# TSC One-Way Shear Strength

Shear strength is calculated automatically

**Notation**

* b_{w }= *web width or diameter of circular section

*distance from extreme compression fiber to centroid of longitudinal tension reinforcement*

**d =***specified compressive strength of concrete*

**f**_{ck }=*design compressive strength of concrete*

**f**_{cd }=*specified yield strength for nonprestressed reinforcement*

**f**_{yk }=*design yield strength for nonprestressed reinforcement*

**f**_{yd }=*specified yield strength of transverse reinforcement*

**f**_{ywk }_{ }=*design yield strength of transverse reinforcement*

**f**_{ywd }_{ }=*overall thickness, height, or depth of member*

**h =***factored axial force normal to cross section occurring simultaneously with*

**N**_{d }=

**V**_{d}*center-to-center spacing transverse reinforcement, in*

**s =***nominal shear strength provided by concrete*

**V**_{c }=*shear strength*

**V**_{r }=*design shear strength provided by shear reinforcement, lb*

**V**_{w }=**γ**

*strength reduction factor*

**=**Nominal one-way shear strength at a section, * V_{r}*, is calculated by:

The shear strength is based on an average shear stress over the effective cross section, * b_{w}d*. Therefore dimensions of the cross-section should be satisfy the maximum limit given in

**TS 500 8.5.1.2**;

For calculation of * V_{c}*,

*,*

**V**_{w}*is taken as the distance from extreme compression fiber to centroid of longitudinal tension reinforcement.*

**d**The design strength of concrete and reinforcement materials is given below.

**V _{c}**

**for Nonprestressed Members**

For nonprestressed concrete reinforcement members, * V_{c}* is calculated using

**TS 500 8.1.4.**

The value of * V_{c}* ;

The value of * V_{cr}* ;

* γ= 0.07 *for pressure and

*for tension.*

**γ= -0.03****One-way shear reinforcement**

For members reinforced with transverse reinforcement, * V_{w}* is calculated using

**TS500 Equation 8.5**

* A_{sw}* is the effective area of all bar legs or wires within spacing

*, for each rectangular tie, stirrup, hoop, or crosstie.*

**s**Minimum shear reinforcement is given below;

Design shear strength is limited by the maximum limit given below;

The value of * f_{ywd}* is yield strength of transverse reinforcement,

Shear strength provided by bent-up longitudinal reinforcement is neglected.

**Next Topic**