03/29/2022, 17:24:59 1 de 61 Memoria de Calculo de Orejas de Izaje de Tanques: según DIN 28086 Equipo: Orejas de izaje de trunnion OT2013-2644 Oreja DIN 28086 - 3 - 17100 - 17100 Tamaño Oreja 2 Tabla 1: de 1 a 5 Figura 4 Figura Seleccionada de 2 a 5 A-36 Material base de orejas A-36 Material base de placa de refuerzo A-36 Material base del tanque F (Kg) 4000 Carga g 1.6 Factor de Seguridad a (°) 45 Angulo de la eslinga hacia la vertical b (°) 60 Angulo entre eslinga y el eje vertical de la o R (mm) 3600 Radio exterior del tanque cercano a los puntos Se (mm) 20 Espesor actual de el casco c1 (mm) 1 Reduccion en caso el espesor de casco menor qu c2 (mm) 1 Reduccion por uso Table 0: Seleccon de Materiales Base Material Numero DIN EN ksi A-572 Gr.36 235 10037 St 37-2 10025 33000 265 A-36 275 17100 St 44-2 36000 A-572 Gr.50 295 10050 St 50-2 10025 50000 Tabla 1: Dimensiones de Oreja Tamaño 1 2 3 4 5 b (mm) 90 110 160 200 240 d (mm) 38 38 50 62 74 h (mm) 55 60 75 95 115 l (mm) 170 220 320 390 470 r1 (mm) 55 71 105 130 155 r2 (mm) 20 30 40 50 60 Material L Material V Material B Ku (N/mm2)
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Memoria de Calculo de Orejas de Izaje de Tanques: según DIN 28086
Equipo: Orejas de izaje de trunnion OT2013-2644
Oreja DIN 28086 - 3 - 17100 - 17100Tamaño Oreja 2 Tabla 1: de 1 a 5
Figura 4 Figura Seleccionada de 2 a 5A-36 Material base de orejasA-36 Material base de placa de refuerzoA-36 Material base del tanque
F (Kg) 4000 Carga
g 1.6 Factor de Seguridad
a (°) 45 Angulo de la eslinga hacia la vertical
b (°) 60 Angulo entre eslinga y el eje vertical de la orejaR (mm) 3600 Radio exterior del tanque cercano a los puntos de cargaSe (mm) 20 Espesor actual de el cascoc1 (mm) 1 Reduccion en caso el espesor de casco menor que el disc2 (mm) 1 Reduccion por uso
Table 0: Seleccon de Materiales BaseMaterial Numero DIN EN ksi
A-572 Gr.36 235 10037 St 37-2 10025 33000265
A-36 275 17100 St 44-2 36000A-572 Gr.50 295 10050 St 50-2 10025 50000
s2 (mm) A ser calculado como se especifica en subclase 5.4 Inspector QA/QC FLSmidth
Simbolo Valor Cantidadn 2 Numero de orejas uniformemente cargadas
a1 (mm) #ADDIN? Espesor de garganta entre la oreja y la placa de refuerzoa2 (mm) #ADDIN? Espesor de garganta entre el casco y la placa de refuerzoS1 (mm) 15 Espesor de la orejaS2 (mm) #ADDIN? Espesor de la plancha de refuerzoSo (mm) #ADDIN? Espesor del casco con reducciones (So=Se-C1-C2)
275 Parametro de esfuerzo de placa de refuerzo275 Parametro de esfuerzo de tanque
A 76 Valor intermediof #ADDIN? Factor de correccion de cargaU #ADDIN? Valor intermedioW 1 Factor de incremento de carga
tamaño de oreja 1 2 3 4 5tamaño de grillete 5 5 10 16 25
0 to 15 ° 36000 149000 254000 422000 642000Over 15 ° up to 30 ° 33000 133000 227000 379000 576000Over 30 ° up to 45 ° 27000 108000 185000 310000 470000Over 45 up to 60 ° 19000 77000 131000 218000 332000
0 to 15 ° 55000 223000 380000 633000 962000Over 15 ° up to 30 ° 50000 199000 341000 567000 863000Over 30 up to 45 ° 40000 163000 278000 464000 704000Over 45 up to 60 ° 29000 115000 197000 328000 499000
