Re applied to simplify the compression and tensile pressure distribution, as shown in Figure 14d. , are defined because the compression and tensile tension distribution, as shown in Figure is definitely the are defined as the equivalent coefficients of compression anxiety distribution, and 14d. , equivalent coeffiequivalent coefficients of compression strain distribution, and is the is 0.74, and is 0.25 cient of tension tension distribution. In specific, is taken as 0.92, equivalent coefficient of tension strain distribution. In particular, compression f’y is 0.74, and is 0.25 [27,42]. [27,42]. The yielding pressure of steel bars beneath is taken as 0.92, could be reasonably adopted The yielding tension ofunderbars below compression f’ y could be reasonably adopted because the as the yielding anxiety steel tension fy. yielding strain below tension f y .Figure 14. Strain train distribution at ultimate state: (a) cross section drawing; (b)(b) strain distribuFigure 14. Stress train distribution at ultimate state: (a) cross section drawing; strain distribution; tion; (c) actual stress distribution; (d) simplified triangular tension distribution. (c) actual stress distribution; (d) simplified triangular anxiety distribution.Consequently, for the depth in the compression zone at ultimate state xcu the thickness on the flange t, the force equilibrium equation could be expressed as:’ ‘ f cbw x + f c (b – bw )t + f y As = f y As + f pu Ap + f t bw h – x /(11)for xcu t, the force equilibrium equation is offered by the following equation:f cbx + f y’ As’ = f y As + f pu Ap + f t bw h – x / f t (b – bwt – x / + )(12)Appl. Sci. 2021, 11,16 ofTherefore, for the depth of your compression zone at ultimate state xcu the thickness from the flange t, the force equilibrium equation could be expressed as: f c bw x + f c (b – bw )t + f y As = f y As + f pu Ap + f t bw (h – x/) for xcu t, the force equilibrium equation is offered by the following equation: f c bx + f y As = f y As + f pu Ap + f t bw (h – x/) + f t (b – bw )(t – x/) (12) (11)exactly where bw is the width of your internet; b would be the width from the flange; A’ s will be the location of compression steel bars; As is definitely the region of tension steel bars; Ap will be the area of external CFRP tendons; and h will be the depth of the cross section. Substituting Equation (8) in to the above equilibrium equations, the only unknown value could DTSSP Crosslinker custom synthesis obtained. Hence, the following equations might be applied to estimate the ultimate moment of the UHPC beams prestressed with external CFRP tendons. For xcu t:Mu = 0.5 f t bw (h2 – x2 ) + f pu Ap hp + f y As h0 -0.5 f c (b – bw )t2 – 0.5 f c bw x2 – f y Ay as 2 (13)For xcu t:Mu = 0.5 f t bw (h2 – x2 x2 ) + 0.five f t (b – bw )(t2 – 2 ) + f pu Ap hp + f y As h0 -0.five f c bx2 – f y As as (14)exactly where h0 will be the effective depth in the cross section; and a’ s will be the effective depth in the compression reinforcements. The comparison among the experimental and also the prediction results of your specimens are listed in Table four. The maximum error was no far more than six , plus the average error was no extra than 3 . It indicated that the proposed process could appropriately predict the ultimate moment of UHPC beams prestressed with external CFRP tendons.Table 4. The comparison of experimental and predicted outcomes. Lufenuron Inhibitor Specimen Code E30-P85-D0-L3 E30-P85-D3-L3 E30-P85-D6-L3 E55-P68-D0-L3 Mean Standard deviation M u,e (kN ) 48.0 51.0 54.2 77.4 M u,p (kN ) 50.2 54.two 56.6 74.9 M u,e /M u,p 0.96 0.94 0.96 1.03 0.97 0.Note: Mu,e could be the experimental ultimate moment; and.
