Assume that the mass of the load acting on it is 10 Kg. Cyclic stress is the distribution of forces (aka stresses) that change over time in a repetitive fashion. 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 . This is approximately 42% of the yield stress for compression/tension. And as you get older, it'll be wise to reduce the amount of axial loading you perform in the gym. Both these loadsradial and axialare important when studying the motion of a spinning object. But opting out of some of these cookies may have an effect on your browsing experience. If such measurement errors were taken into account, the agreements between the predicted and measured lateral displacements might be better. 2011) and the fluid levels, in both experimental models as well as in clinical studies (Cheung et al. *"!t/R-+Nuj34T"(3*@3) (b60k4T.B;&G/(ZrB('E4T.ARr&jp?0eaa_+V? The axial load will also result in deflection, which is. 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. One such force is axial load. In S.I. @#@FX5[fUB/M'On Eric specializes in helping athletes and online clients achieve optimal performance in the gym and on the playing field. )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 /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 (That it has a 1/4 in. Axial loads are applied along the longitudinal or centroidal axis of a structural member. /0Q/FA0YWC\3L%'/M&'LJ5KDWA0YWC\0(c\)mTH/0.U20!amT2+gAaZ=:A^bA;dr4. Book Google Scholar. For 6061-)Tj 0 -1.16 TD 0 Tw (T6 aluminum )Tj /F10 1 Tf 5.6673 0 TD (s)Tj /F4 1 Tf 6.96 0 0 6.96 165.246 465.617 Tm (yield)Tj 12 0 0 12 179.041 468.017 Tm 0.0002 Tw ( is 37 ksi in compression and tension and )Tj /F10 1 Tf 16.7 0 TD 0 Tw (t)Tj /F4 1 Tf 6.96 0 0 6.96 384.721 465.617 Tm (yield)Tj 12 0 0 12 398.641 468.017 Tm ( is 19 ksi . Farmington Hills: American Concrete Institute. (1991) Creep Buckling of uniaxially loaded reinforced concrete columns. There is also strong evidence that repetitive load-ing affect both discs and vertebrae, and can cause path- These cookies do not store any personal information. !#u7F!$;4u!#u'@!$;4sZ5cme\,d,G-7g7M!=f)N"9GqQq&JH;ko@27!Oa*6*4m+4M9e+3?1G#Q_4Q]I(,h!O!t!OoD. Typically finding area )Tj /F8 1 Tf 12.6098 0 TD (A )Tj /F4 1 Tf 0.8611 0 TD 0.0001 Tw ( reduces to a single calculation such as length of a side)Tj -13.4708 -1.16 TD (or diameter of a rod. /0Q/FA0YWC\3L%'/M&'LJ5KDWA0YWC\0(c\)mTH/0.U20!amT2+gAaZ=:A^bA;dr4 This information may be useful to consider for the diagnosis and. )rq# !$\@s2r:HRbRA The deformation is related to the internal normal load P, the length of the member L, the modulus of "=:8T,lo,X\Gu&+80CC3s6sDe=UH;q)^-A-/M'On,>1m;=Kjh:)^-A-/M'On,>1m; *9/L!4i.G!>tk$!.P!&"4I7* Repetitive axial spinal loading affects the disc height (Gooyers et al. Axial loading is top-down loading - meaning the weight during the lift is moving vertically instead of horizontally. -*RLu!?ak9&7A$O7^*G386H9C+WDRJ=Y22/&joo+%'Tj\YQQ6V$tLSn@:ZkQ#Z4^. !l"d\Z=G$i5mmb+!6PQI!