cf. Figura Cant.Orejas Orden de las orejas2 1 Oreja Simple (cf. figura 2)3 2 Dos orejas con las cabezas cruzadas (cf. figura 3)
Tabla 2: Cantidades, simbolos y unidades
KVu (N/mm2)KBu (N/mm2)
Tabla 3: Maxima carga de trabajo segura de grilletes, F, de acuerdo con DIN 82016 o DIN 82101
FS, en NTabla 4: Maxima carga segura de trabajo, FG para diferentes orden de las orejas
Angulo a Maxima carga segura de trabajo, en N, a 20°C con KL=240N/mm2
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4 2 Dos orejas sin cabezas cruzadas (cf. figura 4)5 3 Tres orejas (cf. figura 5)
1 Calculos2 5.2 Maxima carga de trabajo segura de grilletes3 (1) FSe = FLe = N 282844 FGe Carga efectiva N 400005 Tamaño de grillete 56 FS Maxima carga segura de trabajo N 500007 (2) FSe<= FS table 3 Cumple
8 5.3 Maxima carga de trabajo segura de orejas9
10 (4) FLe= FSe11 N 7700012 (5) FGe<= Cumple13 5.4 Espesor de plancha de refuerzo y espesores de garganta de soldaduras14 Tabla 5: Factor de incremento de carga15 b <=60° >60°16 W 1 217 W 118 (6) S2= mm 6.419 Se<= S2<=1.5*Se mm #ADDIN?20 Espesor de garganta de soldadura a121 S1 mm 15.022 S2 mm #ADDIN?23 (7) a1 >= 0.7*S1min mm #ADDIN?24 a1 mm #ADDIN?25 Espesor de garganta de soldadura a226 (8) a2 >= 0.7*S2min mm #ADDIN?27 a2 mm #ADDIN?28 5.5 Capacidad de carga del tanque29 Tabla 6: Valor Intermedio A30 Tamano de oreja 1 2 3 4 531 A 59 76 113 139 16732 A 7633 (9) U= A/((R*So)^(1/2)) #ADDIN?
FGe/(n*cosa)
(3) FGu= FG*KLu/240
FGuFGu tabla 4
0.5*(FLe*W*g/KVu)^(1/2)
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34 f #ADDIN?35 (10) FB= N #ADDIN?36 (11) FLe<= FB/W #ADDIN?
Memoria de Calculo de Oreja de Izaje: según ASME BTH-1
Equipo: Atril de Armado de contraejes Fuller6,000 Carga (Kg)
3.6 Nd (2-2.1 o 2-2.2)2 Numero de orejas
A36 Material (A36 o A572)50 Dh [mm] Diametro de agujero50 be [mm] Ancho de oreja20 t [mm] Espesor de oreja75 R [mm] Radio exterior8 Soldadura Filete [in] Altura de pierna
E71T-1 E7018/E71T-1 Material de aporteY Y(si) o N(no) Terminacion redondeada
40 Dp [mm] Diametro de grillete50 a [mm] Altura de oreja
115 H [mm] Material base a eje
Cumple Esfuerzo de TraccionCumple Resistencia al corte a través del agujeroCumple Esfuerzo cortante en SoldaduraCumple Garganta de Filete mínima 3-3.4.3
Nd factor de Diseño (para. 3-1.3)
2-2.1 Categoría de Diseño A: cuando la magnitud y la variación de las cargas aplicadas son predecibles, donde la carga y condiciones ambientales se definen con precisión o no grave.
2-2.2
Elaborado por: Luis Enrique Aguilar Montoya
2.00 para los estados límite de fluencia o pandeo,
2.40 para los estados límite de fractura y para el diseño de conexión.
Categoría de Diseño B: cuando la magnitud y la variación de las cargas aplicadas no son predecibles, las condiciones de carga y del medio ambiente son graves, o no se define con precisión.
3.00 para los estados límite de fluencia o pandeo,
3.60 para los estados límite de fractura y para el diseño de conexión.
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Inspector QA/QC FLSmidth1 Oreja con conexión para grillete: ASME BTH-12 Descripcion: Atril de Armado de contraejes Fuller3 13,228 W [lb] Peso de la carga4 3.6 Nd Design factor5 Material:6 A36 Material Material A36 A572 A516 E7018/E71T-1
7 36,000 Fy [psi] Limite elastico Fy [psi] 36,000 50,000 16,000 58,0008 58,000 Fu [psi] Resistencia a la traccion Fu [psi] 58,000 65,000 30,000 70,0009 29,000,000 E [psi] Modulo de Elesticidad E [psi] 29,000,000 29,000,000 9,800,000
10 Dimensiones:11 1.97 Dh [in] Diametro de agujero12 5.91 w [in] Ancho de oreja13 0.79 t [in] Espesor de oreja14 2.95 R [in] Radio Exterior de oreja15 0.31 Leg [in] Altura de filete de soldadura16 Esfuerzo de Traccion:17 Ft [psi] = Fy/Nd Esfuerzo de traccion admisible (eq 3-1) psi 10,00018 A [in^2] = t*(w-Dh) Area en tension in^2 3.1019 St [psi] = W/A Esfuerzo de traccion psi 4,26720 CheckSt = St < Ft Cumple21 Resistencia al Corte a travez del agujero:22 Av [in^2] = 2*(R-(Dh/2)*cos(radians(45)))*t 23 Area total de dos planos de corte (eq 3-50) in^2 3.55424 Pv [lb] = 0.7*Fu/(1.2*Nd)*Av Doble plano de resistencia al corte (eq 3-49)25 lb 33,40126 CheckPv = W < Pv Cumple27 Esfuerzo Cortante en la Soldadura:28 Exx [psi] = Fu si Fu<Exx Resistencia a la tracción de la soldadura del metal de aporte psi 58,00029 Fv [psi] = 0.6*Exx/(1.2*Nd) Esfuerzo cortante de soldadura admisible(eq 3-53) psi 8,05630 Aw [in^2] = (2*w+2*t) * (0.707*Leg) Área de la soldadura in^2 2.98131 Fw [lb] = Fv*Aw Carga de soldadura admisible lb 24,01132 CheckFw = W < Fw Cumple33 Garganta de Soldadura minima: 3-3.4.334 garganta_3-3 [in] = IF(K14<=0.25,0.125,IF(K14<=0.5,0.188,(IF(K14<=0.75,0.25,(IF(K14<1.5,0.313))))))
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35 in 0.18836 check_garganta = Pierna filete*0.707 >=garganta_3-3 Cumple
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Memoria de Calculo de Oreja de Izaje: según ASME BTH-1
Equipo: Atril de Armado de contraejes Fuller5,000 Carga (Kg)
3.6 Nd (2-2.1 o 2-2.2)4 Numero de orejas
A36 Material (A36 o A572)55 Dh [mm] Diametro de agujero50 be [mm] Ancho de oreja20 t [mm] Espesor de oreja77 R [mm] Radio exterior6 Soldadura Filete [in] Altura de pierna
E71T-1 E7018/E71T-1 Material de aporteY Y(si) o N(no) Terminacion redondeada
40 Dp [mm] Diametro de grillete50 a [mm] Altura de oreja
115 H [mm] Material base a eje
Cumple Esfuerzo de TraccionCumple Resistencia al corte a través del agujeroCumple Esfuerzo cortante en SoldaduraCumple Garganta de Filete mínima 3-3.4.3
Nd factor de Diseño (para. 3-1.3)
2-2.1 Categoría de Diseño A: cuando la magnitud y la variación de las cargas aplicadas son predecibles, donde la carga y condiciones ambientales se definen con precisión o no grave.
2-2.2
Elaborado por: Luis Enrique Aguilar Montoya
2.00 para los estados límite de fluencia o pandeo,
2.40 para los estados límite de fractura y para el diseño de conexión.
Categoría de Diseño B: cuando la magnitud y la variación de las cargas aplicadas no son predecibles, las condiciones de carga y del medio ambiente son graves, o no se define con precisión.
3.00 para los estados límite de fluencia o pandeo,
3.60 para los estados límite de fractura y para el diseño de conexión.
