Does load rating affect minimum safe air pressure in tires?

[sonrider657]

Since higher load rated tires have stronger sidewalls, can they be safely aired down to lower pressure than comparable tires with a lower load rating without risking de-beading?

I have E-rated tires but should have gotten C-rated tires. Can I run a lower tire pressure to make up the difference when off-roading?

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[Ratbert]

In theory: yes. Note that your sidewalls won't flex like a C or D due to their rigidity.