$;9J!9jah!$;9>!29`!5\_B+-::? =Lf8t4!>QS!N6,$!"1;[YRi$GYRr*H!%W/6F*.I"7;5.YBgbC(7! Here's how, plus 6 exercises to try out. The deformation of such)Tj 0 -1.16 TD 0.0001 Tw (a member is calculated by using the same formula but by applying vector addition to each)Tj T* 0 Tw (section to obtain the total deformation. )3505.2(*)]TJ 12.224 0.763 TD 3.5208 Tc (..)Tj /F4 1 Tf 12 0 0 12 90.001 604.817 Tm 0 Tc 0.0002 Tw (For a nominal value we will choose 1/32 or 0.03125. of Architectural Engineering, Kwangwoon University, 20 Kwangwoon-ro, Nowon-Gu, Seoul, 01897, South Korea, You can also search for this author in Build muscle, explosiveness, and even conditioning with just one kettlebell. (2014). For a circular hole it is usually the width minus the diameter of the hole. There is also strong evidence that repetitive load-ing affect both discs and vertebrae, and can cause path- Under an axial load a member in tension lengthens, a member in compression shortens and deformation due to shear is usually not significant for design purposes. Dept. )Tj /F6 1 Tf 0 -4.66 TD 0.0003 Tc (Deformation)Tj /F4 1 Tf 0 -1.4 TD 0 Tc (To determine the deformation of the bracket, we will break it into three sections and)Tj 0 -1.14 TD (perform vector addition to each section to determine whether or not our dimensions are)Tj 0 -1.16 TD 0.0001 Tw (large enough to prevent an unacceptable deformation. There are several reasons to research the effects of axial twist exposures and the resulting loading on the spine. The axial load f, which is along the axis of rotation of the object, and passing through the centroid, is due to the mass m of the load on top. Plus, the older you get, the less tolerant your body becomes to explosive exercises such as squats, cleans, deadlifts, and overhead presses. That information is not)Tj 0 -1.16 TD (provided in your text so we must make an assumption. The test results show that the . ACI Structural Journal, 94(6), 675683. Manage cookies/Do not sell my data we use in the preference centre. However, these studies only examined a limited number of muscles during the lifting . It is)Tj 0 -1.16 TD 0.0001 Tw (interesting to note that the maximum K is 3.0, hence in the absence of data, one can)Tj 0 -1.14 TD 0.0002 Tw (design conservatively using this value. This can cause deformations in the object, which are a result of the stress caused by the load. Fintel, M., Ghosh, S. K., & Iyengar, H. (1987). )Tj /F4 1 Tf 12 0 0 12 90.001 256.337 Tm (This time, )Tj /F10 1 Tf 4.3063 0 TD (s)Tj /F4 1 Tf 6.96 0 0 6.96 148.913 253.937 Tm (trial)Tj 12 0 0 12 160.081 256.337 Tm ( > /ExtGState << /GS1 14 0 R >> >> endobj 36 0 obj << /Length 9269 >> stream The force owing to the axial load acts on the central axis of the object, and it can be a compressing or stretching force. ?+@/=\Gu";]o=IYoF`P From recently published )]TJ /F4 1 Tf 12 0 0 12 350.161 213.857 Tm 0 Tc 0.0002 Tw [( )-9.8(which is well below our allowed)]TJ -21.68 -1.8 TD 0.0003 Tw (value of 0.005 in. )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 (A factor of safety of 1.3 will be used. P- effect). Both normal and shear stresses)Tj 0 -1.16 TD 0 Tw (must be considered. Comparisons of predicted and measured lateral displacements of eccentrically loaded column specimens. The)Tj -10.66 -1.14 TD 0.0002 Tw (following formula is found in Roark and Young \(1989\); it defines the value of K for a)Tj 0 -1.16 TD (hole based on geometric properties. )Tj ET 0.499 w 263.431 469.633 m 276.121 469.633 l 324.723 469.633 m 337.413 469.633 l 395.517 469.633 m 408.206 469.633 l S BT /F7 1 Tf 12.002 0 0 11.97 194.638 466.547 Tm 0 Tw (K)Tj 6.3151 0.6276 TD (r)Tj -0.5078 -1.3906 TD (W)Tj 5.6146 1.3906 TD (r)Tj -0.5078 -1.3906 TD (W)Tj 6.4063 1.3906 TD (r)Tj -0.5078 -1.3906 TD (W)Tj /F9 1 Tf -15.8307 0.763 TD 0.9067 Tc [(=-)-3138.1(+)]TJ 9.3437 0.4661 TD 0 Tc (\346)Tj 0 -1.0495 TD (\350)Tj 1.5964 1.0495 TD (\366)Tj 0 -1.0495 TD (\370)Tj 1.1146 0.5833 TD (-)Tj 3.1875 0.4661 TD (\346)Tj 0 -1.0495 TD (\350)Tj 1.5964 1.0495 TD (\366)Tj 0 -1.0495 TD (\370)Tj /F3 1 Tf -16.0521 0.5833 TD 0.9115 Tc [(33)661.5(1)911.5(3)]TJ 4.0182 0.6276 TD 0 Tc (2)Tj 1.9896 -0.6276 TD 0.25 Tc [(36)250(6)]TJ 3.1172 0.6276 TD 0 Tc (2)Tj 2.8177 -0.6276 TD 0.25 Tc [(15)250(3)]TJ 3.0807 0.6276 TD 0 Tc (2)Tj 7.001 0 0 6.982 343.914 480.231 Tm 9.5982 Tc (23)Tj 12.002 0 0 11.97 238.802 466.547 Tm 1.1172 Tc [(.*)-1612(.)-36.4(*)-2914(. Axial loading is top-down loading meaning the weight during the lift is moving vertically instead of horizontally. Simultaneous reversal of the axial load due to the helical gearing causes surface traction and additional stress at the inner-raceway subsurface . !ZeN;ncA5K7(E?g!UrNG=]i3:4ot4C Such long-term deformations were predicted based on the age-adjusted effective modulus of concrete and transformed section properties. As an example, we start with a one-dimensional (1D) truss member formed by points P1 and P2, with an initial length of L ( Fig. :U+-p"=jSt!87P4!=&b$!8@V` These cookies will be stored in your browser only with your consent. The formula to calculate the stress due to axial load is. *)Tj 3.724 0.6276 TD 0 Tc (*)Tj 1.0521 -1.3906 TD (. Bradford, M. A. Construction sequence analysis of the flat plate system in a high-rise building and its impact on the construction cycle. 