How to align subequations when each subequation has multiple lines?

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I have three sub-equations and I want them to be left aligned and each to be numbered as (1a), (1b) and (1c). Since there are other equations too, I cannot change my existing packages or introduce a global setting which will disturb other equation. Here is what I have attempted.



documentclass[11pt,a4paper]report
usepackageamsmath
begindocument
beginsubequations
labele:strain_core
beginalign
beginsplit
epsilon_xx^c(x,z,t) = dfracpartial u^c(x,z,t)partial x = & dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t + dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b \ & + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
%labele: axial_straincore\% the equation can be tagged using the command tag1a
endsplit \
epsilon_zz^c(x,z,t) = dfracpartial w^c(x,z,t)partial z = Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) - dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 + dfrac12cBigg) w^t(x,t) \ %labele:transverse_straincore 
beginsplit
gamma_zx^c(x,z,t) = dfracpartial u^c(x,z,t)partial z + dfracpartial w^c(x,z,t)partial x = -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 - dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3 z^2c^2Bigg) phi_0^c \ + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg) u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z + Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b + Bigg[Bigg(dfracc+f_t2c^2Bigg) z \+ Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t + Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endsplit
endalign
endsubequations
enddocument





equations align







share|improve this question























  • Please make your code compilable (if possible), or at least complete it with documentclass..., the required usepackage's, begindocument, and enddocument. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem.
    – Skillmon
    3 hours ago










  • Dear Skillmon, thank you. I have now added required packages, and other commands to make it a minimal working example.
    – Kamran Ali Ahmed
    3 hours ago














up vote
1
down vote

favorite
1












I have three sub-equations and I want them to be left aligned and each to be numbered as (1a), (1b) and (1c). Since there are other equations too, I cannot change my existing packages or introduce a global setting which will disturb other equation. Here is what I have attempted.



documentclass[11pt,a4paper]report
usepackageamsmath
begindocument
beginsubequations
labele:strain_core
beginalign
beginsplit
epsilon_xx^c(x,z,t) = dfracpartial u^c(x,z,t)partial x = & dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t + dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b \ & + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
%labele: axial_straincore\% the equation can be tagged using the command tag1a
endsplit \
epsilon_zz^c(x,z,t) = dfracpartial w^c(x,z,t)partial z = Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) - dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 + dfrac12cBigg) w^t(x,t) \ %labele:transverse_straincore 
beginsplit
gamma_zx^c(x,z,t) = dfracpartial u^c(x,z,t)partial z + dfracpartial w^c(x,z,t)partial x = -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 - dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3 z^2c^2Bigg) phi_0^c \ + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg) u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z + Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b + Bigg[Bigg(dfracc+f_t2c^2Bigg) z \+ Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t + Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endsplit
endalign
endsubequations
enddocument





equations align







share|improve this question























  • Please make your code compilable (if possible), or at least complete it with documentclass..., the required usepackage's, begindocument, and enddocument. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem.
    – Skillmon
    3 hours ago










  • Dear Skillmon, thank you. I have now added required packages, and other commands to make it a minimal working example.
    – Kamran Ali Ahmed
    3 hours ago












up vote
1
down vote

favorite
1









up vote
1
down vote

favorite
1






1





I have three sub-equations and I want them to be left aligned and each to be numbered as (1a), (1b) and (1c). Since there are other equations too, I cannot change my existing packages or introduce a global setting which will disturb other equation. Here is what I have attempted.



documentclass[11pt,a4paper]report
usepackageamsmath
begindocument
beginsubequations
labele:strain_core
beginalign
beginsplit
epsilon_xx^c(x,z,t) = dfracpartial u^c(x,z,t)partial x = & dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t + dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b \ & + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
%labele: axial_straincore\% the equation can be tagged using the command tag1a
endsplit \
epsilon_zz^c(x,z,t) = dfracpartial w^c(x,z,t)partial z = Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) - dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 + dfrac12cBigg) w^t(x,t) \ %labele:transverse_straincore 
beginsplit
gamma_zx^c(x,z,t) = dfracpartial u^c(x,z,t)partial z + dfracpartial w^c(x,z,t)partial x = -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 - dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3 z^2c^2Bigg) phi_0^c \ + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg) u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z + Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b + Bigg[Bigg(dfracc+f_t2c^2Bigg) z \+ Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t + Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endsplit
endalign
endsubequations
enddocument





equations align







share|improve this question















I have three sub-equations and I want them to be left aligned and each to be numbered as (1a), (1b) and (1c). Since there are other equations too, I cannot change my existing packages or introduce a global setting which will disturb other equation. Here is what I have attempted.



