Question

The stepped rod shown below is made of three uniform elements. The rod was intended to be welded to, and exactly fit between, the rigid walls at A and D. However, member 2 was manufactured an amount d2 too short. First the entire rod is stretched so that its ends can be welded to the rigid walls. Then, an axial load PB is applied to the rod at B and member (3) is heated by an amount AT3. Write a computer program to find: (a) the displacements at points B and C from the intended original locations of these points; (b) the internal forces in the three elements. UB A₂ E2 Az Ez ALE PA PD (2) (3) A Pв В C D to L L L3 Illustrate the use of your computer program with PB = 10 kips, AT3=-100 °F, 82= 0.01 in, and the following physical data: Element 1: Area= 2 in?; Length=30 in; Young's Modulus=15x10' ksi Element 2: Area= 1.5 in?; Length=20 in; Young's Modulus=30x10 ksi Element 3: Area= 1.0 in?; Length=20 in; Young's Modulus=30x10 ksi; Coefficient of Thermal Expansion=7x10-6/0F

Answer 1

E, E 103421 x cos N/man? PAGEI resolution :-) the fo Considering figure from the question pasenetes se, conditions with tu. AzE3 ALEZ PA © Poi 3 Li La Iz. * sk Here A = 2inch ² = 2y6450 - 1290.32 mm? La zoinch - 762 mm Azt sinch² = 96.7 75 mm L2 20inch 508mm = 206842x105 Wimm E2 =695. 16 mm² Az = linch? 2z = zoinch - sosna Ez = 206892 х18 N/m Ps= 7084448.2 = 46682-2200

82 PAGE-2 L Slza IX235 x 100 x 508 = -0.3556mm. 812 = oolinch -0.256 mm -0.101mm, Pillowed chage in fength SQ = (84Ag+ (Si loc +489) PAx4 IPA + Poh Both +0.1016 f AE A2E2 Az Ez (PA-45482-12) s08 0.10183 -PA XA62 1260.371.0 32. xi 969.7472.06842 t 508 Pot 645,46 2.068428705 o. o s = $2( có 1x10 OPA-PA x 2.537x108 to. 1122 + 3.806x0P (-8.241 P + 3+806 Polx10! 0.2745= Now. PA + Prze Pozo Po + Pner -44482-1

PAGE} PA = -31834.00 N Por 1264billa Reconcession in Again Kit PA = -7.15 kips Poe - 2.8 434 Kips The displacement et point Bic Teles 0.olin 189) = 0.3556 mm= d.ollinch PLEASE UPVOTE * It isulis much necessaly for ment: