alt gro ctri AAngler Point C A-direction stress GOMPA y-direction otress negattue shear (tensron) (compredsion) 30 M Pa stren for polint C the determine the following for indicated 4 plane o the augle I.(30" 20,60). show all calculat ons Praw the orientatiO a of the stress block for this Gcenario .

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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a
ctri
Argler
Jyt
人
Bay
Point C
A-direction stress 6OMPG
y-direction st reas
otren
(tension)
40MPa [ compreduion)
30 MPa
negative shear
a) for
point C
the
determine the following for
61 the mdicated
y plane
ang le I.(30° 20
60°). Show all calculations
Draw
the orientatiO a of the stress block for
this
Gcenario
Transcribed Image Text:ctri Argler Jyt 人 Bay Point C A-direction stress 6OMPG y-direction st reas otren (tension) 40MPa [ compreduion) 30 MPa negative shear a) for point C the determine the following for 61 the mdicated y plane ang le I.(30° 20 60°). Show all calculations Draw the orientatiO a of the stress block for this Gcenario
Expert Solution
Step 1: Solution

Given:

At point C,σx=60 MPa   σy=-40 MPa   and shear styress ζxy=-30 Mpa Normal stress at an angle   θ  (θ is the angle from the σx  plane)Normal sterss,  σx'=σx+σy2+σx-σy2cos(2θ)+ζxysin(2θ)Shear stress,  ζxy'=σy-σxy2sin(2θ)+ζxycos(2θ)

 

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