documentclass[11pt,a4paper]report
usepackageamsmath
begindocument
beginsubequations
labele:strain_core
beginalign
beginsplit
epsilon_xx^c(x,z,t) = dfracpartial u^c(x,z,t)partial x = & dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t + dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b \ & + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
%labele: axial_straincore\% the equation can be tagged using the command tag1a
endsplit \
epsilon_zz^c(x,z,t) = dfracpartial w^c(x,z,t)partial z = Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) - dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 + dfrac12cBigg) w^t(x,t) \ %labele:transverse_straincore 
beginsplit
gamma_zx^c(x,z,t) = dfracpartial u^c(x,z,t)partial z + dfracpartial w^c(x,z,t)partial x = -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 - dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3 z^2c^2Bigg) phi_0^c \ + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg) u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z + Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b + Bigg[Bigg(dfracc+f_t2c^2Bigg) z \+ Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t + Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endsplit
endalign
endsubequations
enddocument





equations align




equations align






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edited 3 hours ago









Skillmon

18.7k11637




18.7k11637










asked 3 hours ago









Kamran Ali Ahmed

234




234











  • Please make your code compilable (if possible), or at least complete it with documentclass..., the required usepackage's, begindocument, and enddocument. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem.
    – Skillmon
    3 hours ago










  • Dear Skillmon, thank you. I have now added required packages, and other commands to make it a minimal working example.
    – Kamran Ali Ahmed
    3 hours ago
















  • Please make your code compilable (if possible), or at least complete it with documentclass..., the required usepackage's, begindocument, and enddocument. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem.
    – Skillmon
    3 hours ago










  • Dear Skillmon, thank you. I have now added required packages, and other commands to make it a minimal working example.
    – Kamran Ali Ahmed
    3 hours ago















Please make your code compilable (if possible), or at least complete it with documentclass..., the required usepackage's, begindocument, and enddocument. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem.
– Skillmon
3 hours ago




Please make your code compilable (if possible), or at least complete it with documentclass..., the required usepackage's, begindocument, and enddocument. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem.
– Skillmon
3 hours ago












Dear Skillmon, thank you. I have now added required packages, and other commands to make it a minimal working example.
– Kamran Ali Ahmed
3 hours ago




Dear Skillmon, thank you. I have now added required packages, and other commands to make it a minimal working example.
– Kamran Ali Ahmed
3 hours ago










2 Answers
2






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oldest

votes

















up vote
2
down vote



accepted










One could use only the align environment and therein the nonumber macro to suppress the tagging of lines one doesn't want to get a number:



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &= dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) nonumber\
 &phantom= +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 \[1ex]
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &= -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c nonumber\
 &phantom= + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^bnonumber\
 &phantom=+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endalign
endsubequations
enddocument


enter image description here



Also for the future: Code seems to be easier to maintain if it is indented and line broken where it makes sense...



Another solution could be to nest an aligned environment inside of the align environment (this would get rid of the phantom= thingies):



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &=
 beginaligned[t]
 &dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) \
 & +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 endaligned
 \
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &=
 beginaligned[t]
 &-Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c \
 & + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b\
 &+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
 endaligned
%labele: shear_straincore
endalign
endsubequations
enddocument


(result looks similar but the alignment of the tags is different)






share|improve this answer






















  • Thank you for your help.
    – Kamran Ali Ahmed
    9 mins ago

















up vote
1
down vote













If you use split within an align environment the & inside different split environments will actually line up.
I would use the aligned environment (also from amsmath) to split up the parts of the equation between the = symbols.



