Principal Stresses Principal stresses come into play under complex loading i.e. when a body is under normal and shear stresses. Principal planes (i) Principal planes are at right angles to each other and are given by tan2θpp = 2 τ/( σx — σy) In this σx and σy are assumed to be tensile. Two values of tan 2θ […]
Principal stresses-Assignment At a point in an elastic material under strain, the stresses on three mutually perpendicular planes are follows: A normal tensile stress of 60 N/mm2 and a shear stress of 40 N/mm2 on one plane, a normal compressive stress of 40 N/mm2 and a complementary shear stress of 40 N/mm2 on the other […]
https://www.mesubjects.net/wp-admin/post.php?post=4378&action=edit MCQ Theories elastic failure https://www.mesubjects.net/wp-admin/post.php?post=4367&action=edit MCQ springs https://www.mesubjects.net/wp-admin/post.php?post=4290&action=edit MCQ Bending stresses https://www.mesubjects.net/wp-admin/post.php?post=4236&action=edit MCQ SF and BMD-2 https://www.mesubjects.net/wp-admin/post.php?post=4231&action=edit MCQ SF & BMD-1 https://www.mesubjects.net/wp-admin/post.php?post=4227&action=edit MCQ P. Stresses-2 https://www.mesubjects.net/wp-admin/post.php?post=4221&action=edit MCQ Composite sections MCQ: Principal stresses- 2 Mohr’ s circle is a graphical method to find (a) Bending stresses (b) Principal stresses (c) Torsional shear stresses (d) None […]
https://www.mesubjects.net/wp-admin/post.php?post=4227&action=edit MCQ P. Stresses-2 https://www.mesubjects.net/wp-admin/post.php?post=4221&action=edit MCQ Composite sections MCQ : Principal stresses-1 A principal plane is a plane of (a) Zero tensile stress (b) Zero compressive stress (c) Zero shear stress (d) None (Ans: c) A principal plane is a plane of (a) Only normal stress (b) Only shear stress (c) Only bending stress (d) […]
Short Interview Question Answers- Principal stresses Q. What is angle of obliquity? A. Any plane is to be under complex stress if it has a normal and shear stress simultaneously. Then there will be a resultant stress. The angle between the resultant and normal stress is called the angle of obliquity and is represented […]
Mohr’s Stress circle-2 GRAPHICAL METHOD: MOHR’S STRESS CIRCLE METHOD We know from the analytical method that σθ = (σx + σy)/2 + ((σx — σy)/2) (Cos2θ) + τ Sin2θ τθ = (( σx — σy)/2) (Sin2θ) — τ Cos2θ Square and add, we get the equation of a circle as given below. [σθ – (σx — σy)/2)]2 +τ2 = [(1/2) (σx — σy) […]
Ellipse of Strain ELLIPSE OF STRAIN It is the locus of the resultant strain on the infinite inclined planes within a body under principle strains. It is a graphical method to find the resultant strain and the angle of obliquity on a given inclined plane (with the plane of major principal strain). CONSTRUCTION Being […]
Ellipse of stress Introduction Ellipse of stress is used to find resultant stress and the angle of obliquity on any plane within a stressed body. In 2-D, it is called ellipse of stress . In 3 D it is called ellipsoid of stress. Actually all bodies are 3-D. All stress systems are also 3-D. But […]
Mohr’s Stress Circle -1 GRAPHICAL METHOD: MOHR’S STRESS CIRCLE METHOD We know σθ = (σx + σy)/2 + ((σx — σy)/2) (Cos2θ) + τ Sin2θ τθ = (( σx — σy)/2) (Sin2θ) — τ Cos2θ Square and add, we get the equation of a circle as given below. [σθ – (σx — σy)/2)]2 +τ2 = [(1/2) (σx — σy) + 4τ2 ]1/2 Thus […]
PRINCIPAL STRESSES Number of forces are acting simultaneously almost on each body. Thus, it is complex loading condition. When these forces increase, a body fails by a simple principal stress or by maximum shear stress. COMPLEX STRESS SYSTEM When normal and shear stresses act simultaneously on an area (plane), it is called a complex […]