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E10.5 Deriving shape factors for stiffness-limited design (Figure E10.4). Derive the expression for the shape-efficiency factor for stiffness-limited design for a square box section of wall thickness t, and height and width h₂ = 10 t bent about its major axis (the dash- dot line in Figure E10.4). Do not assume that the thin-wall approximation is valid. For a thin-wall beam (h,b >> t) shown below b h 0 VA Show that the shape factor = h₂=10t 1h (1 + 3b/h) 2t (1+b/h)² h₂ = 8t 10t Figure E10.4 30 B

E10.5 Deriving shape factors for stiffness-limited design (Figure E10.4). Derive the expression for the shape-efficiency factor for stiffness-limited design for a square box section of wall thickness t, and height and width h₂ = 10 t bent about its major axis (the dash- dot line in Figure E10.4). Do not assume that the thin-wall approximation is valid. For a thin-wall beam (h,b >> t) shown below b h 0 VA Show that the shape factor = h₂=10t 1h (1 + 3b/h) 2t (1+b/h)² h₂ = 8t 10t Figure E10.4 30 B

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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E10.5 Deriving shape factors for stiffness-limited design (Figure E10.4). Derive the expression for the shape-efficiency factor for stiffness-limited design for a square box section of wall thickness t, and height and width h₂ = 10 t bent about its major axis (the dash- dot line in Figure E10.4). Do not assume that the thin-wall approximation is valid. For a thin-wall beam (h,b >> t) shown below h 0% VA Show that the shape factor = h₂ = 10t 1h (1 + 3b/h) 2t (1 + b/h)² h₂ = 8t 10t Figure E10.4 e
Transcribed Image Text:E10.5 Deriving shape factors for stiffness-limited design (Figure E10.4). Derive the expression for the shape-efficiency factor for stiffness-limited design for a square box section of wall thickness t, and height and width h₂ = 10 t bent about its major axis (the dash- dot line in Figure E10.4). Do not assume that the thin-wall approximation is valid. For a thin-wall beam (h,b >> t) shown below h 0% VA Show that the shape factor = h₂ = 10t 1h (1 + 3b/h) 2t (1 + b/h)² h₂ = 8t 10t Figure E10.4 e
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