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Inspector QA/QC FLSmidth1 Oreja con conexión para grillete: ASME BTH-12 Descripcion: Atril de Armado de contraejes Fuller3 11,023 W [lb] Peso de la carga4 3.6 Nd Design factor5 Material:6 A36 Material Material A36 A572 A516 E7018/E71T-1
7 36,000 Fy [psi] Limite elastico Fy [psi] 36,000 50,000 16,000 58,0008 58,000 Fu [psi] Resistencia a la traccion Fu [psi] 58,000 65,000 30,000 70,0009 29,000,000 E [psi] Modulo de Elesticidad E [psi] 29,000,000 29,000,000 9,800,000
10 Dimensiones:11 2.17 Dh [in] Diametro de agujero12 6.10 w [in] Ancho de oreja13 0.79 t [in] Espesor de oreja14 3.03 R [in] Radio Exterior de oreja15 0.24 Leg [in] Altura de filete de soldadura16 Esfuerzo de Traccion:17 Ft [psi] = Fy/Nd Esfuerzo de traccion admisible (eq 3-1) psi 10,00018 A [in^2] = t*(w-Dh) Area en tension in^2 3.1019 St [psi] = W/A Esfuerzo de traccion psi 3,55620 CheckSt = St < Ft Cumple21 Resistencia al Corte a travez del agujero:22 Av [in^2] = 2*(R-(Dh/2)*cos(radians(45)))*t 23 Area total de dos planos de corte (eq 3-50) in^2 3.56824 Pv [lb] = 0.7*Fu/(1.2*Nd)*Av Doble plano de resistencia al corte (eq 3-49)25 lb 33,53626 CheckPv = W < Pv Cumple27 Esfuerzo Cortante en la Soldadura:28 Exx [psi] = Fu si Fu<Exx Resistencia a la tracción de la soldadura del metal de aporte psi 58,00029 Fv [psi] = 0.6*Exx/(1.2*Nd) Esfuerzo cortante de soldadura admisible(eq 3-53) psi 8,05630 Aw [in^2] = (2*w+2*t) * (0.707*Leg) Área de la soldadura in^2 2.30131 Fw [lb] = Fv*Aw Carga de soldadura admisible lb 18,53832 CheckFw = W < Fw Cumple33 Garganta de Soldadura minima: 3-3.4.334 garganta_3-3 [in] = IF(K14<=0.25,0.125,IF(K14<=0.5,0.188,(IF(K14<=0.75,0.25,(IF(K14<1.5,0.313))))))
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35 in 0.12536 check_garganta = Pierna filete*0.707 >=garganta_3-3 Cumple
Sample CalculationThickness of Lug (t) = 20 mmWidth of Lug (W) = 200 mmRadius of Circular Section (R) = 100 mm
= 60 mm
= 57 mmDistance from centre of hole to Welding (h)= 100 mm
Area of Cross Section = 20 x 200 = 4000Length of Crack ( a ) = 4.5 mm
Temperature (T) = 15
= (60 + 0.2 T) Mpa. Sqrt(m)For -140 < T < 150
= 63
Check For Geometry
= 100 - 60/ 2 = 70 mm
= 100 - 60/ 2 = 70 mm
= 100 - 60/ 2 = 70 mm
By Yeild TheoryYeild Strength of Plate = 345 MPaEffective width of plate = 200 - 60- 2 x4.5 = 131Tensile Load capacity = 0.9 x 345 x 131 x 20/1000 =
By Fracture Theory
=
=
Where, d =d = 4.5 / (60/ 2 + 4.5) = 0.13
= 0.5 x (3 -0.13) [ 1 + 1.243 x (1 -0.13)^3 ]= 2.61
s = Load (P) = P / 4000 = 0.0003Area
=63 = 2.61 x 0.00025P x sqrt(3.1416 x 0.0045)
1 Lifting Lug Load Capacity Vs Crack length Calculation
Diameter of Hole ( Dh)
Diameter of Pin ( Dp)
Distance from centre of hole to edge of crack = (Dh / 2 + a) =oC
601 138 857 345 Net Section will Yeild before Fracture
510 137 851 345 Net Section will Yeild before Fracture
458 136 845 345 Net Section will Yeild before Fracture
424 135 838 345 Net Section will Yeild before Fracture
401 134 832 345 Net Section will Yeild before Fracture
383 133 826 345 Net Section will Yeild before Fracture
371 132 820 345 Net Section will Yeild before Fracture
354 130 807 345 Net Section will Yeild before Fracture
344 128.4 797 345 Net Section will Fracture
336 126 782 345 Net Section will Fracture332 124 770 345 Net Section will Fracture330 122 758 345 Net Section will Fracture329 120 745 345 Net Section will Fracture
Fracture Theory
573 138 857 345 Net Section will Yeild before Fracture
487 137 851 345 Net Section will Yeild before Fracture
437 136 845 345 Net Section will Yeild before Fracture
405 135 838 345 Net Section will Yeild before Fracture
383 134 832 345 Net Section will Yeild before Fracture
366 133 826 345 Net Section will Yeild before Fracture
