API 吊耳强度计算公式

Padeye Strength Check Calculation

Padeye Details吊耳参数

Padeye thickness (t)吊耳厚度20 mm

Padeye outer radius ®吊耳外圆半径45 mm

Hole size (φ）吊耳孔径35 mm

Width at base (W)吊耳根部宽度120 mm

Height of hole (h)吊耳孔高度100 mm

Material材料Q235

Shackle (selected by Owner)选用钢丝绳参数

Shackle WLL 钢丝绳额定载荷 4 T >2T OK! Pin Diameter (d) 卸扣销子直径32 mm

Allowable Stress许用应力

Yield point (δy)材料屈服极限235 MPa

Allowable shearing stress (0.4δy)许用切应力94 MPa

Allowable bearing stress (0.9δy)许用挤压应力211.5 MPa

Allowable combined stress (0.6δy)许用组合应力141 MPa

Design Load 设计载荷

SWL (Q) 额定载荷 2 T

Force direction to horizontal plane (θ)载荷方向与水平面夹

60 degree

角

Dynnamic load Factor (Sf)动态载荷系数 2.0

Design load on padeye (F=Sf*Q*9.81*1000)吊耳设计载荷39240.00 N

Vertical Force (Fv=F*sin(θ))垂直载荷33982.84 N

In-plane horizontal force (Fh=F*cos(θ))16991.42 N

Out-plane horizontal force (Fh0=0.05*9.81*Q*1000) 981.00 N

Shearing stress (pin tearout) 剪切应力计算

Shear stress (fv=F/(2*(R-0.5φ)*t)吊耳承受的剪切应力35.7 MPa <94MPa OK! Bearing stress at hole 挤压应力计算

Bearing stress (fp=F/(d*t)吊耳承受的挤压应力61.3 MPa <211.5MPa OK! Combined stress at base 吊耳根部综合应力计算

Tension stress (ft=Fv/(W*t)吊耳根部拉应力14.2 MPa

In-plane shearing stress (fv=Fh/(W*t)) 7.1 MPa

Out-plane shearing stress (fvo=Fho/(W*t) 0.41 MPa

In-plane bending moment (M1=Fh) 1699141.8 N.mm

Out-plane bending moment (M2=Fh0*h) 98100 N.mm

In-plane bending stress (fa=M1/(t*W^2/6) 35.4 MPa

Out-plane bending stress (fa0=M2/(t*W^2/6) 12.26 MPa

Combined stress at padeye base

42.1 MPa <141MPa OK!

(f max=SQRT(ft^2+fa^2+fa0^2+3*(fv+fvo)^2)