Ex. No:Date : BUCKLING FAILUREProblem Description: A dog-bone shaped specimen is examined for static, fatigue, and bucklingfailures. The specimen is made of structural steel with geometric dimensions shown below. Thebottom face of the specimen is fixed, and the top face of the specimen is applied a static pressureload of 50 Ma. !a" #etermine whether or not the specimen undergoes plastic deformation under the gi$en staticpressure load. !b" %f the static pressure load is changed into a full& re$ersed c&clic load with a magnitude of 50Ma, find the life of the specimen, and also determine whether or not fatigue failure occurs inthe specimen assuming a design life of '0( c&cles.!c" #etermine whether or not the specimen buckles under the gi$en static pressure load, andobtain the first three buckling mode shapes.Solution steps for portion (A an B!:Step ": Start an ANS#S $or%&en'( )ro*e't)aunch A*+,+ -orkbench and sa$e the blank pro.ect as /#ogbone.wbp..0Step +: Create a Stati' Stru'tural Anal,sis S,ste-#rag the +tatic +tructural icon from the Anal&sis +&stems Toolbox window and drop it inside thehighlighted green rectangle in the ro.ect +chematic window.Step .: Laun'( t(e Desi/n 0oeler )ro/ra-#ouble-click the 1eometr& cell to launch #esign Modeler, and select /Millimeter0 in the 2nitspop-up window.Step 1: Create t(e Geo-etr,3lick on the +ketching tab. #raw a sketch of the dog bone shape on the 4, lane, as shownbelow. Anentit&named+ketch'will beshownunderneath4,laneof themodel5sTree6utline. 7xtrude +ketch' to create a 0.85 mm thick solid bod&, as shown below.Step 2: Laun'( t(e Stati' Stru'tural )ro/ra-#ouble-clickonthe Modelcellto launchthe +tatic+tructuralprogram. 3hange the2nitstoMetric !mm, kg, *, s, m9, mA".Step 3: Generate 0es(3lick on Mesh in the 6utline tree. %n the #etails of /Mesh,0 enter /0.5 mm0 for the 7lement+i:e. ;ight-click on Mesh and select 1enerate Mesh.Step 4: Appl, Bounar, Conitions;ight-click on +tatic +tructural !A5". 3hoose %nsert and then Max 7=ui$alent +tress. The initial &ielding in the test sample ma& be predicted b&comparing the maximum $on Mises stress in the specimen with the tensile &ield strengthof the specimen material. The +tress Tool is used here to show the safet& factor results. ;ight-clickon+olution!A(" andselect +ol$e. Thecomputedtotal deformation, $onMisesstressandsafet&factordistributionsareshownbelow.