354 132 820 345 Net Section will Yeild before Fracture
344 131 814 345 Net Section will Fracture
327 128 795 345 Net Section will Fracture
321 126 782 345 Net Section will Fracture
317 124 770 345 Net Section will Fracture
315 122 758 345 Net Section will Fracture
314 120 745 345 Net Section will Fracture
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN) for 30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN) for 15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
Fracture Theory
546 138 857 345 Net Section will Yeild before Fracture
463 137 851 345 Net Section will Yeild before Fracture
416 136 845 345 Net Section will Yeild before Fracture
386 135 838 345 Net Section will Yeild before Fracture
364 134 832 345 Net Section will Yeild before Fracture
349 133 826 345 Net Section will Yeild before Fracture
344 132.6 823 345 Net Section will Fracture
321 130 807 345 Net Section will Fracture
312 128 795 345 Net Section will Fracture
305 126 782 345 Net Section will Fracture
302 124 770 345 Net Section will Fracture
300 122 758 345 Net Section will Fracture
299 120 745 345 Net Section will Fracture
Fracture Theory
519 138 857 345 Net Section will Yeild before Fracture
440 137 851 345 Net Section will Yeild before Fracture
396 136 845 345 Net Section will Yeild before Fracture
366 135 838 345 Net Section will Yeild before Fracture
346 134 832 345 Net Section will Yeild before Fracture
343 133.8 831 345 Net Section will Fracture
321 132 820 345 Net Section will Fracture
305 130 807 345 Net Section will Fracture
296 128 795 345 Net Section will Fracture
290 126 782 345 Net Section will Fracture
287 124 770 345 Net Section will Fracture
285 122 758 345 Net Section will Fracture
284 120 745 345 Net Section will Fracture
Fracture Theory
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN) for 0 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
491 138 857 345 Net Section will Yeild before Fracture
417 137 851 345 Net Section will Yeild before Fracture
375 136 845 345 Net Section will Yeild before Fracture
347 135 838 345 Net Section will Yeild before Fracture
343 134.8 837 345 Net Section will Fracture
314 133 826 345 Net Section will Fracture
304 132 820 345 Net Section will Fracture
289 130 807 345 Net Section will Fracture
281 128 795 345 Net Section will Fracture
275 126 782 345 Net Section will Fracture
272 124 770 345 Net Section will Fracture
270 122 758 345 Net Section will Fracture
269 120 745 345 Net Section will Fracture
Fracture Theory
464 138 857 345 Net Section will Yeild before Fracture
394 137 851 345 Net Section will Yeild before Fracture
354 136 845 345 Net Section will Yeild before Fracture
345 135.7 843 345 Net Section will Fracture
310 134 832 345 Net Section will Fracture
296 133 826 345 Net Section will Fracture
287 132 820 345 Net Section will Fracture
273 130 807 345 Net Section will Fracture
265 128 795 345 Net Section will Fracture
260 126 782 345 Net Section will Fracture
257 124 770 345 Net Section will Fracture
255 122 758 345 Net Section will Fracture
254 120 745 345 Net Section will Fracture
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -45 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN) for 30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN) for 15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN) for 0 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400Crack Length (a) VS Lug Capacity (kN) for -45 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm) Lo
ad (k
N)
Sample CalculationThickness of Lug (t) = 20 mmWidth of Lug (W) = 200 mmRadius of Circular Section (R) = 100 mm
= 60 mm
= 57 mmDistance from centre of hole to Welding (h)= 100 mm
Area of Cross Section = 20 x 200 = 4000Length of Crack ( a ) = 4.5 mm
Temperature (T) = 15
= (40 + 0.2 T) Mpa. Sqrt(m)For -140 < T < 150
= 43
Check For Geometry
= 100 - 60/ 2 = 70 mm
= 100 - 60/ 2 = 70 mm
= 100 - 60/ 2 = 70 mm
By Yeild TheoryYeild Strength of Plate = 345 MPaEffective width of plate = 200 - 60- 2 x4.5 = 131Tensile Load capacity = 0.9 x 345 x 131 x 20/1000 =
By Fracture Theory
=
=
Where, d =d = 4.5 / (60/ 2 + 4.5) = 0.13
= 0.5 x (3 -0.13) [ 1 + 1.243 x (1 -0.13)^3 ]= 2.61
s = Load (P) = P / 4000 = 0.0003Area
=43 = 2.61 x 0.00025P x sqrt(3.1416 x 0.0045)
1 Lifting Lug Load Capacity Vs Crack length Calculation
Diameter of Hole ( Dh)
Diameter of Pin ( Dp)
Distance from centre of hole to edge of crack = (Dh / 2 + a) =oC
419 138 857 345 Net Section will Yeild before Fracture
355 137 851 345 Net Section will Yeild before Fracture
319 136 845 345 Net Section will Fracture
296 135 838 345 Net Section will Fracture
279 134 832 345 Net Section will Fracture
267 133 826 345 Net Section will Fracture
259 132 820 345 Net Section will Fracture
246 130 807 345 Net Section will Fracture
240 128.4 797 345 Net Section will Fracture
234 126 782 345 Net Section will Fracture232 124 770 345 Net Section will Fracture230 122 758 345 Net Section will Fracture229 120 745 345 Net Section will Fracture
Fracture Theory
391 138 857 345 Net Section will Yeild before Fracture
332 137 851 345 Net Section will Fracture
298 136 845 345 Net Section will Fracture
276 135 838 345 Net Section will Fracture
261 134 832 345 Net Section will Fracture
250 133 826 345 Net Section will Fracture
242 132 820 345 Net Section will Fracture
235 131 814 345 Net Section will Fracture
223 128 795 345 Net Section will Fracture
219 126 782 345 Net Section will Fracture
216 124 770 345 Net Section will Fracture
215 122 758 345 Net Section will Fracture
214 120 745 345 Net Section will Fracture
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN) for 30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN) for 15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
Fracture Theory
364 138 857 345 Net Section will Yeild before Fracture
309 137 851 345 Net Section will Fracture
278 136 845 345 Net Section will Fracture
257 135 838 345 Net Section will Fracture
243 134 832 345 Net Section will Fracture
232 133 826 345 Net Section will Fracture
229 132.6 823 345 Net Section will Fracture
214 130 807 345 Net Section will Fracture
208 128 795 345 Net Section will Fracture
204 126 782 345 Net Section will Fracture
201 124 770 345 Net Section will Fracture
200 122 758 345 Net Section will Fracture
199 120 745 345 Net Section will Fracture
Fracture Theory
337 138 857 345 Net Section will Fracture
286 137 851 345 Net Section will Fracture
257 136 845 345 Net Section will Fracture
238 135 838 345 Net Section will Fracture
225 134 832 345 Net Section will Fracture
223 133.8 831 345 Net Section will Fracture
208 132 820 345 Net Section will Fracture
198 130 807 345 Net Section will Fracture
192 128 795 345 Net Section will Fracture
188 126 782 345 Net Section will Fracture
186 124 770 345 Net Section will Fracture
185 122 758 345 Net Section will Fracture
184 120 745 345 Net Section will Fracture
Fracture Theory
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900
1000Crack Length (a) VS Lug Capacity (kN) for 0 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
309 138 857 345 Net Section will Fracture
263 137 851 345 Net Section will Fracture
236 136 845 345 Net Section will Fracture
219 135 838 345 Net Section will Fracture
216 134.8 837 345 Net Section will Fracture
198 133 826 345 Net Section will Fracture
191 132 820 345 Net Section will Fracture
182 130 807 345 Net Section will Fracture
177 128 795 345 Net Section will Fracture
173 126 782 345 Net Section will Fracture