7'SBb77:9\\H.Ne*(X_UoZ!9P*7'\m> Repetitive axial spinal loading affects the disc height (Gooyers et al. By using this website, you agree to our ACI Structural Journal, 86(2), 150155. The maximum)Tj T* (stress )Tj /F10 1 Tf 2.48 0 TD 0 Tw (s)Tj /F4 1 Tf 6.96 0 0 6.96 126.997 79.937 Tm (max)Tj 12 0 0 12 138.961 82.337 Tm 0.0001 Tw ( created by the nonuniformity may often be determined by multiplying the)Tj ET 0.5 w 186.916 389.329 m 203.168 389.329 l 221.076 389.329 m 238.203 389.329 l 251.517 389.329 m 271.957 389.329 l 289.865 389.329 m 299.147 389.329 l 312.461 389.329 m 337.183 389.329 l 375.687 389.329 m 402.909 389.329 l S BT /F9 1 Tf 12.001 0 2.64 11.985 166.695 386.239 Tm 0 Tw (d)Tj 7.4153 -0.763 TD 5.1128 Tc [(dd)234.4(d)]TJ 12.001 0 0 11.985 176.977 386.239 Tm 1.8807 Tc [(=\336)-85.4(=)-348.9(\336)568.2(=)-705.7(\336)734.9(=)]TJ /F7 1 Tf 0.9427 0.6276 TD 0 Tc (PL)Tj -0.0156 -1.3906 TD (EA)Tj 2.875 1.3906 TD (AE)Tj 0.3359 -1.3906 TD (L)Tj 2.1719 1.3906 TD 2.613 Tc (PA)Tj 3.2318 -1.3906 TD 0 Tc (L)Tj 2.0234 1.3906 TD (P)Tj -0.1771 -1.3906 TD (E)Tj 3.4974 0.763 TD (A)Tj 1.7708 0.6276 TD 0.9411 Tc (PL)Tj 0.1042 -1.3906 TD 0 Tc (E)Tj 7.001 0 0 6.991 260.549 374.067 Tm [(all)-8555.7(all)-8153.9(all)]TJ /F3 1 Tf -0.3527 2.3884 TD [(max)-7287(m)0.1(ax)-7005.8(max)]TJ 12.001 0 0 11.985 404.909 386.239 Tm ( \(3\))Tj ET endstream endobj 18 0 obj << /ProcSet [/PDF /Text ] /Font << /F2 5 0 R /F3 6 0 R /F4 7 0 R /F7 9 0 R /F8 10 0 R /F9 11 0 R /F10 12 0 R >> /ExtGState << /GS1 14 0 R >> >> endobj 20 0 obj << /Length 10588 >> stream 2012; Dimitriadis et al. Repetitive loading of flexion-extension motions are a viable pain generating pathway in absence of distinguishing height loss. )Tj 0 -2.32 TD 0 Tc (Pilkey, Walter D. \(1997\). )rtS!Vccs !42ag!VZYE!e(3#"3(I5s$?\q!/1E8!5ANN!6"rs!?(tl!D`_s!\"1h!hKL7! This website uses cookies to improve your experience. !!!-.!!E9A!,qo?!!!-.!!WEC!/s<88l&,J.m\2i@;JY;6q0dE9LCkD!)3Gm!)`f. ('hp!Xf>J6Wd_8+^%,I&9'h;&jod3 To systematically study the influence of axial- and lateral-strain-controlled loadings on the strength and post-peak deformation behaviors of brittle rocks, four types of rocks (marble, sandstone, granite, and basalt) are tested under uniaxial and triaxial compressions, using a brittle hard rock testing system named Stiffman with high loading system stiffness. The Structural Design of Tall and Special Buildings, 18(3), 341349. European Committee for Standardization. The dynamic loads acting on concrete-filled steel tubular members under axial impacts by rigid bodies were studied herein by FEM. !>khU!@e+6!DEMk!FGkB!HA-b!J1?*!La%c!N6$u!NlI9!R1Ys!Ug'i!Y#2N! BT /F2 1 Tf 13.92 0 0 13.92 90.001 694.577 Tm 0 g BX /GS1 gs EX 0.0002 Tc (References)Tj /F4 1 Tf 12 0 0 12 90.001 677.537 Tm 0 Tc 0.0002 Tw (Hibbeler, R.C. The force which will be acting on the object is a result of the load, and such a load has two components radial and axial. 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. !&+Iu!'gU0!)N`@!!E@I!d=]i! Design code for structural concrete, KCI 2012. This damage is cumulative over the life of the pavement and when it reaches some maximum value the pavement is considered to have reached the end of its useful . And as you get older, it'll be wise to reduce the amount of axial loading you perform in the gym. Anyone you share the following link with will be able to read this content: Sorry, a shareable link is not currently available for this article. !