TSC One-Way Shear Strength

Notation

b_w = web width or diameter of circular section
d = distance from extreme compression fiber to centroid of longitudinal tension reinforcement
f_ck = specified compressive strength of concrete
f_cd = design compressive strength of concrete
f_yk = specified yield strength for nonprestressed reinforcement
f_yd = design yield strength for nonprestressed reinforcement
f_ywk = specified yield strength of transverse reinforcement
f_ywd = design yield strength of transverse reinforcement
h = overall thickness, height, or depth of member
N_d = factored axial force normal to cross section occurring simultaneously with V_d
s = center-to-center spacing transverse reinforcement, in
V_c = nominal shear strength provided by concrete
V_r = shear strength
V_w = design shear strength provided by shear reinforcement, lb
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_wd. 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 , d is taken as the distance from extreme compression fiber to centroid of longitudinal tension reinforcement.

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 γ= -0.03 for tension.

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

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.