documentclassreport
usepackageamsmath
begindocument

beginsubequations
 labele:strain_core
 beginalign
 beginsplit
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & dfracf_t z^24 c^2 Biggl(1+dfraczcBiggr) w_,xx^t
 + dfracf_b z^24 c^2 Biggl(-1+dfraczcBiggr) w_,xx^b
 \&
 + z Biggl(1-dfracz^2c^2Biggr) phi_0,x^c(x,t)
 + dfracz^22c^2 Biggl(1-dfraczcBiggr) u_0,x^b
 \& %% <- I added this one because your equation is too wide
 + Biggl(1-dfracz^2c^2Biggr) u_0,x^c
 endaligned
 endsplit
 labele:axial_straincore% the equation can be tagged using the command tag1a
 \
 beginsplit
 epsilon_zz^c(x,z,t)
 &= dfracpartial w^c(x,z,t)partial z
 \
 &= Biggl(dfraczc^2 - dfrac12cBiggr) w^b(x,t)
 - dfrac2zc^2 w_0^c(x,t)
 + Biggl(dfraczc^2 + dfrac12cBiggr) w^t(x,t)
 endsplit
 labele:transverse_straincore 
 \
 beginsplit
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z
 + dfracpartial w^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & -Biggl(dfrac2 zc^2Biggr) u_0^c
 + Biggl(dfraczc^2 - dfrac3 z^22 c^3 Biggr) u_0^b
 + Biggl(1-dfrac3 z^2c^2Biggr) phi_0^c
 \&
 + Biggl(dfraczc^2 + dfrac3 z^22 c^3 Biggr) u_0^t
 + Biggr[-Biggl(dfracc+f_b2c^2Biggr) z + Biggl(dfrac2c+3f_b4 c^3Biggr) z^2Biggr] w_,x^b
 \&
 + Biggr[Biggl(dfracc+f_t2c^2Biggr) z
 + Biggl(dfrac2c+3f_t4 c^3Biggr) z^2Biggr] w_,x^t
 + Biggl(1-dfracz^2c^2Biggr) w_0,x^c
 endaligned
 endsplit
 labele:shear_straincore
 endalign
endsubequations

Reference test: refe:strain_core, refe:axial_straincore, refe:transverse_straincore, refe:shear_straincore.

enddocument


enter image description here






share|improve this answer




















  • Thank you @circumscribe for your help
    – Kamran Ali Ahmed
    8 mins ago










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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
2
down vote



accepted










One could use only the align environment and therein the nonumber macro to suppress the tagging of lines one doesn't want to get a number:



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &= dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) nonumber\
 &phantom= +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 \[1ex]
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &= -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c nonumber\
 &phantom= + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^bnonumber\
 &phantom=+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endalign
endsubequations
enddocument


enter image description here



Also for the future: Code seems to be easier to maintain if it is indented and line broken where it makes sense...



Another solution could be to nest an aligned environment inside of the align environment (this would get rid of the phantom= thingies):



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &=
 beginaligned[t]
 &dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) \
 & +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 endaligned
 \
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &=
 beginaligned[t]
 &-Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c \
 & + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b\
 &+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
 endaligned
%labele: shear_straincore
endalign
endsubequations
enddocument


(result looks similar but the alignment of the tags is different)






share|improve this answer






















  • Thank you for your help.
    – Kamran Ali Ahmed
    9 mins ago














up vote
2
down vote



accepted










One could use only the align environment and therein the nonumber macro to suppress the tagging of lines one doesn't want to get a number:



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &= dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) nonumber\
 &phantom= +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 \[1ex]
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &= -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c nonumber\
 &phantom= + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^bnonumber\
 &phantom=+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endalign
endsubequations
enddocument


enter image description here



Also for the future: Code seems to be easier to maintain if it is indented and line broken where it makes sense...