171 124 770 345 Net Section will Fracture
170 122 758 345 Net Section will Fracture
169 120 745 345 Net Section will Fracture
Fracture Theory
282 138 857 345 Net Section will Fracture
239 137 851 345 Net Section will Fracture
215 136 845 345 Net Section will Fracture
210 135.7 843 345 Net Section will Fracture
188 134 832 345 Net Section will Fracture
180 133 826 345 Net Section will Fracture
174 132 820 345 Net Section will Fracture
166 130 807 345 Net Section will Fracture
161 128 795 345 Net Section will Fracture
158 126 782 345 Net Section will Fracture
156 124 770 345 Net Section will Fracture
155 122 758 345 Net Section will Fracture
155 120 745 345 Net Section will Fracture
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
Yeild Theory
Stress in the Net Section
Effective width of
Plate (mm)
Load (P) (kN) -Yeild
TheoryYeild Stress (s)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -45 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN) for 30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN) for 15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900
1000Crack Length (a) VS Lug Capacity (kN) for 0 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -15 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -30 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
100
200
300
400
500
600
700
800
900Crack Length (a) VS Lug Capacity (kN) for -45 oC
Load (P) (kN) - Fracture Theory
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm)
Load
(kN
)
0 2 4 6 8 10 120
200
400
600
800
1000
1200Crack Length (a) VS Lug Capacity (kN)
Temp = 30 Degree Celcius
Temp = 15 Degree Celcius
Temp = Zero Degree Celcius
Temp = -15 Degree Celcius
Temp = -45 Degree Celcius
Load (P) (kN) -Yeild Theory
a (mm) Lo
ad (k
N)
Tabla 8.4 Especificaciones para pernos métricos de acero.ClaseIntervalo de tamaños (inclusive)(mm)Resistencia límite mínima a la tracciónSp (MPa)Resistencia de fluencia mínima a la tracciónSy (MPa)Resistencia última mínima a la tracción Su (MPa)Característica
4.6 M5-M36 225 240 400 Medio o bajo carbono4.8 M1.6-M16 310 340 420 Medio o bajo carbono5.8 M5-M24 380 420 520 Medio o bajo carbono8.8 M16-M36 600 660 830 Medio o bajo carbono, templado y revenido9.8 M1.6-M16 650 720 900 Medio o bajo carbono, templado y revenido10.9 M5-M36 830 940 1040 Martensítico de bajo carbono, templado y revenido12.9 M1.6-M36 970 1100 1220 De aleación, templado y revenido
Tabla 8.3 Especificaciones SAE para pernos UNS de acero.Grado SAEIntervalo de tamaños (inclusive)(in)Resistencia límite mínima a la tracciónSp (ksi)Resistencia de fluencia mínima a la tracciónSy (ksi)Resistencia
última mínima a la tracciónSu (ksi)Características del acero
1 ¼ a 1½ 33 36 60 Medio o bajo carbono2
¼ a ¾ 55 57 74 Medio o bajo carbono 7/8 a 1½ 33 36 604 ¼ a 1½ 65 100 115 Medio carbono estirado en frío
5¼ a 1 85 92 120 Medio carbono templado y 1 1/8 a 1½ 74 81 105 revenido5.2 ¼ a 1 85 92 120 Martensítico de bajo carbono, templado y revenido7 ¼ a 1½ 105 115 133 Aleado de medio carbono, templado y revenido8 ¼ a 1½ 120 130 150 Aleado de medio carbono, templado y revenido8.2 ¼ a 1 120 130 150 Martensítico de bajo carbono, templado y revenido
Tabla 8.2 Dimensiones de roscas métricas ISO, series de pasos bastos y finosDiámetro mayor (nominal)d (mm)ROSCA BASTA ROSCA FINAPaso p (mm)Diámetro menordr (mm)Área de esfuerzo a tracciónAt (mm2)Paso p (mm)Diámetro menordr (mm)Área de esfuerzo a tracciónAt (mm2)
Tabla 8.1 Dimensiones de roscas unificadas (UNS), serie de roscas bastas (UNC) y finas (UNF).TamañoDiámetro mayor (nominal)d (in)ROSCA BASTA (UNC) ROSCA FINA (UNF) Ancho aproximado entre carasAT (in)Número de hilos por pulgadaDiámetro menordr (in)Área de esfuerzo a tracciónAt (in2)Número de hilos por pulgadaDiámetro menordr (in)Área de esfuerzo a