Which rod experiences the largest shear stress? Solution: The shear stresses in both are identical because a hydrostatic pressure has no shear component. Find the three principal stresses when it is loaded under a tensile force of 40 N and an internal pressure of kPa. Gauge A is parallel to the x-axis and gauge C is parallel to the y-axis. The third gage, B, is at 30 to gauge A.

Find the value of xy. Find the principal strains in the plane of the surface. Sketch the Mohrs circle diagram. Solution: Let the B gauge be on the x axis, the A gauge on the x-axis and the C gauge on 2 2 x e y the y-axis.

Find the principal stresses in the part of problem if the elastic modulus of the part is GPa and Poissonss ratio is 0. Find the state of stress on most of the outer surface. Find the state of stress at the edge of the outer surface. E t Solution: a. Find a. After applying a compressive load of N to the ends. What internal pressure is required to cause yielding according to a the Tresca criterion.

Solution: a The ratio of the tube diameter to wall thickness is very large, so it can be treated as a thin wall tube. The stress caused by the pressure can be found by x- and y- direction force balances. There are two possibilities which must be checked.

Show More. Seunghyun Lee. No Downloads. Views Total views. Actions Shares. Embeds 0 No embeds. No notes for slide. Solution manual 4 6 1. Chapter 4 Determine the instability strain in terms of n for a material loaded in tension while subjected to a hydrostatic pressure P. If the initial diameter is do, find the diameter, d, at the highest pressure.

The steel may be considered rigid and the friction between the aluminum and the steel may be neglected. Solution: This is a plane-strain situation. Find the dimensions r and t in terms of the original dimensions ro and to at maximum pressure. For such a condition, catastrophic expansion would occur. Solution: Assume a fixed amount of gas and neglect any temperature changes. Consider what this equation predicts about how the pressure in a spherical rubber balloon varies during the inflation. Solution: Plotting.

Find the principal strains in the plane of the surface. Find the state of stress on most of the outer surface. Find the state of stress at the edge of the outer surface. Find a. After applying a compressive load of N to the ends. What internal pressure is required to cause yielding according to a the Tresca criterion. Solution: a The ratio of the tube diameter to wall thickness is very large, so it can be treated as a thin wall tube. The stress caused by the pressure can be found by x- and y- direction force balances.

Justify your answer. The value of the left hand sides are not affected if each principal stress is increased the same amount. Consider an x-direction tension test. We can also think about an x-direction compression test. The tube is 2 m. In service it will experience an axial load of 8 kN and a torque of 2. What is the maximum internal pressure it can withstand without yielding according to a the Tresca criterion, b the von Mises criterion? For this solution, stresses will be expressed in ksi.

Assume the von Mises criterion. Vinayak Bhustalimath. Serawit Tadesse. Gatesolutions Metallurgy. Hemavathy Rt. Evan Steadman. Punith Ml. Rahul Pandey. Yaw Ofori Nyantakyi. Karthick Sivaraman. Popular in Science And Technology.

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