Question

Direct stresses of 120 N/mm² (tcnsion) and 90 N/mm² (compression) are applied at a particular point in an elastic material on two mutually perpendicular planes. The principal stress in the material is limited to 100 N/mm (tension). Cakulate the allowable value of shear stress at the point on the given planes. Determine also the value of the other principal stress and the maximum value of shear stress at the point using Mohr's circle.

Answer 1

ɪɴᴇʀᴛɪᴀ ɪꜱ ᴛʜᴇ ʀᴇꜱɪꜱᴛᴀɴᴄᴇ ᴏꜰ ᴀɴʏ ᴘʜʏꜱɪᴄᴀʟ ᴏʙᴊᴇᴄᴛ ᴛᴏ ᴀɴʏ ᴄʜᴀɴɢᴇ ɪɴ ɪᴛꜱ ᴠᴇʟᴏᴄɪᴛʏ. ᴛʜɪꜱ ɪɴᴄʟᴜᴅᴇꜱ ᴄʜᴀɴɢᴇꜱ ᴛᴏ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ'ꜱ ꜱᴘᴇᴇᴅ, ᴏʀ ᴅɪʀᴇᴄᴛɪᴏɴ ᴏꜰ ᴍᴏᴛɪᴏɴ. ᴀɴ ᴀꜱᴘᴇᴄᴛ ᴏꜰ ᴛʜɪꜱ ᴘʀᴏᴘᴇʀᴛʏ ɪꜱ ᴛʜᴇ ᴛᴇɴᴅᴇɴᴄʏ ᴏꜰ ᴏʙᴊᴇᴄᴛꜱ ᴛᴏ ᴋᴇᴇᴘ ᴍᴏᴠɪɴɢ ɪɴ ᴀ ꜱᴛʀᴀɪɢʜᴛ ʟɪɴᴇ ᴀᴛ ᴀ ᴄᴏɴꜱᴛᴀɴᴛ ꜱᴘᴇᴇᴅ, ᴡʜᴇɴ ɴᴏ ꜰᴏʀᴄᴇꜱ ᴀᴄᴛ ᴜᴘᴏɴ ᴛʜᴇᴍ.