Whakamahia te rerenga e whai ake nei: I tino mōhiotia a Armsby i a ia e ora ana. I whakawhiwhia ia ki nga tohu honore mai i te Whare Wananga o Wisconsin (1904), Whare Wananga o Yale (1920), me te Whare Wananga o Worcester Polytechnic (1921). I pootihia ia hei mema o te National Academy of Sciences, te Royal Society of Arts, me te Royal Swedish Academy of Agriculture and Forestry. I whakawhiwhia ki a ia he mētara koura i te
Panama-Pacific International Exposition i te tau 1915 mo tana tauira o te calorimeter i hangaia e ia i Penn State. I kīia e tētahi pūrongo a te Tari Ahuwhenua o Amerika, ko ia "te kaiārahi matua o te rangahau i te mara o te kai kararehe i te whenua, ā, he mana ā-ao".