Introduction

This calculator allows the user to analyse and check each bolt within a bolt group to ensure compliance with the Australian Standard AS 4100. The user defines the bolt group geometry by inputting the number of rows and columns of bolts. Using user input loads, the calculator then checks the shear force and tension (pull-out) force in each bolt.
A typical connection with a bolt group is a beam to column bolted connection.
❗This calculation has been written in accordance with AS 4100.
Beam to column connection

Calculation

⬇️Inputs

Bolt Properties



Bolt grade
:8.8



Bolt category / tightening method
:S



Threads in shear plane?
:1



Length of lap splice
:0mm



Slip factor
:100



Bolt Group Geometry



Number of rows in bolt group
:4



Spacing between rows
:50mm



Number of columns in bolt group
:2



Spacing between columns
:50mm



Width of baseplate
:100mm



Depth of baseplate
:200mm



Loads

In-Plane Load:


F*x
:100kN



F*y
:200kN



ey, F*x eccentricity,
:0.1m



ex, F*y eccentricity
:0.2m



M*z (kNm)
:30

Note, ex & ey are the force eccentricities from the weld group centroid. Refer to Output --> Weld Group Geometry for the coordinates of the weld group centroid in order to determine your ex and ey.

Out-of-Plane Load:


V*o
:100kN



e, V*o eccentricity
:0.3m

Bolt group loaded by in-plane actions: (a) initial in-plane actions, (b) resolved actions about centroid
Bolt group loaded by out-of-plane actions: (a) initial out-of-plane actions, (b) resolved actions about centroid

⬆️Outputs

Bolt Properties



Bolt type
:8.8/S



Capacity reduction factor, ϕ
:0.8



Reduction factor for lap connections, kr
:1.0



Minimum tensile strength of a single bolt, fuf
:830MPa



Bolt Group Geometry



Total number of bolts
:8


Location of the Instantaneous Centre of Rotation (ICR):


x coordinate of bolt group centroid (mm)
:25.0mm

x coordinate of bolt group centroid (mm)


y coordinate of bolt group centroid (mm)
:75mm

y coordinate of bolt group centroid (mm)

Second moment of areas:


I_x (mm4)
:25000



I_y (mm4)
:5000



I_p (mm4)
:30000




Loads

In-Plane Resultant Forces:


Resultant applied in-plane moment, M*1 (kNm)
:60.0

Out-of-Plane Resultant Forces:


Resultant applied out-of-plane moment, M*o (kNm)
:30.0




⬆️Design Checks



Critical shear force applied on the bolt group, V*f
:180kN



Critical tearout force applied on the bolt group, N*tf
:45kN



Minimum required bolt
:M30


Evaluation of each bolt in the bolt group:

139.75
45
SAFE
SAFE
2
45.07
15
SAFE
SAFE
SAFE
SAFE
SAFE
3
67.31
-15
SAFE
SAFE
SAFE
SAFE
4
164.41
-45
SAFE
SAFE
5
156.62
45
SAFE
SAFE
6
83.85
15
SAFE
SAFE
SAFE
SAFE
7
97.63
-15
SAFE
SAFE
SAFE
8
178.97
-45
SAFE
SAFE
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Explanation

Connections in building structures use a minimum of two bolts and often more than eight bolts. The bolts used in a connection form a bolt group. A bolt group may be acted on by loads and bending moments in the plane of the bolt group (in-plane) or at right angles to it (out-of-plane loading).
See below for tabulated bolt data and information about the analysis of bolt groups.

Analysis of bolt groups

Geometry for Class 4.6 and 8.8 bolts

Design capacity for Class 4.6 and 8.8 bolts