homework4 - of the global Euler buckling load P cr column(b...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
2.081J/16.230J Plates and Shells Homework #4 Due date: class on Monday March 13 Problem 1 Develop an optimal design for a steel and aluminum panel. l = 40 m longitudinal stiffeners are shown. The material properties are given the following table: cr P 5 w m = Here, as an example, only three uniform thickness, 0.01 h m = Steel (s) Aluminum (a) E 210 GPa 70 GPa σ y 300 MPa 300 MPa ρ 7800 kg/m 3 2700 kg/m 3 (a) Calculate the e f ective width for steel and aluminum panels, ( b eff ) s and ( b eff ) a . (b) Determine the number of longitudinal sti f eners for optimal design in each case, N s and N a . (c) Find the maximum total force that the panel can support, ( P u ) s and ( P u ) a . (e) Compute the weight of the steel and aluminum panels, W s and W a (with- out counting the weight of sti f eners). Note that we know from practice that optimum sti f eners will weigh approxi- mately the same as the plate to which they are attached. 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Problem 2 Consider a cold-form steel ( E =210 GP a , ν =0 . 3 ) open channel sec- tion column. where b 1 =0 . 1 m , b 2 =0 . 05 m , l =3 . 5 m ,and h =0 . 001 m . (a) Determine the magnitude
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: of the global Euler buckling load, ( P cr ) column . (b) Determine the local plate buckling load, ( P cr ) plate . (c) Replace now the open channel section with a closed rectangular section by adding (welding) additional top plate with the same thickness, h . How much will the global and local buckling load increase? (d) For the rectangular section, can you come up with an optimal solution in which the local and global buckling loads are the same? Here, keep the length of the fl anges ( b 1 and b 2 ) unchanged, but change the thickness of the section. (e) What will be the percentage of weight advantage and possible gain or loss in strength? 2...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

homework4 - of the global Euler buckling load P cr column(b...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online