Chapter 2: Materials
𝜎𝑚𝑎𝑥 = 𝜎𝑥 + 𝜎𝑦
𝜎1,2 =
𝜎𝑥 + 𝜎𝑦
𝜎𝑥 − 𝜎𝑦 2
± √(
) + 𝜏𝑥𝑦 2
2
2
𝜎𝑚𝑎𝑥 2
) + 𝜏𝑥𝑦 2
2
𝜏𝑚𝑎𝑥 = √(
Chapter 3: Load and Stress Analysis
Two-Plane Beam Bending
⃑⃑ = 𝑟 𝑥 𝐹 ; 𝑇
⃑ =𝑟𝑥𝐹
𝑀
𝐹
𝑉
𝜎 = 𝐴 ; 𝜏 = 𝐴 ; 𝐸 = 2𝐺(1 + 𝜈)
𝜏𝑚𝑎𝑥 =
𝑇𝑟
𝑀𝑐
; 𝜎𝑚𝑎𝑥 =
𝐽
𝐼
In case of more than M acting on the same
point then
total M=√𝑀12 + 𝑀22
For Solid, Round Bars
32𝑀
16𝑇
𝜎𝑚𝑎𝑥 = 𝜋𝐷3 ; 𝜏𝑚𝑎𝑥 = 𝜋𝐷3