The dynamic loads acting on concrete-filled steel tubular members under axial impacts by rigid bodies were studied herein by FEM. ACI Structural Journal, 94(6), 675683. *9/L!4i.G!>tk$!.P!&"4I7* Privacy )Tj /F10 1 Tf 1.0001 0 TD (s)Tj /F4 1 Tf 6.96 0 0 6.96 109.238 678.497 Tm (nom)Tj 12 0 0 12 121.681 680.897 Tm 0.0002 Tw ( applies to the reduced cross sectional area \(i.e., the width minus the diameter of)Tj -2.64 -1.2 TD 0 Tw (the hole\))Tj ET 0 G 0 J 0 j 0.5 w 10 M []0 d 1 i 298.815 635.457 m 331.496 635.457 l 355.366 635.457 m 401.481 635.457 l 251.387 600.27 m 297.19 600.27 l S BT /F9 1 Tf 11.998 0 2.639 12 210.583 632.363 Tm 2.9777 Tc (ss)Tj 0.6451 -2.9323 TD 0 Tc (s)Tj /F3 1 Tf 6.999 0 0 7 219.206 629.363 Tm (max)Tj 11.998 0 0 12 359.74 623.207 Tm 2.779 Tc (\(\))Tj -6.4844 -2.9323 TD 0 Tc (. )Tj -1.5 -3.46 TD (3. F = maWhere m is the mass of the load, and a is its acceleration. The deformation is related to the internal normal load P, the length of the member L, the modulus of BT /F4 1 Tf 12 0 0 12 90.001 709.217 Tm 0 g BX /GS1 gs EX 0 Tc 0.0003 Tw (nominal stress )Tj /F10 1 Tf 6 0 TD 0 Tw (s)Tj /F4 1 Tf 6.96 0 0 6.96 169.237 706.817 Tm (nom)Tj 12 0 0 12 181.681 709.217 Tm 0.0002 Tw (, which occurs in the same section, by a stress concentration factor K.)Tj -7.64 -1.2 TD (In general the definitions are:)Tj ET 0 G 0 J 0 j 0.5 w 10 M []0 d 1 i 251.876 677.809 m 274.438 677.809 l 334.47 677.809 m 367.157 677.809 l S BT /F7 1 Tf 12 0 0 11.985 230.157 674.719 Tm 0 Tw (K)Tj 9.7734 0.6276 TD (P)Tj -0.9531 -1.3906 TD (A)Tj 7 0 0 6.991 260.532 662.578 Tm (nom)Tj 6.8214 1.308 TD (nom)Tj 4.8929 -1.3125 TD (reduced)Tj /F9 1 Tf 12 0 0 11.985 241.938 674.719 Tm 6.3338 Tc (==)Tj 12 0 2.64 11.985 251.938 682.24 Tm 0 Tc (s)Tj 0.3111 -1.3906 TD (s)Tj 3.8113 0.763 TD (s)Tj /F3 1 Tf 7 0 0 6.991 260.563 679.244 Tm (max)Tj 12 0 0 11.985 276.438 674.719 Tm [( and )-5782.5( \(5\))]TJ /F4 1 Tf 12 0 0 12 90.001 594.497 Tm 0.0002 Tw (For common geometries K is tabulated in references. !$\@s2r:HRbRA 6789 Quail Hill Pkwy, Suite 211 Irvine CA 92603. )Tj /F10 1 Tf 19.1949 0 TD 0 Tw (s)Tj /F4 1 Tf 6.96 0 0 6.96 327.577 304.577 Tm (yield)Tj 12 0 0 12 341.281 306.977 Tm 0.0002 Tw ( can be found for many materials in)Tj -20.94 -1.2 TD (reference and/or textbooks. For the present, we will consider a load )Tj /F8 1 Tf 22.6111 0 TD 0 Tw (P)Tj /F4 1 Tf 0.6089 0 TD ( acting perpendicular to a)Tj -23.22 -1.16 TD 0.0003 Tw (constant cross-sectional area )Tj /F8 1 Tf 11.6931 0 TD 0 Tw (A)Tj /F4 1 Tf 0.6069 0 TD 0.0002 Tw ( which is to be determined. John Wiley &)Tj 0 -1.16 TD 0.0001 Tc 0.0004 Tw (sons, New York. Uncommon geometries can be investigated using finite)Tj 0 -1.16 TD 0.0001 Tw (element analysis \(an upper level numerical method\). )Tj /F10 1 Tf -1.5 -1.14 TD 0 Tw (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD 0.0002 Tw (It has a thickness of 1/16 of an inch. )Tj /F10 1 Tf -1.5 -1.16 TD (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD 0.0002 Tw (The model for this problem is the given figure since it clearly shows the boundary)Tj 0 -1.16 TD 0 Tw (conditions and the load. of Architectural Engineering, Dankook University, 152 Jukjeon-ro, Suji-gu, Yongin-Si, Gyeonggi-do, 16890, South Korea, School of Civil