# Wall Design Shear Strength Calculation

The shear strength of the wall sections,

*V*_{r}, is automatically calculated with**Equation (7.17)**.

The design shear force,

*V*_{e}value is automatically checked whether the conditions given in**Equation (7.18)**are met.

**ICONS**

* A _{ch }=* Gross cross-sectional area of each curtain segment, slab or each slab in a hollow slab

*Design tensile strength ofconcrete*

**f**_{ctd}=*Characteristic cylinder compressive strength of concrete*

**f**_{ck }=*Design yield strength of transverse reinforcement*

**f**_{ywd}=*Shear force taken as basis for transverse reinforcement calculations in columns, beams, junctions and walls*

**V**_{e }=*Shear force ofcolumn, beam or curtain section*

**V**_{r }=**ρ**

_{sh }*Volumetric ratio of horizontal web reinforcements in the wall*

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Walls are modeled with shell finite elements and the wall section is defined in the center of gravity so that these finite elements provide the condition for three dimensional rigid body motion. The internal forces of the curtain are obtained by summing the values obtained from the curtain finite element results of the respective loading combination at this center of gravity. **In TBDY Section 7.6.6.3** , the design shear force of walls, how _{to find the} value of V _{e} "Design Shear Forces for Walls”.

Curtains shear capacity is calculated as explained in **TBDY Section 7.6.7** . Design Shear Force, V _{e} , shear strength, V _{r} calculated in all loading combinations most unfavorable situation is calculated by comparing the , .

Shear strength for walls is calculated according to V _{r }**TBDY Equation 7.17** .

In this equation, A _{ch} is the gross cross-section area of the shear wall with no gaps or tie beams. f _{ctd} is the design tensile strength of concrete and f _{ywd} is the design yield strength of the shear transverse reinforcement. ρ _{sh} is the volumetric ratio of the horizontal web reinforcement of the wall arm. In accordance with the details given in the IMO handbook, how the calculation is made is explained in the image below.

A _{ch} is equal to the product of the thickness of the curtain arm and the length of the curtain in plan. ρ _{sh} volume ratio of the wall body reinforcement is used in the calculation of .

Considering the shear force capacity of the wall section created by the contribution of concrete and reinforcement and the prevention of non-ductile power depletion caused by the shear force, the following upper limits are foreseen for the design shear force. These upper limits are specified in **TBDY Equation 7.18** .

Design shear force, V _{e} , calculated according to **TBDY Section 7.6.6.3** for each loading combination , **TBDY** calculated shear strength, V _{r} for shear in **Equation 7.17** and **TBDY** 0.85A _{ch} for walls without a gap defined in **Equation 7.18** ( f _{ck} ) ^{1/2} , 0.65A _{ch} (f _{ck} ) ^{1/2} for curtains with gaps . At the upper limit values, A _{ch} is the product of the thickness of the curtain and the length of the curtain in plan. f _{ck} is the characteristic compressive strength of concrete.

While cutting safety is ensured in curtains, all of the above procedures are applied for all combinations and the most unfavorable situation is stated in the report.

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