A non-pneumatic tire (100; 200), rim , and sidewall assembly, the assembly comprising: a non-pneumatic tire (100; 200) including: a lower ring having a first diameter, an upper ring having a second diameter greater than the first diameter, the upper ring being substantially coaxial with the lower ring , and support structure extending between the lower ring and the upper ring ; a rim connected to the lower ring of the non-pneumatic tire (100; 200); a lower sidewall cover (175; 220; 320) connected to the rim , the lower sidewall cover (175; 220; 320) including an annulus portion that covers a first side of the lower ring and a portion of a first side of the support structure , wherein the annulus portion of the lower sidewall cover (175; 220; 320) has an inner diameter that is less than the first diameter, and wherein the annulus portion of the lower sidewall cover (175; 220; 320) has an outer diameter that is less than the second diameter, wherein a lower portion of the upper sidewall cover (150; 210; 310) is bent inwards towards the non-pneumatic tire (100; 200), and wherein an upper portion of the lower sidewall cover (175; 220; 320) is bent outwards away from the non-pneumatic tire (100; 200); an upper sidewall cover (150; 210; 310) having an annulus shape that covers a portion of the first side of the support structure , wherein the upper sidewall cover (150; 210; 310) has an inner diameter that is less than the outer diameter of the annulus portion of the lower sidewall cover (175; 220; 320). a non-pneumatic tire (100; 200) including: a lower ring having a first diameter, an upper ring having a second diameter greater than the first diameter, the upper ring being substantially coaxial with the lower ring , and support structure extending between the lower ring and the upper ring ; a lower ring having a first diameter, an upper ring having a second diameter greater than the first diameter, the upper ring being substantially coaxial with the lower ring , and support structure extending between the lower ring and the upper ring ; a rim connected to the lower ring of the non-pneumatic tire (100; 200); a lower sidewall cover (175; 220; 320) connected to the rim , the lower sidewall cover (175; 220; 320) including an annulus portion that covers a first side of the lower ring and a portion of a first side of the support structure , wherein the annulus portion of the lower sidewall cover (175; 220; 320) has an inner diameter that is less than the first diameter, and wherein the annulus portion of the lower sidewall cover (175; 220; 320) has an outer diameter that is less than the second diameter, wherein a lower portion of the upper sidewall cover (150; 210; 310) is bent inwards towards the non-pneumatic tire (100; 200), and wherein an upper portion of the lower sidewall cover (175; 220; 320) is bent outwards away from the non-pneumatic tire (100; 200); wherein the annulus portion of the lower sidewall cover (175; 220; 320) has an inner diameter that is less than the first diameter, and wherein the annulus portion of the lower sidewall cover (175; 220; 320) has an outer diameter that is less than the second diameter, wherein a lower portion of the upper sidewall cover (150; 210; 310) is bent inwards towards the non-pneumatic tire (100; 200), and wherein an upper portion of the lower sidewall cover (175; 220; 320) is bent outwards away from the non-pneumatic tire (100; 200); an upper sidewall cover (150; 210; 310) having an annulus shape that covers a portion of the first side of the support structure , wherein the upper sidewall cover (150; 210; 310) has an inner diameter that is less than the outer diameter of the annulus portion of the lower sidewall cover (175; 220; 320). <EOS>