Another solution could be to nest an aligned environment inside of the align environment (this would get rid of the phantom= thingies):



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &=
 beginaligned[t]
 &dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) \
 & +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 endaligned
 \
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &=
 beginaligned[t]
 &-Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c \
 & + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b\
 &+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
 endaligned
%labele: shear_straincore
endalign
endsubequations
enddocument


(result looks similar but the alignment of the tags is different)






share|improve this answer






















  • Thank you for your help.
    – Kamran Ali Ahmed
    9 mins ago












up vote
2
down vote



accepted







up vote
2
down vote



accepted






One could use only the align environment and therein the nonumber macro to suppress the tagging of lines one doesn't want to get a number:



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &= dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) nonumber\
 &phantom= +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 \[1ex]
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &= -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c nonumber\
 &phantom= + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^bnonumber\
 &phantom=+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endalign
endsubequations
enddocument


enter image description here



Also for the future: Code seems to be easier to maintain if it is indented and line broken where it makes sense...



Another solution could be to nest an aligned environment inside of the align environment (this would get rid of the phantom= thingies):



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &=
 beginaligned[t]
 &dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) \
 & +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 endaligned
 \
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &=
 beginaligned[t]
 &-Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c \
 & + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b\
 &+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
 endaligned
%labele: shear_straincore
endalign
endsubequations
enddocument


(result looks similar but the alignment of the tags is different)






share|improve this answer














One could use only the align environment and therein the nonumber macro to suppress the tagging of lines one doesn't want to get a number:



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &= dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) nonumber\
 &phantom= +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 \[1ex]
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &= -Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c nonumber\
 &phantom= + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^bnonumber\
 &phantom=+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
%labele: shear_straincore
endalign
endsubequations
enddocument


enter image description here



Also for the future: Code seems to be easier to maintain if it is indented and line broken where it makes sense...



Another solution could be to nest an aligned environment inside of the align environment (this would get rid of the phantom= thingies):



documentclassarticle

usepackageamsmath

begindocument
beginsubequations
labele:strain_core
beginalign
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x nonumber\
 &=
 beginaligned[t]
 &dfracf_t z^24 c^2 Bigg(1+dfraczcBigg) w_,xx^t +
 dfracf_b z^24 c^2 Bigg(-1+dfraczcBigg) w_,xx^b 
 + z Bigg(1-dfracz^2c^2Bigg) phi_0,x^c(x,t) \
 & +dfracz^22c^2 Bigg(1-dfraczcBigg) u_0,x^b
 + Bigg(1-dfracz^2c^2Bigg) u_0,x^c
 endaligned
 \
 epsilon_zz^c(x,z,t) &= dfracpartial w^c(x,z,t)partial znonumber\
 &= Bigg(dfraczc^2 - dfrac12cBigg) w^b(x,t) -
 dfrac2zc^2 w_0^c(x,t) + Bigg(dfraczc^2 +
 dfrac12cBigg) w^t(x,t)
 \[1ex]
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z + dfracpartial
 w^c(x,z,t)partial xnonumber\
 &=
 beginaligned[t]
 &-Bigg(dfrac2 zc^2Bigg) u_0^c + Bigg(dfraczc^2 -
 dfrac3 z^22 c^3 Bigg) u_0^b + Bigg(1-dfrac3
 z^2c^2Bigg) phi_0^c \
 & + Bigg(dfraczc^2 + dfrac3 z^22 c^3 Bigg)
 u_0^t + Bigg[-Bigg(dfracc+f_b2c^2Bigg) z +
 Bigg(dfrac2c+3f_b4 c^3Bigg) z^2Bigg] w_,x^b\
 &+ Bigg[Bigg(dfracc+f_t2c^2Bigg) z 
 + Bigg(dfrac2c+3f_t4 c^3Bigg) z^2Bigg] w_,x^t +
 Bigg(1-dfracz^2c^2Bigg) w_0,x^c
 endaligned
%labele: shear_straincore
endalign
endsubequations
enddocument


