Test 1 Problems with Solution - Thin-Walled Structures | AOE 3024, Exams of Aerospace Engineering

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4 g, oO PROBLEM I: For the thin-walled cross section, ¢ « #, shown in the sketch determine; a) Location of the centroidal x axis, ¥=?. =? b) Second moment of the area about the centroidal x axis, /,, =?. PROBLEM 2: For the thin-walled cross section, 1 << /, shown in the sketch, the second moment of the area w.r.t. the centroidal axis is: /,, =P (12. The section is under the action ofa vertical shear force /, > 0. a) Determine the shear flow distribution in the web (vertical element). b) Determine the shear flow distribution in the horizontal flange. PROBLEM 3: For the beam and leading shown, a) Derive the expression for the shear force and bending moment in ff sections AC and CD. 1? x W> >) Draw the shear force and bending moment diagrams for the entire beam, and determine the maximum absolute value of the bending moment. PROBLEM 4: State of stress at a point in a structural component is shown on a differential element, a) Write the stress tensor, and determine the magnitude of the principal stresses in terms of the load factor p. b) Use von Mises failure criterion to determine the value of p that will cause failure, o, = 300 MPa. 160 AOE 3024: THIN-WALLED STRUCTURES FALL 2001 TEST -1 Thursday, October 18 NAME: PLEDGE: t” x h Cex Ws ~ “i " tr c 25p 25p Ao alk mits arein MPa