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Hampton

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PROBLEM 1 - Elasticity

PROBLEM 2 – Plasticity and Deformation

PROBLEM 3 - Creep

A chemical reaction chamber, similar to the one shown below, is made of type 304 stainless steel. The cover bolts of the chamber, which are made of the same steel, are pre-tensioned at room temperature to a stress of 10,000 psi. The service temperature of this chamber is 1100°F. How long can the chamber be used at this temperature before the stress in the bolts drops below 5,000 psi at the operating temperature? . It may be assumed that the deflection of the flanges during the tightening is negligible compared to the extension of the bolts. This implies that the total strain remains constant throughout the life of the chamber. . You may assume a constitutive law for creep for 304 stainless steel of the form: ������ ������ = ������������ ������������
������

������������������

−������ ������������

where σo = 62 psi, m = 8, H = 5.85 x 10-18 in-lb, k = Boltzmann’s constant (6.79x10-23 in-lb/°R, °R = °F + 460) Note: The elastic modulus of the steel varies with temperature. ERT = 29 x 106 psi E1100°F = 22.3 x 106 psi

PROBLEM 4 - Fracture a) In this class we talked about both a “stress intensity factor” and a “stress concentration factor”. Describe briefly what both these terms refer to (giving their dimensions and units) and how they are different. A good approximation for stress intensity factors (KI) associated with crack growing from notch roots within regions of stress concentrations is based on an interpolation of KI for very long and very short crack lengths relative to the notch size. Consider the following example, with reference to Figure 4.1: i. For long cracks (a/c >> 1), we expect little effect from the hole so we may approximate KI with the stress intensity factor for a center crack inside an infinite body under a global stress of σ∞. ii. For short cracks (l/c

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