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-'''
-Created on 25-May-2015
-
-@author: subhrajit
-'''
-'''
-Example 5.18 Page 412 N. Subramanium
-Design of steel structures
-Design of fin-plate:
-Design a web side plate connection (welded to the column and site bolted to the beam) for ISMB 400 in Fe 410 grade steel and to carry a reaction of 140 kN due
-to factored loads. The connection is to the flange of an ISSC 200 column.
-
-'''
-import cmath;
-import math
-import sys;
-
-from model import *
-from PyQt4.Qt import QString
-import logging
-flag = 1
-logger = None
-
-def module_setup():
-
- global logger
- logger = logging.getLogger("osdag.finPlateCalc")
-
-module_setup()
-# def set_designlogger():
-# global logger
-# logger = logging.getLogger("Designlogger")
-# logger.setLevel(logging.DEBUG)
-#
-# # create the logging file handler
-# fh = logging.FileHandler("fin.log", mode="w")
-#
-# #,datefmt='%a, %d %b %Y %H:%M:%S'
-# #formatter = logging.Formatter('%(asctime)s - %(name)s - %(levelname)s - %(message)s')
-#
-# formatter = logging.Formatter('''
-# <div class="LOG %(levelname)s">
-# <span class="DATE">%(asctime)s</span>
-# <span class="LEVEL">%(levelname)s</span>
-# <span class="MSG">%(message)s</span>
-# </div>''')
-# formatter.datefmt = '%a, %d %b %Y %H:%M:%S'
-# fh.setFormatter(formatter)
-#
-# # add handler to logger object
-# logger.addHandler(fh)
-#
-
-
-
-
-#FUNCTION DEFINITIONS---------------
-#BOLT: determination of shear capacity = fu * n * A / (root(3) * Y)
-def bolt_shear(dia, n, fu):
- A = cmath.pi * dia * dia * 0.25 * 0.78; #threaded area = 0.78 x shank area
- root3 = cmath.sqrt(3);
- Vs = fu * n * A / (root3 * 1.25 * 1000);
- Vs = round(Vs.real,3);
- return Vs
-
-#BOLT: determination of bearing capacity = 2.5 * kb * d * t * fu / Y
-def bolt_bearing(dia, t, fu):
- #add code to determine kb if pitch, gauge, edge distance known
- kb = 0.5; #assumption
- Vb = 2.5 * kb * dia * t * fu / (1.25 * 1000);
- Vb = round(Vb.real,3);
- return Vb;
-
-# PLATE: minimum thickness of web plate for eccentricity
-def web_min_h(shear, fy, thk):
- min_plate_ht = 5*shear*1000/(fy*thk);
- return min_plate_ht;
-
-
-def finConn(uiObj):
- global logger
- beam_sec = uiObj['Member']['BeamSection']
- column_sec = uiObj['Member']['ColumSection']
- connectivity = uiObj['Member']['Connectivity']
- beam_fu = uiObj['Member']['fu (MPa)']
- beam_fy = uiObj['Member']['fy (MPa)']
-
- shear_load = uiObj['Load']['ShearForce (kN)']
-
- bolt_dia = uiObj['Bolt']['Diameter (mm)']
- bolt_type = uiObj["Bolt"]["Type"]
- bolt_grade = uiObj['Bolt']['Grade']
-
- web_plate_t = uiObj['Plate']['Thickness (mm)']
- web_plate_w = uiObj['Plate']['Width (mm)']
- web_plate_l = uiObj['Plate']['Height (mm)']
- web_plate_fu = uiObj['Member']['fu (MPa)']
- web_plate_fy = uiObj['Member']['fy (MPa)']
-
- weld_t = uiObj["Weld"]['Size (mm)']
- weld_fu = 410
-
- bolt_planes = 1
- dictbeamdata = get_beamdata(beam_sec)
- beam_w_t = float(dictbeamdata[QString("tw")])
- beam_f_t = float(dictbeamdata[QString("T")])
- beam_d = float(dictbeamdata[QString("D")])
-
-
- # ############### Need to discuss with sir ########################
- # #Bolt grade chosen from drop down list
- #
- # #Bolt dia chosen from list of standard sizes between 12 and 36
- #
- # # web_plate_t lies between (5, 63)
- # if web_plate_t < 5 | web_plate_t > 63:
- # sys.exit();
- #
- # #weld_fu lies between (410, 610)
- # if weld_fu <= 410 | weld_fu >= 610:
- # sys.exit();
-
- ########################################################################
- # INPUT FOR PLATE DIMENSIONS (FOR OPTIONAL INPUTS) AND VALIDATION
-
- # Plate thickness check
- if web_plate_t < beam_w_t:
- web_plate_t = beam_w_t
