PRYING9 --- AISC 9th ED. PRYING ACTION ANALYSIS PROGRAM.xls

"PRYING9" --- AISC 9th ED. PRYING ACTION ANALYSIS PROGRAM Program Description: "PRYING9" is a spreadsheet program written in MS-Excel for the purpose of analysis for prying action in structural steel connections per the AISC 9th Edition (ASD) Code, pages 4-89 to 4-95. Specifically, bolt tension and bolt shear are checked, and the prying force and required thickness are determined. This program is a workbook consisting of three (3) worksheets, described as follows:

Worksheet Name

Description

Doc Prying Action Allowable Tension Force

This documentation sheet Prying action analysis for connections per AISC 9th Edition (ASD) Manual Allowable axial tension force at beam connection from bending due to prying

Program Assumptions and Limitations: 1. The Prying Action worksheet is valid for connections subjected to tension only, or to a combination of tension and shear. 2. The Prying Action worksheet is only applicable for connection bolt diameters from 1/2” to 1-1/2 “ 3. The Prying Action worksheet is only applicable for ASTM A325 or A490 high-strength connection bolts. 4. The Prying Action worksheet is applicable to connection bolts in bearing with threads included in shear plane (N) or threads excluded from shear plane (X), as well as bolts in a slip critical connection (SC). 5. The Prying Action worksheet is applicable to connections with either standard or oversized bolt holes. 6. The Prying Action worksheet also takes fatigue effects into account when required to reduce the allowable bolt tension stress. 7. The Allowable Tension Force worksheet has any applicable assumptions and limitations listed directly below the tables of values. 8. This program contains numerous “comment boxes” which contain a wide variety of information including explanations of input or output items, equations used, data tables, etc. (Note: presence of a “comment box” is denoted by a “red triangle” in the upper right-hand corner of a cell. Merely move the mouse pointer to the desired cell to view the contents of that particular "comment box".)

"PRYING9.xls" Program Version 1.9

PRYING ACTION ANALYSIS Job Name: Job Number:

For Structural Steel Connections Per AISC 9th Edition Manual (ASD) - Pages 4-89 to 4-95 Subject: Originator: Checker:

Input Data: Total Tension Load, Tt = 53.70 Total Shear Load, Vt = 26.80 Steel Yield, Fy = 36 Bolt Diameter, db = 0.750 ASTM Bolt Desig. = A325 Bolt Type (N, X, or SC) = N Bolt Hole Type = Standard Tributary Length/Bolt, p = 4.500 Total No. of Bolts, Nb = 6 Width, bf = 8.5000 Thickness, t = 0.6250 Thickness, tw = 1.7500 Bolt Gage, g = 5.500 No. of Loading Cycles = 20000

bf/2=4.25 g/2=2.75 db=0.75

kips kips ksi

Q=2.94

in.

t=0.625

tw=1.75

in.

b'=1.5

T+Q=11.89 a'=1.875

bolts

b=1.875

in. in.

a=1.5

M2

in. in. (for 25 years)

M1

Results: 2*T=17.9

Check Bolt Tension and Shear: Ab = 0.4418 in.^2 vb = 4.47 kips/bolt fv = 10.11 ksi T= 8.95 kips/bolt ft = 20.26 ksi Tb = 28.00 kips Fv = 21.00 ksi Vb = 9.30 kips/bolt Ft(w/o Shr.) = 44.00 ksi Ft = 38.56 ksi B= 17.00 kips/bolt

Ab = p*db^2/4 Nomenclature vb = Vt/Nb fv = vb/Ab T = Tt/Nb ft = T/Ab Tb = Tb from AISC Table J3.7 (for A325 bolts) Fv = Fv from AISC Table J3.2 (for N, X bolts) Vb = Fv*Ab Vb >= vb, O.K. Ft = (Ft from Table J3.2, fatigue is not considered) Ft = SQRT(Ft^2-(Ft/Fv)^2*fv^2) (for N, X bolts) B = Ft*Ab (for N, X bolts) B >= T, O.K.

Calculate Required Thickness: b = 1.8750 in. b' = 1.5000 in. a = 1.5000 in. a' = 1.8750 in. r = 0.8000 d' = 0.8125 in. d = 0.8194 b= 1.124 a' = 1.0000 t(req'd) = 0.604 in.

b = (g-tw)/2 b' = b-db/2 a = minimum of: (bf-g)/2 or 1.25*b a' = a+db/2 r = b'/a' d' = dh = db+1/16 (for Standard holes) d = 1-d'/p b = (1/r)*(B/T-1) If b >= 1: a' = 1, If b < 1: a' = lesser of 1 or (1/d)*(b/(1-b)) t(req'd) = SQRT(8*T*b'/(p*Fy*(1+d*a'))) t >= t(req'd), O.K. (continued)

2 of 5

6/3/2014 10:36 PM

"PRYING9.xls" Program Version 1.9

Calculate Prying Force, Q: tc = a= Q=

1.122 0.851 2.94

in. kips

tc = SQRT(8*B*b'/(p*Fy)) (to develop 'B' in bolts/no prying) a = 1/d*((T/B)/(t/tc)^2-1) (Note: 0 1 , T = Nb*(B*(t/tc)^2*(1+d)) If 0