钢结构螺栓连接设计计算表

钢结构螺栓连接设计计算,,,,,,,,,

序号,计算项目,符号表示,参数来源,计算公式,国际单位,计算结果,参数说明,规范依据,其他说明

一、基础参数设定,,,,,,,,,

1,连接类型,Type,设计值,梁-柱连接,-,梁-柱连接,连接类型,GB50017-2017,11.4节

2,螺栓类型,Bolt_type,设计值,高强度螺栓,-,高强度螺栓,螺栓类型,GB50017-2017,11.4.2条

3,螺栓等级,Grade,选用值,10.9级,-,10.9级,螺栓性能等级,GB/T3098.1,

4,螺栓规格,d,设计值,M20,mm,20,螺栓公称直径,GB/T5782,

5,螺栓孔径,d_0,设计值,d_0=22mm,mm,22,螺栓孔径,GB50017-2017,表11.4.1-1

6,受剪面数目,n_v,设计值,n_v=2,-,2,受剪面数目,GB50017-2017,11.4.1条

7,传力摩擦面数目,n_f,设计值,n_f=2,-,2,传力摩擦面数目,GB50017-2017,11.4.2条

8,螺栓数量,n,设计值,n=16,-,16,螺栓数量,设计要求,

9,连接受力类型,Load_type,设计值,受剪连接,-,受剪连接,连接受力类型,GB50017-2017,11.4.1条

10,设计剪力,V,设计值,V=800kN,kN,800,连接设计剪力,结构计算,

11,钢材牌号,Steel,选用值,Q235B,-,Q235B,钢材牌号,GB50017-2017,表4.4.1-1

12,钢材屈服强度,f_y,查表值,f_y=235MPa,MPa,235,Q235B钢材屈服强度,GB50017-2017,表4.4.1-1

13,钢材抗拉强度,f_u,查表值,f_u=375MPa,MPa,375,Q235B钢材抗拉强度,GB50017-2017,表4.4.1-1

14,钢材抗压强度设计值,f,查表值,f=215MPa,MPa,215,钢材抗压强度设计值,GB50017-2017,表4.4.1-1

15,钢材抗剪强度设计值,f_v,查表值,f_v=125MPa,MPa,125,钢材抗剪强度设计值,GB50017-2017,表4.4.1-1

16,螺栓抗拉强度设计值,f_t^b,查表值,f_t^b=500MPa,MPa,500,螺栓抗拉强度设计值,GB50017-2017,表11.4.1-1

17,螺栓抗剪强度设计值,f_v^b,查表值,f_v^b=310MPa,MPa,310,螺栓抗剪强度设计值,GB50017-2017,表11.4.1-1

18,螺栓承压强度设计值,f_c^b,查表值,f_c^b=640MPa,MPa,640,螺栓承压强度设计值,GB50017-2017,表11.4.1-1

19,摩擦面抗滑移系数,μ,查表值,μ=0.45,-,0.45,摩擦面抗滑移系数,GB50017-2017,表11.4.1-2

20,螺栓预拉力,P,查表值,P=155kN,kN,155,螺栓预拉力,GB50017-2017,表11.4.2-1

21,梁腹板厚度,t_w,设计值,t_w=10mm,mm,10,梁腹板厚度,设计要求,

22,柱翼缘厚度,t_f,设计值,t_f=16mm,mm,16,柱翼缘厚度,设计要求,

23,连接板厚度,t_p,设计值,t_p=12mm,mm,12,连接板厚度,设计要求,

24,承压构件总厚度,∑t,计算值,"∑t=min(t_w+t_p,t_f)",mm,22,承压构件总厚度,GB50017-2017,11.4.1条

25,螺栓孔中心距,a,设计值,a=80mm,mm,80,螺栓孔中心距,GB50017-2017,表11.4.1-3

26,螺栓孔边距,e,设计值,e=50mm,mm,50,螺栓孔边距,GB50017-2017,表11.4.1-3

27,螺栓孔端距,e_1,设计值,e_1=60mm,mm,60,螺栓孔端距,GB50017-2017,表11.4.1-3

28,螺栓排列行数,m,设计值,m=2,-,2,螺栓排列行数,设计要求,

29,螺栓排列列数,n_col,设计值,n_col=8,-,8,螺栓排列列数,设计要求,

30,连接长度,L,计算值,L=(n_col-1)×a,mm,560,连接长度,几何计算,

二、普通螺栓连接计算,,,,,,,,,

31,螺栓有效截面积,A_e,计算值,A_e=π×(d-0.9382×p)^2/4,mm²,245,螺栓有效截面积,GB50017-2017,11.4.1条

32,单个螺栓受剪承载力,N_v^b,计算值,N_v^b=n_v×A_e×f_v^b,kN,150.9,单个螺栓受剪承载力,GB50017-2017,式11.4.1-1