- #logger.error("The length of the plate is more than the available depth of %2.2f mm " % (plate_len))
-
- logger.error(": Chosen web plate thickness is not sufficient" )
- logger.warning(" : Minimum required thickness %2.2f mm" % (beam_w_t))
-
- # Plate height check
- # Maximum/minimum plate height
- max_plate_height = beam_d - 2 * beam_f_t - 40;
- min_plate_height = web_min_h(shear_load,web_plate_fy,web_plate_t);
- min_plate_height = int(min_plate_height) /10 * 10 +10;
- min_plate_height = round(min_plate_height,3)
-
- # Height input and check
-
- if web_plate_l != 0:
- if web_plate_l > max_plate_height :
- logger.error(": Height of plate is more than the clear depth of the beam")
- logger.warning(": Maximum plate height allowed is %2.2f mm " % (max_plate_height))
- web_plate_l = max_plate_height ;
-
- elif min_plate_height > max_plate_height:
- logger.error(": Minimum required plate height is more than the clear depth of the beam")
- logger.warning(": Plate height required should be more than %2.2f mm " % (min_plate_height))
- logger.warning(": Maximum plate height allowed is %2.2f mm " % (max_plate_height))
- logger.info(": Increase the plate thickness")
- web_plate_l = max_plate_height;
-
- elif min_plate_height >= web_plate_l:
-
- logger.error(": Plate height provided is less than the minimum required ")
- logger.warning(": Plate height required should be more than %2.2f mm " % (min_plate_height))
-
- web_plate_l = min_plate_height
- else:
- if min_plate_height < max_plate_height:
- web_plate_l = min_plate_height +10
- elif min_plate_height >= max_plate_height:
- web_plate_l = (max_plate_height-10)//10*10 ;
-
-
- ########################################################################
- # Bolt design:
-
- # I: Check for number of bolts -------------------
- bolt_fu = int(bolt_grade) * 100
- bolt_fy = (bolt_grade - int(bolt_grade))*bolt_fu;
-
- t_thinner = min(beam_w_t.real,web_plate_t.real);
- bolt_shear_capacity = bolt_shear(bolt_dia,bolt_planes,bolt_fu).real;
- bolt_bearing_capacity = bolt_bearing(bolt_dia,t_thinner,beam_fu).real;
-
- bolt_capacity = min(bolt_shear_capacity, bolt_bearing_capacity);
-
- bolts_required = int(shear_load/bolt_capacity) + 1;
- if bolts_required <= 2:
- bolts_required = 3;
-
- bolt_group_capacity = bolts_required * bolt_capacity;
-
- # Spacing of bolts for web plate -------------------
- if bolt_dia == 12 or bolt_dia == 14:
- dia_hole = bolt_dia + 1
- elif bolt_dia == 16 or bolt_dia == 18 or bolt_dia == 20 or bolt_dia == 22 or bolt_dia == 24:
- dia_hole = bolt_dia + 2
- else:
- dia_hole = bolt_dia + 3
-
- # Minimum/maximum pitch and gauge
- min_pitch = int(2.5 * bolt_dia);
- min_gauge = int(2.5 * bolt_dia);
-
- if min_pitch%10 != 0 or min_gauge%10 != 0:
- min_pitch = (min_pitch/10)*10 + 10;
- min_gauge = (min_gauge/10)*10 + 10;
- else:
- min_pitch = min_pitch;
- min_gauge = min_gauge;
- #clause 10.2.2 is800
- max_spacing = int(min(100 + 4 * t_thinner, 200)); #clause 10.2.3.3 is800
-
- min_edge_dist = int(1.5 * (dia_hole)) + 10; # 10 mm added than min. value
- if min_edge_dist%10 != 0:
- min_edge_dist = (min_edge_dist/10)*10 + 10;
- else:
- min_edge_dist = min_edge_dist;
-
- max_edge_dist = int((12 * t_thinner * cmath.sqrt(250/beam_fy)).real)-1;
-
- # Determine single or double line of bolts
-
- length_avail = (web_plate_l-2*min_edge_dist);
- pitch = round(length_avail/(bolts_required-1),3);
-
-
-
- ## Calculation of moment demand
-
- M1 = bolt_shear_capacity * (20+min_edge_dist/2);
- # Single line of bolts
- if pitch >= min_pitch:
- bolt_line =1;
- gauge = 0;
- bolts_one_line = bolts_required;
- K = bolts_one_line / 2;
- M2=0;
- if bolts_required % 2 ==0 or bolts_required % 2 !=0:
- for k in range (0,K):
