# Connection Design Under Shear

**Symbols**

**A _{b} :** Non-threaded bolt web characteristic cross-sectional area

**A _{g} :** Gross area

**A _{n} :** Net cross-section area

**A _{e} :** Effective net cross-sectional area

**A _{gv} :** Gross area under shear stress

**A _{nv} **: Net area under shear stress

**A _{nt} :** Net area under tensile stress

**A _{w} :** Cross-section web area

**C _{v} :** Coefficient of reduction for shear buckling

**d:** Characteristic diameter of the stem of the bolt (the diameter of the non-threaded stem of the bolt)

**d _{h} :** Bolt hole diameter

**F _{nt} :** Characteristic tensile strength

**F ' _{nt} :** Reduced characteristic tensile stress obtained by considering the shear force effect

**F _{nv} :** Characteristic shear stress strength

**f _{rv} : **The greatest shear stress in the characteristic web area of the bolt

**F _{y} :** Structural steel characteristic yield strength

**F _{u} :** Structural steel characteristic tensile strength

**F _{yb} :** Bolt characteristic yield strength

**F _{ub} :** Bolt characteristic tensile strength

**n _{sp} :** Number of slip planes

**s:** Distance between bolt holes centers

**L _{e} : **The distance from the center of the bolt hole to the edge of the assembled element

**t:** Plate thickness

**R _{nt} **: Characteristic tensile strength

**R _{nv} :** Characteristic shear strength

**U _{bs} :** A coefficient considering the spread of tensile stresses

### Design Criteria Under Shear

It is assumed that all shear force is transferred by the web of the cross-section.

There is no interaction between shear force and bending moment.

### Shear Strength

In stiffened and unstiffened single and double symmetric cross-sections, the characteristic shear strength in the web plane is calculated as follows:

The coefficients for the I cross-section members are determined according to the slenderness ratio:

The allowable shear strength is calculated as follow:

### Bearing Type Connections

In bearing type connections, the strength is determined according to the smallest one by checking 2 limit states.

Shear failure of the bolt

Bearing failure of the plate

i) Ovalization of bolt hole

ii) Shear failure of the plate

### Characteristic Tensile and Shear Strength of Bolts

Characteristic tensile strength F

_{nt}of bolts is determined depending on the characteristic tensile strength of bolt material, F_{ub}.

The characteristic shear strength of bolts, F

_{nv}, is calculated in two different ways:

i) If the threaded web part of the bolt is in the shear plane, the following equation is valid:

ii) If the threaded web part of the bolt is outside the shear plane, the following equation is valid:

#### Tensile and Shear Strength of Bolts and Threaded Parts

The characteristic tensile or shear strength of preloaded high strength bolts, snug-tightened bolts and threaded cross-sections are computed according to the rupture limit conditions under the tensile or shear effects.

#### The Computation for Bearing Type Connections

### Bearing Limit States for the Plates (Bolt Holes)

Bearing, in other words, plastic deformations occur in the bolt stem and/or plate due to compression stresses occurring between the bolt stem and the plate edge.

In order to calculate the bearing stress values between the bolt stem and the hole edge, the calculation is made with the assumption that the stresses are uniformly distributed on this surface under the effect of compression.

#### The Bearing of the Bolt Hole

#### Tearout

The characteristic bearing resistance R

_{n}of a bolt hole is calculated based on the bearing limit state under the shear effect as follows:Regardless of the direction of the load, for connections formed from standard and oversized holes, short and long slotted or any other oval holes in which their longitudinal axis is parallel to the direction of the load:

For connections formed with long-slotted:

Depending on the regulation, safety coefficients are defined as follow:

### Shear Resistance

The characteristic shear strength of the cross-section and connected members under shear load for yielding and rupture limit states, R

_{n}is calculated as follows:

#### Yielding Limit State

#### Rupture Limit State

### Block Shear Limit State

The characteristic block shear strength, R

_{n}, is calculated on the basis of the yielding and rupture limit states along the shear surface or surfaces and the rupture limit states along the tensile surface.

### Tensile Strength

The characteristic tensile strength of the cross-section and connected members under tensile stress is calculated for the yielding and rupture limit states as R

_{n}shear effect as follows: