If the strain of a body (ϵ) and its Young’s modulus (E) is known, then their product would give the stress developed (σ) in it. Join Yahoo Answers and get 100 points today. (i.e) stress α strain Stress / Strain = a constant, known as modulus of elasticity. Question is ⇒ Whenever a material is loaded within elastic limit, stress is _____ strain., Options are ⇒ (A) equal to, (B) directly proportional to, (C) inversely proportional to, (D) indirect proportional to, (E) , Leave your comments or Download question paper. This restoring force opposes the deformation force and tries to maintain the original dimensions of the material. Where τ is the sheer stress and ф is the sheer strain and C is the modulus of rigidity. It is used as a fundamental principle behind manometer, spring scale and balance wheel of the clock. Similarly, If we draw the stress-strain curve for mild steel under tension test for static loading condition, then we see that till the proportional limit Hooks law is valid. Much of my senior friends said that they also faced the same confusion and ultimately agreed to 'proportional limit'. Hooke’s law states that stress is proportional to strain upto elastic limit. According to Hooke’s law, when a body is subjected to tensile stress or compressive stress, the stress applied is directly proportional to the strain within the elastic limits of that body. "Proportional limit" means exactly what it sounds like it means: The point beyond which Hooke's law is no longer a good approximation. Where did it come from? D) Directly proportional to square of the strain. δl = Wl 2 /2E. STRESS ON A BAR DUE TO ITS OWN WEIGHT. If I is the stress induced in a material and e the corresponding strain, then according to Hooke’s law, ... Modulus of Rigidity is the ratio of shear stress to shear strain within elastic limit. What is the maximum speed at which the car could be moving and not hit the barrier 41.0 m ahead? The proportional limit is the point on a stress-strain curve where the linear, elastic deformation region transitions into a non-linear, plastic deformation region. 3. Now consider the elasticity in only one dimension. Whenever a material is loaded within elastic limit, stress is __________ strain. For an isotropic, homogeneous and elastic material obeying Hooke’s law, the number of independent elastic constants is ____________ Stress / Strain = a constant, known as modulus of elasticity. After that, plastic deformation starts and validity of Hooke’s Law lost. The law formulated on the basis of this study is known as Hooke's law. What happens if you apply the car's brake and accelerator while on the road? Draw graph of restoring force versus elongation for the spring. What is the terminal velocity of the average diahrrea? “Within the elastic limit, the stress applied is proportional to the strain produced”. This straight-line shows that elongation of a spring is directly proportional to the applied force.so we can conclude that this spring-mass system follows Hooke’s Law. Hooke’s law states that, within elastic limit stress applied is directly proportional to strain. New mom McCain shares pregnancy photos for 1st time, Here's what's in the new stimulus package, Berkley reflects on famous 'Saved by the Bell' scene. a) Equal to b) Directly proportional to c) Inversely proportional to d) None of these Within elastic limit the shear stress is directly proportional to sheer strain. Till proportional limit Hooke's law is valid or obeyed.Till elastic limit a wire will revert to its original shape. That is because the proportionality between stress and strain isn't a universal law even for elastic materials. In other words, the proportional limit determines the greatest stress that is directly proportional to strain. The elastic limit nearly coincides with the proportional limit for some elastic materials, … or, stress = constant x strain. It is used in breathing (lungs), skin, spring beds, diving boards and cars suspension system. 1.3k VIEWS. Within the elastic limit, stress is directly proportional to strain. This is called Hooke’s law. Where τ is the sheer stress and ф is the sheer strain and C is the modulus of rigidity. $\frac{stress}{strain}=constant(E)$ where, the proportionality constant (E) is known as modulus of elasticity. Hooke’s law may also be expressed in terms of stress and strain. What is stress? Within the elastic zone, the increase in strain is directly proportional to stress. This linear relation between elongation and the axial force causing was first noticed by Sir Robert Hooke in 1678 and is called Hooke's Law that within the proportional limit, the stress is directly proportional to strain or Stress is directly proportional to the Strain. 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