Answered: ly y d b bl (а) (b)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A thin square plate in biaxial stress is subjected
to stresses σ_x and σ_y, as shown in part a of
the figure. The width of the plate is b =12.0 in.
Measurements show that the normal strains in
the x and y directions are ε_x = 427x10^-6 and ε_x =113x10^-6 , respectively.
With reference to part b of the figure, which
shows a two-dimensional view of the plate, determine
the following quantities.
(a) The increase Δd in the length of diagonal Od.
(b) The change Δϕ in the angle ϕ between diagonal
Od and the x axis.
(c) The shear strain g associated with diagonals Od
and cf (that is, find the decrease in angle ced).

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