These beam solutions are taken from (
NASA TM X-73305, 1975) Table B4.6.2
Where:

Note that these methods do not predict beam column failure, these methods only the internal loads and moments in the beam. To predict the stability failure of a beam column the method in section 15.3.6 should be used.

AA-SM-026-111 Beam Analysis – Compression Flexure – Cantilever Point Load at End 2.
AA-SM-026-112 Beam Analysis – Compression Flexure – Cantilever, UDL 
AA-SM-026-113 Beam Analysis – Compression Flexure – Simply Supported Both Ends, Midspan Point 4.
AA-SM-026-114 Beam Analysis – Compression Flexure – Simply Supported Both Ends, UDL 
AA-SM-026-116 Beam Analysis – Compression Flexure – Simply Supported Both Ends, Triangular Load7.
AA-SM-026-117 Beam Analysis – Compression Flexure – Simply Supported and Similar Moment Both Ends 
AA-SM-026-118 Beam Analysis – Compression Flexure – Simply Supported and Different Moment Both Ends 9.
AA-SM-026-119 Beam Analysis – Compression Flexure – Fixed Both Ends, Midspan Load 

