The maximum gage presuure is known to be 10 mpa in a spherical steel pressure vessel having a 200 mm outer diameter and a 6 mm wall thickness. knowing that the ultimate stress in the steel used is 400 mpa determine the factor of safety with respect to tensile failure

Explanation:

Given:

maximum gauge pressure in the steel ,

outer diameter of the vessel,

wall thickness of the vessel,

ultimate stress of the steel,

We first check the type of shell:

so the vessel is a thin shell.

Now the maximum tensile stress in the vessel due to maximum pressure is given as:

Now the factor of safety:

1 the 4 is sig

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2