&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8 2012; Dimitriadis et al. 1 0 obj << /CreationDate (D:19990806144131) /Producer (Acrobat Distiller 3.02 for Power Macintosh) /Creator (Microsoft Word: LaserWriter 8 8.6) /Author (Ives) /Title (Microsoft Word - axial_8.doc) >> endobj 3 0 obj << /Length 5659 >> stream BT /F4 1 Tf 12 0 0 12 126.001 709.217 Tm 0 g BX /GS1 gs EX 0.0001 Tc 0.0002 Tw (For design, we set maximum stress )Tj /F10 1 Tf 14.308 0 TD 0 Tc 0 Tw (s)Tj /F4 1 Tf 6.96 0 0 6.96 304.933 706.817 Tm (max)Tj 12 0 0 12 316.801 709.217 Tm 0.0002 Tw ( equal to allowable stress )Tj /F10 1 Tf 10.306 0 TD 0 Tw (s)Tj /F4 1 Tf 6.96 0 0 6.96 447.709 706.817 Tm (all)Tj 12 0 0 12 454.561 709.217 Tm ( and invert)Tj -30.38 -1.2 TD 0.0003 Tw (the stress concentration expression:)Tj ET 0 G 0 J 0 j 0.5 w 10 M []0 d 1 i 271.254 677.809 m 303.95 677.809 l 376.435 677.809 m 394.44 677.809 l S BT /F9 1 Tf 12.003 0 2.641 11.985 182.984 674.719 Tm 2.9777 Tc (ss)Tj 16.2903 -0.763 TD 0 Tc 0 Tw (s)Tj /F3 1 Tf 7.002 0 0 6.991 191.611 671.723 Tm (max)Tj /F9 1 Tf 12.003 0 0 11.985 207.865 674.719 Tm 3.0239 Tc [(==)-1106.8(\336)-72.4(=)]TJ /F7 1 Tf 0.8411 0 TD 2.9059 Tc (KK)Tj 5.5208 0.6276 TD 0 Tc (P)Tj -0.9531 -1.3906 TD (A)Tj 4.1328 0.763 TD 3.0244 Tc (AK)Tj 4.9714 0.6276 TD 0 Tc (P)Tj 7.002 0 0 6.991 234.496 671.723 Tm (nom)Tj 6.4018 -1.3125 TD (reduced)Tj 7.0848 1.308 TD (reduced)Tj 8.0223 -1.308 TD (all)Tj /F3 1 Tf 12.003 0 0 11.985 396.44 674.719 Tm ( \(7\))Tj /F4 1 Tf 12 0 0 12 90.001 649.937 Tm 0.0079 Tw (Since A)Tj 6.96 0 0 6.96 128.426 647.537 Tm 0.0006 Tc (reduced )Tj 12 0 0 12 152.221 649.937 Tm 0 Tc 0.0002 Tw (is necessary to find K which is yet unknown, we have a dilemma. 0 G 0 J 0 j 0.5 w 10 M []0 d BX /GS1 gs EX 1 i 131.876 706.129 m 141.157 706.129 l 177.782 706.129 m 234.907 706.129 l S BT /F9 1 Tf 12 0 2.64 11.985 91.063 703.039 Tm 0 g 0 Tc 0 Tw (s)Tj /F7 1 Tf 7 0 0 6.991 99.657 700.012 Tm (all)Tj 12 0 0 11.985 121.47 703.039 Tm (K)Tj 0.9714 0.6276 TD (P)Tj 0.0234 -1.3906 TD 3.1364 Tc (AW)Tj 13.4714 0.763 TD 4.0238 Tc [(Wi)4023.8(n)]TJ /F9 1 Tf -15.3073 0 TD 2.214 Tc [(==)-5049.5(=)-757.8(\336)617.7(=)]TJ /F3 1 Tf 3.4818 0 TD 0.25 Tc (13)Tj 3.3906 0.6276 TD 0 Tc (1000)Tj 0.651 -1.3906 TD [(0)-250(0625)]TJ 3.8516 0.763 TD [(27692)-3609.3(0)-250(7511)]TJ 7 0 0 6.991 187.157 690.898 Tm (2)Tj 16.6696 1.308 TD (2)Tj 12 0 0 11.985 159.157 703.039 Tm 0.6172 Tc (. )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? "D&Kq/T"9A?B"2Oh""T\E"+9]I[ Journal information: ISSN 1976-0485 / eISSN 2234-1315. )Tj 0 -2.32 TD (Decision:)Tj 0 -2.3 TD 0.0002 Tw (For our final dimensions we have:)Tj /F10 1 Tf 0 -1.16 TD 0 Tw (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD (W)Tj 