AE304_spring10_HW2

# AE304_spring10_HW2 - H omework 2

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: H omework 2   AE304 – Aircraft Structures I – Spring 2010  Due: Monday, February 1, 2010  Exercise 1:   The  state  of  stress  at  a  point  in  a  cast‐iron  structure  (σut  =  290  MPa  and  σuc  =  650  MPa,  and  ν  =  0.23)  is  described by  σy  =  ‐ 180 MPa and   τxy = 200 MPa. Determine whether the failure occurs at the point, according  to  the  (a)  maximum  principal  stress  criterion,  (b)  strain  energy  density  criterion  and  (c)  Coulomb‐Mohr  criterion.  Exercise 2:  A thin‐walled cylindrical pressure vessel having radius r = 300 mm and a wall thickness t = 12 mm is subjected  to an internal pressure of p = 2.5 MPa. In addition, a torque T = 120 kN.m acts at each end of the cylinder (see  figure below).   1. Determine the maximum tensile stress σmax and the maximum shear stress τmax in the cylindrical wall  2. If the allowable in‐plane shear stress is 30 MPa, what is the maximum allowable torque T?        Figure 2    Figure 3  Exercise 3:  A structural member is  subjected to combined loading such that the  state of  stress  given in Figure 3  occurs at  the  critical  point.    The  tensile  yield  strength  of  the  material  is  300  MPa.  Determine  the  factor  of  safety  n  according to (a) maximum shearing stress theory and (b) maximum energy distortion theory  Exercise 4:  A 100‐mm diameter bar shown in Figure 4 is made of steel  with a yield stress  σY = 420 MPa. The free end  of  the  bar  is  subjected  to  loads  5  P  in  x‐direction  and  2  P  in  z‐direction.  If  the  bar  was  design  with  a  factor  of  safety  of  2.0,  determine  the  magnitude  of  P  that  initiates  yielding  at  point  A,  based  on  (a)  the  distortional  energy density criterion and (b) maximum shearing stress criterion.  Figure 4    ...
View Full Document

## This note was uploaded on 04/12/2011 for the course AE 304 taught by Professor Lestari during the Fall '10 term at Prescott College.

Ask a homework question - tutors are online