The document presents analytical methods for determining stresses on an oblique section of a body subjected to direct stresses in one plane and a shear stress. It defines equations to calculate the normal stress, shear stress, maximum shear stress, resultant stress, and principal stresses for an oblique cut through such a body. Several example problems are also presented.

1. BIBIN CHIDAMBARANATHAN
STRESS ON AN OBLIQUE
SECTION OF A BODY SUBJECTED
TO DIRECT STRESSES IN ONE
PLANE AND ACCOMPANIED BY A
SIMPLE SHEAR STRESS
1 BIBIN CHIDAMBARANATHAN, ASP/MECH, RMKCET 5/13

2. BIBIN CHIDAMBARANATHAN
ANALYTICAL
METHOD
2 BIBIN CHIDAMBARANATHAN, ASP/MECH, RMKCET 5/13

3. STRESS ON AN OBLIQUE SECTION OF A BODY
SUBJECTED TO DIRECT STRESSES IN ONE PLANE AND
ACCOMPANIED BY A SIMPLE SHEAR STRESS
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7. 7 BIBIN CHIDAMBARANATHAN, ASP/MECH, RMKCET 5/13

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9. STRESS ON AN OBLIQUE SECTION OF A BODY
SUBJECTED TO DIRECT STRESSES IN ONE PLANE AND
ACCOMPANIED BY A SIMPLE SHEAR STRESS
9 BIBIN CHIDAMBARANATHAN, ASP/MECH, RMKCET 5/13

10. Normal stress across the section AB
𝜎𝑛 =
𝜎𝑥
2
−
𝜎𝑥
2
cos 2𝜃 − 𝜏𝑥𝑦 𝑆𝑖𝑛 2𝜃
Shear stress (tangential stress) across the section AB
𝜏 =
𝜎𝑥
2
sin 2𝜃 − 𝜏𝑥𝑦 𝐶𝑜𝑠 2𝜃
Maximum shear stress
𝜏𝑚𝑎𝑥 =
𝜎𝑥
2
2
+ 𝜏𝑥𝑦
2
Resultant stress
𝜎𝑅 = 𝜎𝑛
2
+ 𝜏2
Direction of Resultant stress
𝜃𝑅 = tan−1
(
𝜏
𝜎𝑛
)
10 BIBIN CHIDAMBARANATHAN, ASP/MECH, RMKCET 5/13

11. Maximum principal stress
𝜎𝑝1 =
𝜎𝑥
2
+
𝜎𝑥
2
2
+ 𝜏𝑥𝑦
2
Minimum principal stress
𝜎𝑝2 =
𝜎𝑥
2
−
𝜎𝑥
2
2
+ 𝜏𝑥𝑦
2
Direction of Maximum shear stress
𝜃𝑠 =
1
2
tan−1(
𝜎𝑥
2𝜏𝑥𝑦
)
11 BIBIN CHIDAMBARANATHAN, ASP/MECH, RMKCET 5/13

12. BIBIN CHIDAMBARANATHAN
PROBLEMS
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18. Thank You
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