(result looks similar but the alignment of the tags is different)







share|improve this answer














share|improve this answer



share|improve this answer








edited 22 mins ago

























answered 3 hours ago









Skillmon

18.7k11637




18.7k11637











  • Thank you for your help.
    – Kamran Ali Ahmed
    9 mins ago
















  • Thank you for your help.
    – Kamran Ali Ahmed
    9 mins ago















Thank you for your help.
– Kamran Ali Ahmed
9 mins ago




Thank you for your help.
– Kamran Ali Ahmed
9 mins ago










up vote
1
down vote













If you use split within an align environment the & inside different split environments will actually line up.
I would use the aligned environment (also from amsmath) to split up the parts of the equation between the = symbols.



documentclassreport
usepackageamsmath
begindocument

beginsubequations
 labele:strain_core
 beginalign
 beginsplit
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & dfracf_t z^24 c^2 Biggl(1+dfraczcBiggr) w_,xx^t
 + dfracf_b z^24 c^2 Biggl(-1+dfraczcBiggr) w_,xx^b
 \&
 + z Biggl(1-dfracz^2c^2Biggr) phi_0,x^c(x,t)
 + dfracz^22c^2 Biggl(1-dfraczcBiggr) u_0,x^b
 \& %% <- I added this one because your equation is too wide
 + Biggl(1-dfracz^2c^2Biggr) u_0,x^c
 endaligned
 endsplit
 labele:axial_straincore% the equation can be tagged using the command tag1a
 \
 beginsplit
 epsilon_zz^c(x,z,t)
 &= dfracpartial w^c(x,z,t)partial z
 \
 &= Biggl(dfraczc^2 - dfrac12cBiggr) w^b(x,t)
 - dfrac2zc^2 w_0^c(x,t)
 + Biggl(dfraczc^2 + dfrac12cBiggr) w^t(x,t)
 endsplit
 labele:transverse_straincore 
 \
 beginsplit
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z
 + dfracpartial w^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & -Biggl(dfrac2 zc^2Biggr) u_0^c
 + Biggl(dfraczc^2 - dfrac3 z^22 c^3 Biggr) u_0^b
 + Biggl(1-dfrac3 z^2c^2Biggr) phi_0^c
 \&
 + Biggl(dfraczc^2 + dfrac3 z^22 c^3 Biggr) u_0^t
 + Biggr[-Biggl(dfracc+f_b2c^2Biggr) z + Biggl(dfrac2c+3f_b4 c^3Biggr) z^2Biggr] w_,x^b
 \&
 + Biggr[Biggl(dfracc+f_t2c^2Biggr) z
 + Biggl(dfrac2c+3f_t4 c^3Biggr) z^2Biggr] w_,x^t
 + Biggl(1-dfracz^2c^2Biggr) w_0,x^c
 endaligned
 endsplit
 labele:shear_straincore
 endalign
endsubequations

Reference test: refe:strain_core, refe:axial_straincore, refe:transverse_straincore, refe:shear_straincore.

enddocument


enter image description here






share|improve this answer




















  • Thank you @circumscribe for your help
    – Kamran Ali Ahmed
    8 mins ago














up vote
1
down vote













If you use split within an align environment the & inside different split environments will actually line up.
I would use the aligned environment (also from amsmath) to split up the parts of the equation between the = symbols.



documentclassreport
usepackageamsmath
begindocument

beginsubequations
 labele:strain_core
 beginalign
 beginsplit
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & dfracf_t z^24 c^2 Biggl(1+dfraczcBiggr) w_,xx^t
 + dfracf_b z^24 c^2 Biggl(-1+dfraczcBiggr) w_,xx^b
 \&
 + z Biggl(1-dfracz^2c^2Biggr) phi_0,x^c(x,t)
 + dfracz^22c^2 Biggl(1-dfraczcBiggr) u_0,x^b
 \& %% <- I added this one because your equation is too wide
 + Biggl(1-dfracz^2c^2Biggr) u_0,x^c
 endaligned
 endsplit
 labele:axial_straincore% the equation can be tagged using the command tag1a
 \
 beginsplit
 epsilon_zz^c(x,z,t)
 &= dfracpartial w^c(x,z,t)partial z
 \
 &= Biggl(dfraczc^2 - dfrac12cBiggr) w^b(x,t)
 - dfrac2zc^2 w_0^c(x,t)
 + Biggl(dfraczc^2 + dfrac12cBiggr) w^t(x,t)
 endsplit
 labele:transverse_straincore 
 \
 beginsplit
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z
 + dfracpartial w^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & -Biggl(dfrac2 zc^2Biggr) u_0^c
 + Biggl(dfraczc^2 - dfrac3 z^22 c^3 Biggr) u_0^b
 + Biggl(1-dfrac3 z^2c^2Biggr) phi_0^c
 \&
 + Biggl(dfraczc^2 + dfrac3 z^22 c^3 Biggr) u_0^t
 + Biggr[-Biggl(dfracc+f_b2c^2Biggr) z + Biggl(dfrac2c+3f_b4 c^3Biggr) z^2Biggr] w_,x^b
 \&
 + Biggr[Biggl(dfracc+f_t2c^2Biggr) z
 + Biggl(dfrac2c+3f_t4 c^3Biggr) z^2Biggr] w_,x^t
 + Biggl(1-dfracz^2c^2Biggr) w_0,x^c
 endaligned
 endsplit
 labele:shear_straincore
 endalign
endsubequations

Reference test: refe:strain_core, refe:axial_straincore, refe:transverse_straincore, refe:shear_straincore.

enddocument


enter image description here






share|improve this answer




















  • Thank you @circumscribe for your help
    – Kamran Ali Ahmed
    8 mins ago












up vote
1
down vote










up vote
1
down vote









If you use split within an align environment the & inside different split environments will actually line up.
I would use the aligned environment (also from amsmath) to split up the parts of the equation between the = symbols.



documentclassreport
usepackageamsmath
begindocument

beginsubequations
 labele:strain_core
 beginalign
 beginsplit
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & dfracf_t z^24 c^2 Biggl(1+dfraczcBiggr) w_,xx^t
 + dfracf_b z^24 c^2 Biggl(-1+dfraczcBiggr) w_,xx^b
 \&
 + z Biggl(1-dfracz^2c^2Biggr) phi_0,x^c(x,t)
 + dfracz^22c^2 Biggl(1-dfraczcBiggr) u_0,x^b
 \& %% <- I added this one because your equation is too wide
 + Biggl(1-dfracz^2c^2Biggr) u_0,x^c
 endaligned
 endsplit
 labele:axial_straincore% the equation can be tagged using the command tag1a
 \
 beginsplit
 epsilon_zz^c(x,z,t)
 &= dfracpartial w^c(x,z,t)partial z
 \
 &= Biggl(dfraczc^2 - dfrac12cBiggr) w^b(x,t)
 - dfrac2zc^2 w_0^c(x,t)
 + Biggl(dfraczc^2 + dfrac12cBiggr) w^t(x,t)
 endsplit
 labele:transverse_straincore 
 \
 beginsplit
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z
 + dfracpartial w^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & -Biggl(dfrac2 zc^2Biggr) u_0^c
 + Biggl(dfraczc^2 - dfrac3 z^22 c^3 Biggr) u_0^b
 + Biggl(1-dfrac3 z^2c^2Biggr) phi_0^c
 \&
 + Biggl(dfraczc^2 + dfrac3 z^22 c^3 Biggr) u_0^t
 + Biggr[-Biggl(dfracc+f_b2c^2Biggr) z + Biggl(dfrac2c+3f_b4 c^3Biggr) z^2Biggr] w_,x^b
 \&
 + Biggr[Biggl(dfracc+f_t2c^2Biggr) z
 + Biggl(dfrac2c+3f_t4 c^3Biggr) z^2Biggr] w_,x^t
 + Biggl(1-dfracz^2c^2Biggr) w_0,x^c
 endaligned
 endsplit
 labele:shear_straincore
 endalign
endsubequations

Reference test: refe:strain_core, refe:axial_straincore, refe:transverse_straincore, refe:shear_straincore.

enddocument


enter image description here






share|improve this answer












If you use split within an align environment the & inside different split environments will actually line up.
I would use the aligned environment (also from amsmath) to split up the parts of the equation between the = symbols.



