Dear aspirant,
Hope you are doing well. As per your query no, there is no B.Arch department in Shastra deemed to be University. The only courses they offer are B. Tech, MBA, B.Com, Msc, BBA and MCA. Please click on the link below for more information and updates. Hope you find this helpful. Thank you.
https://www.careers360.com/university/shanmugha-arts-science-technology-research-and-academy-thanjavur
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