- M2 = M2 + 2*(bolt_shear_capacity * ((length_avail/2 - k * pitch)**2/(length_avail/2 - k * pitch)));
- moment_demand = max(M1,M2);
- moment_demand = round(moment_demand * 0.001,3)
-
- # Multi-line of bolts
- if pitch < min_pitch:
- bolt_line = 2;
- if bolts_required % 2 == 0:
- bolts_one_line = bolts_required/2;
- else:
- bolts_one_line = (bolts_required/2) + 1;
-
- pitch = round(length_avail/(bolts_one_line-1),3);
- gauge = min_gauge;
- M1 = bolt_shear_capacity * (20+ min_edge_dist + gauge/2);
-
- if pitch >= min_pitch:
- K = bolts_one_line / 2;
- M2=0;
- if bolts_required % 2 ==0 or bolts_required % 2 !=0:
- for k in range (0,K):
- V = length_avail/2 - k * pitch
- H = gauge/2;
- d = math.sqrt(V**2 + H**2);
- M2 = M2 + 2*(bolt_shear_capacity * (d**2/d));
- M2=M2*2;
- moment_demand = max(M1,M2);
- moment_demand = round(moment_demand * 0.001,3)
-
- # Needs discussion with Sir
- else:
- logger.error(": Bolt strength is insufficient to carry the shear force")
- logger.warning (": Increase bolt diameter and/or bolt grade")
- moment_demand=0.0
- ####################################################################################
- # Design of plate:
-
- # Width input (optional) and validation
- if web_plate_w != 0:
- if bolt_line == 1:
- web_plate_w_req = 2 * min_edge_dist
- end_dist = web_plate_w/2
- if bolt_line == 2:
- web_plate_w_req = gauge + 2 * min_edge_dist
- end_dist = (web_plate_w - gauge)/2
-
- if web_plate_w == 0:
- if bolt_line == 1:
- web_plate_w_req = 2 * min_edge_dist;
- web_plate_w = web_plate_w_req
- end_dist = web_plate_w /2
- if bolt_line == 2:
- web_plate_w_req = gauge + 2 * min_edge_dist;
- web_plate_w = web_plate_w_req;
- end_dist = (web_plate_w - gauge)/2
-
-
- # if web_plate_w < web_plate_w_req:
- # web_plate_w = web_plate_w_req;
-
- # Moment capacity of web plate
- moment_capacity = 1.2 * (web_plate_fy/1.1) * (web_plate_t * web_plate_l * web_plate_l)/6 * 0.001;
- moment_capacity = round(moment_capacity * 0.001,3);
-
- if moment_capacity > moment_demand:
- pass
- else:
- logger.error(": Plate moment capacity is less than the moment demand")
-
- logger.warning(": Re-design with increased plate dimensions")
-
-
- # Plate dimension optimisation
-
- web_plate_l_req1 = math.sqrt((moment_demand*1000*6*1.1)/(1.2*beam_fy*web_plate_t));
- # Single line of bolts
- if bolt_line == 1:
- web_plate_l_req2 = (bolts_required-1) * min_pitch + 2 * min_edge_dist;
- if web_plate_l == 0 or web_plate_l == min_plate_height or web_plate_l == max_plate_height:
- web_plate_l_req = max(web_plate_l_req1, web_plate_l_req2, web_plate_l);
- else:
- web_plate_l_req = max(web_plate_l_req1, web_plate_l_req2,min_plate_height);
-
- # Multi line of bolts
- if bolt_line == 2:
- web_plate_l_req2 = (bolts_one_line-1) * min_pitch + 2 * min_edge_dist;
-
- if web_plate_l == 0 or web_plate_l == min_plate_height or web_plate_l == max_plate_height:
- web_plate_l_req = max(web_plate_l_req1, web_plate_l_req2, web_plate_l);
- elif web_plate_l > min_plate_height or web_plate_l < max_plate_height:
- web_plate_l_req = max(web_plate_l_req1, web_plate_l_req2, min_plate_height);
-
- if web_plate_l != min_plate_height +10 or web_plate_l != (max_plate_height-10)//10*10 :
- pass
- else:
- if web_plate_l < web_plate_l_req:
- logger.error(": Plate height provided is less than the minimum required")
-
- if web_plate_w < web_plate_w_req:
-
- logger.error(": Plate width provided is less than the minimum required")
- logger.warning(": Minimum plate width required is %2.2f mm " %(web_plate_w_req))
-
- ##################################################################################
- ## Weld design
- # V: Weld shear strength -------------------
