.2510.750.5
171.51
182.521.51.2510.750.5
202.521.510.750.5
2232.521.510.750.5
2432.521.510.75
2521.51
261.5
27321.510.75
2821.51
303.532.521.510.75
3221.5
333.5321.510.75
351.5
364321.51
381.5
394321.51
4032.521.5
424.54321.51
454.54321.51
4854321.5
504321.5
5254321.5
554321.5
565.54321.51
584321.5
605.54321.51
624321.5
631.5
6465.54321.51
654321.5
6864321.51
7064321.5
7264321.51
7564321.5
7664321.51
782
8064321.51
822
8564321.5
9064321.5
9564321.5
10064321.5
10564321.5
11064321.5
11564321.5
12064321.5
125864321.5
130864321.5
13564321.5
140864321.5
14564321.5
150864321.5
1556432
16086432
1656432
17086432
175643
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1856432
19086432
1956432
20086432
2056432
21086432
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2306432
235643
24086432
2456432
25086432
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265643
270643
275643
2808643
285643
290643
295643
3008643
END016