documentclassreport
usepackageamsmath
begindocument

beginsubequations
 labele:strain_core
 beginalign
 beginsplit
 epsilon_xx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & dfracf_t z^24 c^2 Biggl(1+dfraczcBiggr) w_,xx^t
 + dfracf_b z^24 c^2 Biggl(-1+dfraczcBiggr) w_,xx^b
 \&
 + z Biggl(1-dfracz^2c^2Biggr) phi_0,x^c(x,t)
 + dfracz^22c^2 Biggl(1-dfraczcBiggr) u_0,x^b
 \& %% <- I added this one because your equation is too wide
 + Biggl(1-dfracz^2c^2Biggr) u_0,x^c
 endaligned
 endsplit
 labele:axial_straincore% the equation can be tagged using the command tag1a
 \
 beginsplit
 epsilon_zz^c(x,z,t)
 &= dfracpartial w^c(x,z,t)partial z
 \
 &= Biggl(dfraczc^2 - dfrac12cBiggr) w^b(x,t)
 - dfrac2zc^2 w_0^c(x,t)
 + Biggl(dfraczc^2 + dfrac12cBiggr) w^t(x,t)
 endsplit
 labele:transverse_straincore 
 \
 beginsplit
 gamma_zx^c(x,z,t)
 &= dfracpartial u^c(x,z,t)partial z
 + dfracpartial w^c(x,z,t)partial x
 \
 &= beginaligned[t]
 & -Biggl(dfrac2 zc^2Biggr) u_0^c
 + Biggl(dfraczc^2 - dfrac3 z^22 c^3 Biggr) u_0^b
 + Biggl(1-dfrac3 z^2c^2Biggr) phi_0^c
 \&
 + Biggl(dfraczc^2 + dfrac3 z^22 c^3 Biggr) u_0^t
 + Biggr[-Biggl(dfracc+f_b2c^2Biggr) z + Biggl(dfrac2c+3f_b4 c^3Biggr) z^2Biggr] w_,x^b
 \&
 + Biggr[Biggl(dfracc+f_t2c^2Biggr) z
 + Biggl(dfrac2c+3f_t4 c^3Biggr) z^2Biggr] w_,x^t
 + Biggl(1-dfracz^2c^2Biggr) w_0,x^c
 endaligned
 endsplit
 labele:shear_straincore
 endalign
endsubequations

Reference test: refe:strain_core, refe:axial_straincore, refe:transverse_straincore, refe:shear_straincore.

enddocument


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered 19 mins ago









Circumscribe

2,103321




2,103321











  • Thank you @circumscribe for your help
    – Kamran Ali Ahmed
    8 mins ago
















  • Thank you @circumscribe for your help
    – Kamran Ali Ahmed
    8 mins ago















Thank you @circumscribe for your help
– Kamran Ali Ahmed
8 mins ago




Thank you @circumscribe for your help
– Kamran Ali Ahmed
8 mins ago

















 

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What does second last employer means? [closed]

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One-line joke

A one-liner is a joke that is delivered in a single line. A good one-liner is said to be pithy - concise and meaningful. [1] Comedians and actors use this comedic method as part of their act, e.g. Jimmy Carr, Tommy Cooper, Rodney Dangerfield, Norm Macdonald, Ken Dodd, Stewart Francis, Zach Galifianakis, Mitch Hedberg, Anthony Jeselnik, Milton Jones, Shappi Khorsandi, Jay London, Mark Linn-Baker, Demetri Martin, Groucho Marx, Dan Mintz, Emo Philips, Tim Vine, Steven Wright and Henny Youngman and Arnold Schwarzenegger. [ citation needed ] Many fictional characters are also known to deliver one-liners, including James Bond, who usually includes pithy and laconic quips after disposing of a villain. [ citation needed ] Examples "A baby seal walks into a club." "A dyslexic man walks into a bra." (Anonymous) "There are three types of people, those who can count and those who can't." "Venison's dear, isn't it?" (Jimmy Carr) "An escala
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