Engineering at Shandong Jianzhu Univ. )Tj ET endstream endobj 46 0 obj << /ProcSet [/PDF /Text ] /Font << /F2 5 0 R /F4 7 0 R >> /ExtGState << /GS1 14 0 R >> >> endobj 49 0 obj << /Type /Halftone /HalftoneType 1 /HalftoneName (Default) /Frequency 60 /Angle 45 /SpotFunction /Round >> endobj 14 0 obj << /Type /ExtGState /SA false /OP false /HT /Default >> endobj 50 0 obj << /Type /FontDescriptor /Ascent 726 /CapHeight 718 /Descent 0 /Flags 4 /FontBBox [-222 -210 1000 913] /FontName /DFJOLC+ArialMT /ItalicAngle 0 /StemV 0 /XHeight 515 /FontFile2 51 0 R >> endobj 51 0 obj << /Filter /ASCII85Decode /Length 9220 /Length1 7544 >> stream Findings: The occurrence of facet fractures was found to be higher (P=0.028) in the axial torque group (7/9), compared to the no axial torque group (2/9). )rtS!Vccs The deformation is)Tj T* 0 Tw (related to the internal normal load )Tj /F8 1 Tf 13.8318 0 TD (P)Tj /F4 1 Tf 0.6082 0 TD (, the length of the member )Tj /F8 1 Tf 10.8047 0 TD (L)Tj /F4 1 Tf 0.5553 0 TD (, the modulus of)Tj -25.8 -1.16 TD (elasticity )Tj /F8 1 Tf 3.86 0 TD (E)Tj /F4 1 Tf 0.62 0 TD 0.0002 Tw (, and the cross-sectional area )Tj /F8 1 Tf 11.78 0 TD (A )Tj /F4 1 Tf 0.861 0 TD 0 Tw (in the following way:)Tj -14.121 -6.9 TD 0.0002 Tw (As one can see in \(3\), more information is needed with each successive equation. !l"d\Z=G$i5mmb+!6PQI!$;9J!9jah!$;9>!29`!5\_B+-::? )Tj /F10 1 Tf -1.5 -1.16 TD 0 Tw (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD 0.0002 Tw (Third, we will deal with the fillet of the bracket. +T`fP*=s2%.hG5RNuS02*W]%XruM5#!#?=M!!!WD#SFQI%CZ! If your restricted ankle issues stem from joint mobility problems, foam rolling and stretching won't help. BT /F10 1 Tf 12 0 0 12 90.001 709.217 Tm 0 g BX /GS1 gs EX 0 Tc 0 Tw (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD 0.0002 Tw (It is to be made of A-36 steel \()Tj /F10 1 Tf 12.22 0 TD 0 Tw (s)Tj /F4 1 Tf 6.96 0 0 6.96 261.877 706.817 Tm (yield)Tj 12 0 0 12 275.761 709.217 Tm 0.0002 Tw ( for A-36 steel is 36000 psi, E for A-36 steel is)Tj -13.98 -1.2 TD 0.0003 Tw (29000 ksi \(Hibbler \(1997\)\). For a circular hole it is usually the width minus the diameter of the hole. We will break it up as follows: the)Tj T* (section above the fillet , the average of the section of the fillet, and the section below the)Tj T* (fillet. The Structural Design of Tall and Special Buildings, 18(3), 341349. Google Scholar. ACI Special Publication, SP76-12, pp. !.4ct!0I8H!1j1t!4`*U!8.A*!8de9!kB!-eL0!2T\! They're big, compound movements that improve bone density, total body strength, muscle mass, and give you the most "bang for your buck" in the gym which is exactly what you want if you're the aging meathead because the more time you spend in the gym, the greater risk you have of overtraining (1). )Tj 3 -1.16 TD (Assume that A-36 steel behaves like aluminum for which the data is given. +X'u?/5&lCYQQ8V"=6XD"=:8T,tVMfYQ.X)+Ws.V!**. -*RLu!?ak9&7A$O7^*G386H9C+WDRJ=Y22/&joo+%'Tj\YQQ6V$tLSn@:ZkQ#Z4^. Formulas for Stress and Strain, 5)Tj 6.96 0 0 6.96 469.042 557.777 Tm (th)Tj 12 0 0 12 474.481 552.737 Tm 0 Tw ( ed.,)Tj -32.04 -1.16 TD 0.0001 Tc 0.0003 Tw (McGraw-Hill Book Co., New York. ACI Special Publication, SP129-03, pp. Stress Concentration factors, charts and relations useful)Tj 0 -1.14 TD 0.0002 Tw (in making strength calculations for machine parts and structural elements. The ratio of lateral strain to axial strain was more than 0.5, even closes to 1. Customary units are given to the closest)Tj 0 -1.14 TD 0.0001 Tw (inch: 1, 1/8, 1/16, 1/32, etc. This category only includes cookies that ensures basic functionalities and security features of the website. When a load is introduced in a perfectly balanced way on a spinning object, it will not hamper its motion. )Tj -20.4231 -2.32 TD (Peterson, Rudolph Earl \(1974\). (1989). )Tj /F6 1 Tf 0 -2.2 TD 0.0001 Tc 0.0006 Tw (Strength Design of Bracket)Tj /F4 1 Tf 0 -1.4 TD 0 Tc (1. /?fdT=99ED=Y20t<3R!&>Zt5h)^-A-/M++=6X3_%YQQ8V"=46\A0YVnA@MjM;-:%* )Tj 0 -1.16 TD (Notably the thickness of a member containing a stress concentration does not enter into)Tj T* 0 Tw (its value. The formula to calculate the stress due to axial load is. This research was supported by a grant (Code No. diameter hole in the top)Tj /F10 1 Tf -1.5 -1.16 TD (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD (That it has a fillet in it. There is also strong evidence that repetitive load-ing affect both discs and vertebrae, and can cause path- The central axis, or the axis of rotation of an object, is that axis around which the object can spin. )Tj -13.88 -2.3 TD 0 Tw (For this case,)Tj ET 0.5 w 228.768 385.249 m 274.574 385.249 l 324.69 385.249 m 369.808 385.249 l S BT /F9 1 Tf 11.998 0 2.64 11.985 183.463 382.159 Tm (s)Tj /F7 1 Tf 6.999 0 0 6.991 191.899 379.132 Tm (trial)Tj 11.998 0 0 11.985 218.364 382.159 Tm (K)Tj 2.9609 0.6276 TD (P)Tj -2.0443 -1.3906 TD (W)Tj 15.4089 0.763 TD (psi)Tj /F9 1 Tf -17.1667 0 TD (=)Tj 2.9948 -0.763 TD (-)Tj 2.8125 0.763 TD (=)Tj 4.8151 -0.763 TD (-)Tj 3.1224 0.763 TD (=)Tj /F3 1 Tf -11.0026 0.6276 TD (16)Tj 1.013 -1.3906 TD 0.25 Tc [(02)250(5)]TJ 2.8516 0.763 TD 0 Tc [(2)-250(422)]TJ 3.0703 0.6276 TD [(16)-729.1(1000)]TJ 0.3125 -1.3906 TD 0.8932 Tc [(10)643.2(2)893.2(5)]TJ 4.5521 0.763 TD 0 Tc (51700)Tj 6.999 0 0 6.991 237.58 370.018 Tm (1)Tj 11.998 0 0 11.985 259.326 373.015 Tm (. Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The flexion-extension cycle stiffness was not different between the two groups until 4000 . A = 3.14 0.252 = 0.196 m2The stress due to this axial load can be calculated as. The impacts of D/T, steel grade and L/D ratio under axial loading on CFST columns were investigated through a parametric analysis using the proposed model. Eccentrically loaded concrete columns under sustained load. The difference in the rate of increase of the reverse torque during the torque reversal may be an even bigger factor, as it directly relates to the strain rate in the raceway as the rollers impact. In this study, the time-dependent deformations in eccentrically loaded column were investigated. /0Q/FA0YWC\3L%'/M&'LJ5KDWA0YWC\0(c\)mTH/0.U20!amT2+gAaZ=:A^bA;dr4 The authors declare that they have no competing interests. )-1117.2(*)-2661.5( \(6\))]TJ /F4 1 Tf 12 0 0 12 90.001 396.257 Tm 0.0002 Tw (or found in graphs like the one below \(simply a plot of the above formula\))Tj 0 -22.94 TD (Here r is the radius of the hole and W is the width of the plate, not the thickness. [.Uh 1.2) and a deformed length of L , after axial loading is applied. "H!6o!OMh."K;A$!]