33,单个螺栓承压承载力,N_c^b,计算值,N_c^b=d×∑t×f_c^b,kN,281.6,单个螺栓承压承载力,GB50017-2017,式11.4.1-3

34,单个螺栓承载力设计值,N_min^b,计算值,"N_min^b=min(N_v^b,N_c^b)",kN,150.9,单个螺栓承载力设计值,GB50017-2017,11.4.1条

35,螺栓总承载力,N_total^b,计算值,N_total^b=n×N_min^b,kN,2414.4,螺栓总承载力,结构力学,n×N_min^b

36,承载力验算,Check_bearing,判断值,V≤N_total^b,-,满足,承载力验算,GB50017-2017,800≤2414.4

37,螺栓剪力分配,V_per_bolt,计算值,V_per_bolt=V/n,kN,50,每个螺栓承受的剪力,结构力学,

38,螺栓剪力验算,Check_shear,判断值,V_per_bolt≤N_min^b,-,满足,螺栓剪力验算,GB50017-2017,50≤150.9

39,连接长度折减系数,β,计算值,β=1.1-L/150d≥0.7,-,0.94,连接长度折减系数,GB50017-2017,11.4.1条

40,折减后螺栓承载力,N_reduced^b,计算值,N_reduced^b=β×N_total^b,kN,2269.5,折减后螺栓总承载力,GB50017-2017,11.4.1条

三、高强度螺栓摩擦型连接计算,,,,,,,,,

41,单个螺栓受剪承载力,N_v^b_friction,计算值,N_v^b_friction=0.9×n_f×μ×P,kN,125.55,单个螺栓受剪承载力,GB50017-2017,式11.4.2-1

42,螺栓总承载力,N_total_friction,计算值,N_total_friction=n×N_v^b_friction,kN,2008.8,螺栓总承载力,结构力学,n×N_v^b_friction

43,承载力验算,Check_friction,判断值,V≤N_total_friction,-,满足,承载力验算,GB50017-2017,800≤2008.8

44,螺栓剪力分配,V_per_bolt_friction,计算值,V_per_bolt_friction=V/n,kN,50,每个螺栓承受的剪力,结构力学,

45,螺栓剪力验算,Check_shear_friction,判断值,V_per_bolt_friction≤N_v^b_friction,-,满足,螺栓剪力验算,GB50017-2017,50≤125.55

46,孔型系数,k,查表值,k=1.0,-,1.0,孔型系数,GB50017-2017,标准孔

47,考虑孔型系数的承载力,N_v^b_k,计算值,N_v^b_k=k×N_v^b_friction,kN,125.55,考虑孔型系数的承载力,GB50017-2017,11.4.2条

48,孔型系数验算,Check_k,判断值,V_per_bolt_friction≤N_v^b_k,-,满足,孔型系数验算,GB50017-2017,50≤125.55

49,摩擦面抗滑移系数验证,Check_mu,判断值,μ≥0.4,-,满足,摩擦面抗滑移系数验证,GB50017-2017,0.45≥0.4

50,预拉力验证,Check_P,判断值,P≥150kN,-,满足,预拉力验证,GB50017-2017,155≥150

四、高强度螺栓承压型连接计算,,,,,,,,,

51,单个螺栓受剪承载力,N_v^b_bearing,计算值,N_v^b_bearing=n_v×A_e×f_v^b,kN,150.9,单个螺栓受剪承载力,GB50017-2017,式11.4.2-2

52,单个螺栓承压承载力,N_c^b_bearing,计算值,N_c^b_bearing=d×∑t×f_c^b,kN,281.6,单个螺栓承压承载力,GB50017-2017,式11.4.2-3

53,单个螺栓承载力设计值,N_min_bearing,计算值,"N_min_bearing=min(N_v^b_bearing,N_c^b_bearing)",kN,150.9,单个螺栓承载力设计值,GB50017-2017,11.4.2条

54,螺栓总承载力,N_total_bearing,计算值,N_total_bearing=n×N_min_bearing,kN,2414.4,螺栓总承载力,结构力学,n×N_min_bearing

55,承载力验算,Check_bearing_total,判断值,V≤N_total_bearing,-,满足,承载力验算,GB50017-2017,800≤2414.4