- weld_l = web_plate_l - weld_t * 2;
-
- #direct shear
- Vy1 = shear_load *1000 /float(2*weld_l);
-
- #shear due to moment
- xCritical = 0; #single line weld
- yCritical = weld_l * 0.5; #single line weld
-
- Ip = weld_l * weld_l * weld_l / 12;
-
- Vx = moment_demand * yCritical *1000000 / (2 * Ip);
- Vy2 = moment_demand * xCritical * 1000000 / (2 * Ip);
-
- Vr = math.sqrt(Vx ** 2 + (Vy1 + Vy2) ** 2);
- Vr = round(Vr,3);
-
- weld_strength = 0.7 * weld_t * weld_fu / (math.sqrt(3) * 1.25);
- weld_strength = round(weld_strength,3);
-
- weld_t_req = (Vr * (math.sqrt(3) * 1.25))/(0.7 * weld_fu) ;
-
- if weld_t_req != int(weld_t_req):
- weld_t_req = int(weld_t_req) + 1;
- else:
- weld_t_req = weld_t_req;
-
- if weld_t >= weld_t_req:
- pass
- else:
- logger.error(": Weld thickness is not sufficient")
- logger.warning(": Minimum weld thickness is required is %2.2f mm " % (weld_t_req))
-
- # End of calculation
- outputObj = {}
- outputObj['Bolt'] ={}
- outputObj['Bolt']['status'] = True
- outputObj['Bolt']['shearcapacity'] = bolt_shear_capacity
- outputObj['Bolt']['bearingcapacity'] = bolt_bearing_capacity
- outputObj['Bolt']['boltcapacity'] = bolt_capacity
- outputObj['Bolt']['numofbolts'] = bolts_required
- outputObj['Bolt']['boltgrpcapacity'] = bolt_group_capacity
- outputObj['Bolt']['numofrow'] = bolts_one_line
- outputObj['Bolt']['numofcol'] = bolt_line
- outputObj['Bolt']['pitch'] = pitch
- outputObj['Bolt']['enddist'] = float(end_dist)
- outputObj['Bolt']['edge'] = float(min_edge_dist)
- outputObj['Bolt']['gauge'] = float(gauge)
-
- outputObj['Weld'] = {}
- outputObj['Weld']['thickness'] = weld_t_req
- outputObj['Weld']['resultantshear'] = Vr
- outputObj['Weld']['weldstrength'] = weld_strength
-
- outputObj['Plate'] = {}
- outputObj['Plate']['minHeight'] = web_plate_l_req
- outputObj['Plate']['minWidth'] = web_plate_w_req
- outputObj['Plate']['externalmoment'] = moment_demand
- outputObj['Plate']['momentcapacity'] = moment_capacity
- outputObj['Plate']['height'] = float(web_plate_l)
- outputObj['Plate']['width'] = float(web_plate_w)
-
-
- #return outputObj
-
- if web_plate_l == (min_plate_height+10) or web_plate_l == ((max_plate_height-10)//10*10):
- if bolt_line==1:
- if web_plate_l == min_plate_height or web_plate_l == max_plate_height or web_plate_l < web_plate_l_req or web_plate_w < web_plate_w_req or weld_t_req > weld_t:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
- elif moment_capacity < moment_demand:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
-
- if bolt_line==2:
- if pitch < min_pitch:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
- elif web_plate_l == min_plate_height or web_plate_l == max_plate_height or web_plate_l < web_plate_l_req or web_plate_w < web_plate_w_req or weld_t_req > weld_t:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
- elif moment_capacity < moment_demand:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
- else:
-
- pass
-
- else:
- if web_plate_l == min_plate_height or web_plate_l == max_plate_height or web_plate_l < web_plate_l_req or web_plate_w < web_plate_w_req or weld_t_req > weld_t:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
- elif moment_capacity < moment_demand:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
- elif bolt_line==2:
- if pitch < min_pitch:
- for k in outputObj.keys():
- for key in outputObj[k].keys():
- outputObj[k][key] = ""
-
-# outputObj = {}
- if outputObj['Bolt']['status'] == True:
-
- logger.info(": Overall finplate connection design is safe \n")
- logger.debug(" :=========End Of design===========")
-
- else:
- logger.error(": Design is not safe \n ")
- logger.debug(" :=========End Of design===========")
-
- return outputObj
-
-
-
-
-
-