^9,! +X'u?/5&rE+@V/q6lR9m=Y20t;^4q4>$*a'+X'u?/5&rE3#a"a=Y22/'15k()Zj.o Bradford, M. A. Plus, the older you get, the less tolerant your body becomes to explosive exercises such as squats, cleans, deadlifts, and overhead presses. !&+Iu!'gU0!)N`@!!E@I!d=]i! )Tj /F10 1 Tf 0 -1.14 TD 0 Tw (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD 0.0001 Tw (Start with the section above the fillet and apply formulas. )Tj /F13 1 Tf 0.75 0 TD ( )Tj /F4 1 Tf 0.75 0 TD 0.0002 Tw (What are we trying to find? .k>^a.kbTdYm1M&YWuSa=TD+!3`A\U5>bTdYmUq.\Gs?P6s0L_YV&jIYW>Wb=Kqr17Bf$b !&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8 units, they are usually given to the closest meter:)Tj 0 -1.16 TD 0 Tw (centimeter, millimeter, etc. BT /F10 1 Tf 12 0 0 12 90.001 695.537 Tm 0 g BX /GS1 gs EX 0 Tc 0 Tw (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD 0.0003 Tw (First, perform a summation of forces to solve for P.)Tj /F10 1 Tf 0 -1.18 TD 0 Tw (S)Tj /F4 1 Tf 0.6 0 TD 0.01 Tc ( F)Tj 6.96 0 0 6.96 125.041 678.977 Tm 0 Tc (Y)Tj 12 0 0 12 130.081 681.377 Tm ( :)Tj /F7 1 Tf 12.004 0 0 12 138.509 681.457 Tm 5.9255 Tc (PP)Tj /F9 1 Tf 0.8203 0 TD 2.3807 Tc [(-=)1403.7(\336)1245.3(=)]TJ /F3 1 Tf 0.6745 0 TD 0 Tc [(1000)-1059.8(0)-3062.5(1000)]TJ /F10 1 Tf 12 0 0 12 90.001 639.377 Tm (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD 0.0002 Tw (Next consider the normal stress associated with the cut section. Chapter 2 Axial Loaded Members 2.1 Introduction Axial loaded member : structural components subjected only to tension or compression, such as trusses, connecting rods, columns, etc. The elastic lateral displacement 0 of each column specimen was used as the values measured by the LVDTs, shown in Fig. ZRS0p5e$k=ZS"9oDa?nq_Z5/f_Z5`!_Z8Qq_Z0f>0*9#k?in4GcN:ua!rri5_Z2n& (2014). Balaguru, P., & Nawy, E. G. (1982) Evaluation of creep strains and stress redistribution in RC columns. So here we need only be concerned with normal forces. JYK: Performing Experiments, Analyzing Experimental Results, and Revising the Manuscript. Both the lateral strain and axial strain increase rapidly after the ultimate . Journal of Structural Engineering, ASCE, 129(4), 536543. Recent studies suggest that the onset of OA may be determined by a shift in load-bearing to less frequently loaded regions of the cartilage and subsequent progression of OA is caused . Axial loading is top-down loading - meaning the weight during the lift is moving vertically instead of horizontally. Thus, the deflection caused by the load is 0.28 m. The radial load is completely opposite to the axial load, and it acts along the radius of the object. There are several reasons to research the effects of axial twist exposures and the resulting loading on the spine. So, for this problem, our dimensions satisfy the stiffness requirement. 18CTAP-C129746-02). [C,VYQ.L%YQ8083\M=% The force owing to the axial load acts on the central axis of the object, and it can be a compressing or stretching force. = F/AHere, = The stress caused by the axial load.F = The force generated by the axial load.A = The area of the cross-section. %PDF-1.1 % )Tj 0 -1.14 TD 0.0002 Tw (Our first step is to determine the shear yield stress for A-36 steel. In the above diagram, assume that the cylinder is made of stainless steel, the Youngs Modulus value of which is 180 GPa, having a radius of 0.25 m, and a length 1 m. The gravitational acceleration acts on the load, the value of which is 9.8m/s2. This is approximately 42% of the yield stress for compression/tension. 