56,螺栓剪力分配,V_per_bolt_bearing,计算值,V_per_bolt_bearing=V/n,kN,50,每个螺栓承受的剪力,结构力学,

57,螺栓剪力验算,Check_shear_bearing,判断值,V_per_bolt_bearing≤N_min_bearing,-,满足,螺栓剪力验算,GB50017-2017,50≤150.9

58,连接长度折减系数,β_bearing,计算值,β_bearing=1.1-L/150d≥0.7,-,0.94,连接长度折减系数,GB50017-2017,11.4.2条

59,折减后螺栓承载力,N_reduced_bearing,计算值,N_reduced_bearing=β_bearing×N_total_bearing,kN,2269.5,折减后螺栓总承载力,GB50017-2017,11.4.2条

60,折减后承载力验算,Check_reduced,判断值,V≤N_reduced_bearing,-,满足,折减后承载力验算,GB50017-2017,800≤2269.5

五、拉剪连接计算,,,,,,,,,

61,设计拉力,N,设计值,N=200kN,kN,200,连接设计拉力,结构计算,

62,单个螺栓拉力,N_t_per_bolt,计算值,N_t_per_bolt=N/n,kN,12.5,每个螺栓承受的拉力,结构力学,

63,单个螺栓抗拉承载力,N_t^b,计算值,N_t^b=0.8×P,kN,124,单个螺栓抗拉承载力,GB50017-2017,11.4.2条

64,螺栓拉力验算,Check_tension,判断值,N_t_per_bolt≤N_t^b,-,满足,螺栓拉力验算,GB50017-2017,12.5≤124

65,拉剪联合作用验算,Check_combined,计算值,V_per_bolt/N_v^b+N_t_per_bolt/(1.2×N_t^b),-,0.42,拉剪联合作用验算,GB50017-2017,式11.4.2-4

66,拉剪验算,Check_shear_tension,判断值,0.42≤1.0,-,满足,拉剪验算,GB50017-2017,0.42≤1.0

67,摩擦型拉剪验算,Check_friction_combined,计算值,V_per_bolt/(N_v^b_friction×(1-N_t_per_bolt/P)),-,0.57,摩擦型拉剪验算,GB50017-2017,11.4.2条

68,摩擦型验算,Check_friction_tension,判断值,0.57≤1.0,-,满足,摩擦型验算,GB50017-2017,0.57≤1.0

69,最大拉力螺栓验算,Check_max_tension,判断值,N_t_per_bolt≤0.8×P,-,满足,最大拉力螺栓验算,GB50017-2017,12.5≤124

70,拉剪安全系数,n_combined,计算值,n_combined=1.0/0.42,-,2.38,拉剪安全系数,强度理论,>1.5

六、螺栓布置计算,,,,,,,,,

71,螺栓最小间距,a_min,查表值,a_min=3×d_0,mm,66,螺栓最小间距,GB50017-2017,表11.4.1-3

72,间距验算,Check_spacing,判断值,a≥a_min,-,满足,间距验算,GB50017-2017,80≥66

73,螺栓最小边距,e_min,查表值,e_min=1.5×d_0,mm,33,螺栓最小边距,GB50017-2017,表11.4.1-3

74,边距验算,Check_edge,判断值,e≥e_min,-,满足,边距验算,GB50017-2017,50≥33

75,螺栓最小端距,e_1_min,查表值,e_1_min=2.0×d_0,mm,44,螺栓最小端距,GB50017-2017,表11.4.1-3

76,端距验算,Check_end,判断值,e_1≥e_1_min,-,满足,端距验算,GB50017-2017,60≥44

77,螺栓最大间距,a_max,查表值,a_max=12×t,mm,120,螺栓最大间距,GB50017-2017,表11.4.1-3

78,最大间距验算,Check_max_spacing,判断值,a≤a_max,-,满足,最大间距验算,GB50017-2017,80≤120

79,螺栓排列方式,Arrangement,设计值,并列排列,-,并列排列,螺栓排列方式,设计要求,

80,螺栓布置验证,Check_arrangement,判断值,所有布置要求满足,-,满足,螺栓布置验证,GB50017-2017,

七、构件强度验算,,,,,,,,,

81,梁腹板毛截面面积,A_w,计算值,A_w=h_w×t_w,mm²,8000,梁腹板毛截面面积,几何计算,

82,梁腹板净截面面积,A_nw,计算值,A_nw=A_w-n_col×d_0×t_w,mm