Explanation:
Step1
In the stress-strain curve of any material, the yield stress is the maximum stress at which material starts yielding.
Step2
Young’s modulus is the constant of proportionality of stress and strain according to hooks law. It is the slope of the slope of the stress-strain curve of the any material under proportional limit.
Step3
Ultimate tensile stress is the maximum stress that induced in the material under application of load.
Step4
Toughness is the strain energy per unit volume up to the fracture point of the stress-strain diagram of any material. This is the area under the curve of stress-strain.
Step5
Point of necking is the point where any material starts necking under application of load in necking region of the stress-strain curve.
Step6
Fracture point is the last point of the stress-strain curve where component fractures under application of load.
All the parameters are shown in below stress-strain curve:
Answer:
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Answer: r = 0.8081; s = -0.07071
Explanation:
A = (150i + 270j) mm
B = (300i - 450j) mm
C = (-100i - 250j) mm
R = rA + sB + C = 0i + 0j
R = r(150i + 270j) + s(300i - 450j) + (-100i - 250j) = 0i + 0j
R = (150r + 300s - 100)i + (270r - 450s - 250)j = 0i + 0j
Equating the i and j components;
150r + 300s - 100 = 0
270r - 450s - 250 = 0
150r + 300s = 100
270r - 450s = 250
solving simultaneously,
r = 0.8081 and s = -0.07071
QED!
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