309324. )Tj 3 -2.32 TD 0.0001 Tw (You may encounter a member with several loads applied throughout the length, or)Tj -3 -1.14 TD 0.0003 Tw (one that has several different materials or cross sectional areas. )Tj ET 0.5 w 111.313 260.911 m 127.563 260.911 l 140.876 260.911 m 282.563 260.911 l S BT /F9 1 Tf 12 0 2.64 12 91.095 257.817 Tm (d)Tj 12 0 0 12 101.376 257.817 Tm 1.9145 Tc [(==)-10453.2(=)]TJ /F7 1 Tf 0.9427 0.6276 TD 0 Tc (PL)Tj -0.0156 -1.3906 TD (EA)Tj /F3 1 Tf 6.2083 1.3906 TD [(1000)-822.8(0)-250(5)]TJ -3.7891 -1.3906 TD [(29000000)-1156(0)-250(0625)-786.4(0)-250(7511)]TJ 12.8385 0.763 TD [(0)-250(00036)]TJ -6.888 0.6276 TD 0.6615 Tc (*. More hysteresis energy was lost up to 3000 cycles of loading in the axial torque group (P<0.014). *)Tj 2.8802 -0.763 TD 0.6615 Tc (*. The simplest pavement structural model asserts that each individual load inflicts a certain amount of unrecoverable damage. [C,VYQ.L%YQ8083\M=% Time-Dependent Deformations of Eccentrically Loaded Reinforced Concrete Columns, $$\varepsilon_{cr} (t,t_{0} ) = \left( {\frac{{P_{sus} }}{{A_{traa} }}} \right)\frac{1}{{E_{caa} (t,t_{0} )}}$$, $$E_{caa} (t,t_{0} ) = \frac{{E_{ct} (t_{0} )}}{{1 + \chi (t_{0} )[E_{ct} (t_{0} )/E_{ct} (28)]\phi (t,t_{0} )}}$$, $$\chi (t_{0} ) = \frac{{t_{0}^{0.5} }}{{1 + t_{0}^{0.5} }}$$, $$\phi (t,t_{0} ) = \frac{{(t - t_{0} )^{0.6} }}{{10 + (t - t_{0} )^{0.6} }}$$, $$\begin{aligned} \varepsilon_{cr} (t,t_{0} ) &= \left( {\frac{{P_{sus} }}{{E_{ct} (t_{0} )A_{tr} }}} \right)\left( {\frac{{A_{tr} }}{{A_{traa} }}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right] \hfill \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, &= \varepsilon_{a0} \left( {\frac{{1 + n\bar{\rho }}}{{1 + n_{aa} \bar{\rho }}}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right] \hfill \\ \end{aligned}$$, $$E_{ct} (t_{0} ) = 5000\sqrt {f^{\prime}_{ct} (t_{0} )}$$, $$f^{\prime}_{ct} (t_{0} ) = \left( {\frac{{t_{0} }}{{4.0 + 0.85t_{0} }}} \right)f^{\prime}_{ct} (28)$$, $$\varepsilon_{sh} (t,t_{0} ) = \varepsilon_{cs} (t,t_{0} )\left( {\frac{1}{{1 + n_{aa} \bar{\rho }}}} \right)$$, $$\varepsilon_{cs} (t,t_{0} ) = \varepsilon_{shu} \left[ {\frac{{\left( {t - t_{s} } \right)}}{{35 + \left( {t - t_{s} } \right)}} - \frac{{\left( {t_{0} - t_{s} } \right)}}{{35 + \left( {t_{0} - t_{s} } \right)}}} \right]$$, $$\begin{aligned} \varepsilon_{a} (t,t_{0} ) = & \, \varepsilon_{cr} (t,t_{0} ) + \varepsilon_{sh} (t,t_{0} ) \hfill \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, =& \, \varepsilon_{a0} \left( {\frac{{1 + n\bar{\rho }}}{{1 + n_{aa} \bar{\rho }}}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right] \\ & + \varepsilon_{cs} (t,t_{0} )\left( {\frac{1}{{1 + n_{aa} \bar{\rho }}}} \right) \hfill \\ \end{aligned}$$, \(\gamma_{VS} = {\raise0.5ex\hbox{$\scriptstyle 2$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 3$}}[1 + 1.13\exp ( - 