6.96 0 0 6.96 119.33 120.497 Tm (1)Tj 12 0 0 12 122.881 122.897 Tm (=1.875in)Tj /F10 1 Tf -2.74 -1.16 TD (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD (W)Tj 6.96 0 0 6.96 119.33 106.577 Tm (2)Tj 12 0 0 12 122.881 108.977 Tm (=0.8125=13/16 in)Tj /F10 1 Tf -2.74 -1.16 TD (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD (R=1in)Tj /F10 1 Tf -1.5 -1.14 TD (\267)Tj /F13 1 Tf 0.46 0 TD ( )Tj /F4 1 Tf 1.04 0 TD (C=1/32in)Tj ET endstream endobj 43 0 obj << /ProcSet [/PDF /Text ] /Font << /F3 6 0 R /F4 7 0 R /F6 8 0 R /F7 9 0 R /F9 11 0 R /F10 12 0 R /F13 25 0 R >> /ExtGState << /GS1 14 0 R >> >> endobj 45 0 obj << /Length 1000 >> stream 1-csuFtu<0A83kb+Co4B5UKZA1-csc?SXkn:K0)7+AYrl\,r82,UXZm:MTtR5n=$@ )Tj /F10 1 Tf 12 0 0 12 90.001 357.377 Tm (s)Tj /F4 1 Tf 6.96 0 0 6.96 97.237 354.977 Tm (trial )Tj 12 0 0 12 110.161 357.377 Tm (> )Tj /F10 1 Tf 0.82 0 TD (s)Tj /F4 1 Tf 6.96 0 0 6.96 127.237 354.977 Tm (all)Tj 12 0 0 12 134.161 357.377 Tm 0.0002 Tw ( so our guess of 1 inch was too low; choose a greater W)Tj 6.96 0 0 6.96 401.761 354.977 Tm 0 Tw (1)Tj 12 0 0 12 405.361 357.377 Tm (. )Tj 0 -2.34 TD (FBD:)Tj ET 144.241 194.657 m 144.961 194.657 l 145.201 180.257 l 145.201 179.537 l 144.481 179.537 l 144.241 193.937 l f 140.881 180.737 m 144.721 172.817 l 148.561 180.737 l 140.881 180.737 l f* 0.72 w 162.121 362.657 m 162.121 347.777 l S 165.841 361.937 m 162.001 369.857 l 158.161 361.937 l 165.841 361.937 l f* 126.121 362.657 m 126.121 347.777 l S 129.841 361.937 m 126.001 369.857 l 122.161 361.937 l 129.841 361.937 l f* 1 g 133.681 194.657 20.88 157.68 re f 133.321 352.697 21.6 -158.4 re S 90.001 338.417 28.8 21.6 re f BT 12 0 0 12 97.201 345.857 Tm 0 g 0 Tw (V)Tj ET 1 g 126.001 144.017 50.4 21.6 re f BT 12 0 0 12 133.201 151.457 Tm 0 g (1000)Tj ET endstream endobj 40 0 obj << /ProcSet [/PDF /Text ] /Font << /F3 6 0 R /F4 7 0 R /F6 8 0 R /F7 9 0 R /F9 11 0 R /F10 12 0 R >> /ExtGState << /GS1 14 0 R >> >> endobj 42 0 obj << /Length 6599 >> stream Correspondence to Green, R., & Breen, J. E. (1969). The elastic lateral displacement 0 of each column specimen was used as the values measured by the LVDTs, shown in Fig. Mechanics of Materials, 3)Tj 6.96 0 0 6.96 329.281 682.577 Tm (rd)Tj 12 0 0 12 335.079 677.537 Tm 0.0003 Tw ( ed., Prentice Hall, Engelwood Cliffs. So, for this problem, our dimensions satisfy the stiffness requirement. ACI Committee 318. 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 \(1997\)\). !&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8!&ag8 A key definition is A )Tj 6.96 0 0 6.96 451.921 550.577 Tm (reduced)Tj 12 0 0 12 474.001 552.977 Tm 0 Tw ( which)Tj -32 -1.16 TD 0.0002 Tw (varies not only with geometry, but also between references, hence one must be careful to)Tj 0 -1.14 TD (use it correctly. 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. 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