Problem 2 (20 pts):

A thin-walled tube (closed-cap) is made of a unidirectional composite with fiber oriented at 45⁰

to its axis as shown below. The tube has a radius of r= 50.0 mm and a thickness t = 1.0 mm.

The tube is to be loaded under combined internal pressure P = 1.0 MPa and a torque of T =

780,000 N-mm. The strength data for the lamina are: X=2800 MPa; X = 1600 MPa; Y₁ = 80

MPa; Ye280 MPa; S = 90 MPa.

Please evaluate whether failure would occur using 1) maximum stress criterion; 2) Tsai-Hill

criterion; 3) Tsai-Wu criterion; and 4) Hashin's criterion.

(if you use computer programs your solution must include code and outputs)

WIE