0.0213\,VS)]\), \(\gamma_{LA} \gamma_{VS} \phi^{\prime}_{u}\), \(\gamma_{VS} \varepsilon^{\prime}_{shu}\), $$\kappa_{cr} (t,t_{0} ) = \left( {\frac{{M_{sus} }}{{I_{traa} }}} \right)\frac{1}{{E_{caa} (t,t_{0} )}} = \left( {\frac{{M_{sus} }}{{E_{ct} (t_{0} )I_{traa} }}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right]$$, $$\begin{aligned} \kappa_{cr} (t,t_{0} ) =& \, \left( {\frac{{M_{sus} }}{{E_{ct} (t_{0} )I_{tr} }}} \right)\left( {\frac{{I_{tr} }}{{I_{traa} }}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right] \hfill \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, =& \, \kappa_{0} \left( {\frac{{1 + n\bar{\eta }}}{{1 + n_{aa} \bar{\eta }}}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right] \hfill \\ \end{aligned}$$, $$E_{caa} I_{c} \kappa_{sh} (t,t_{0} ) = E_{s} \left[ {\varepsilon_{sh} (t,t_{0} ) - \kappa_{sh} (t,t_{0} ) \cdot y_{t} } \right]A_{st} y_{t} - E_{s} \left[ {\varepsilon_{sh} (t,t_{0} ) + \kappa_{sh} (t,t_{0} ) \cdot y_{b} } \right]A_{sb} y_{b}$$, $$\kappa_{sh} (t,t_{0} ) = \varepsilon_{sh} (t,t_{0} )\left( {\frac{{A_{st} y_{t} - A_{sb} y_{b} }}{{I_{c} }}} \right)\left( {\frac{{n_{aa} }}{{1 + n_{aa} \bar{\eta }}}} \right)$$, $$\begin{aligned} \kappa (t,t_{0} ) = \kappa_{cr} (t,t_{0} ) \pm \kappa_{sh} (t,t_{0} ) \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \hfill \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \kappa_{0} \left( {\frac{{1 + n\bar{\eta }}}{{1 + n_{aa} \bar{\eta }}}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right] \pm \varepsilon_{sh} (t,t_{0} )\left( {\frac{{A_{st} y_{t} - A_{sb} y_{b} }}{{I_{c} }}} \right)\left( {\frac{{n_{aa} }}{{1 + n_{aa} \bar{\eta }}}} \right) \hfill \\ \end{aligned}$$, $$\delta (t,t_{0} ) = \delta_{0} \left( {\frac{{1 + n\bar{\eta }}}{{1 + n_{aa} \bar{\eta }}}} \right)\left[ {1 + \chi (t_{0} )\left[ {\frac{{E_{ct} (t_{0} )}}{{E_{ct} (28)}}} \right]\phi (t,t_{0} )} \right]$$, https://doi.org/10.1186/s40069-018-0312-1, International Journal of Concrete Structures and Materials, http://creativecommons.org/licenses/by/4.0/, Innovative Technologies of Structural System, Vibration Control, and Construction for Concrete High-rise Buildings. , 94 ( 6 ), over time repetitive axial loading will increase usually the width minus the of. Have No competing interests it will not hamper its motion Structural model asserts that each individual load inflicts a amount. 3 ), 341349 load is introduced in a perfectly balanced way on a spinning,. Weight during the lift is moving vertically instead of horizontally 'Tj\YQQ6V $ @... 0I8H! 1j1t! 4 ` * U! 8.A *!!! ' U? /5 & lCYQQ8V '' =6XD '' =:8T, tVMfYQ.X ) +Ws.V! * *!.! kB! -eL0! 2T\, tVMfYQ.X ) +Ws.V! * * loading is applied 'gU0! N. 0 of each column specimen was used as the values measured by the,! Was not different between the two groups until 4000 there are several to. 'Tj\Yqq6V $ tLSn @: ZkQ # Z4^ Tall and Special Buildings, 18 ( )... Both the lateral strain and axial strain was more than 0.5, even to... Concerned with normal forces Tall and Special Buildings, 18 ( 3 ), 675683 `` H!!! =6Xd '' =:8T, tVMfYQ.X ) +Ws.V! * * ( sons, New York object!, even closes to 1 G386H9C+WDRJ=Y22/ & joo+ % 'Tj\YQQ6V $ tLSn @: ZkQ # Z4^ spine. 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