Answer letter b. Show solution INTERNEALLOAD (kN)P1P2SEGMENTLENGTH (m)AREA (sq.mm)P3ABAB1.526014KN (T)2kN (T)aВС0.6260Figure 86CD0.92606kN (C)P, = 12 kN P2 = 8 kNRA = 14 kNP3 = 6 kNPLAB(14000N)(1500mm)(260mm²)(210 × 10³MPA)8 =AESAB= 0.3846mma = 1.5 mb = 0.6 mc = 0.9 m(2000N)(600mm)Figure 870.0220mm(260mm?)(210 × 10³MPA)(-6000N)(900mm)ScD= -0.0989mmB B'с сD' DA(260mm²)(210 × 10³MPa)a = 1.5 mSA8 b = 0.6 m|ôncc = 0.9 mSr = 8AB + ÔBC+ ScpFigure 88Sr = 0.3846mm + 0.0220mm – 0.0989mmBD'ST = 0.3077mmZoom||a14 of 29Figure 89 A steel bar AD has a cross-secțional area of 260 mm? and is loaded byforçes P, = 12 kN, P,=8 kN, and P3 = 6 kN. The lengths of the segmentsof the bar are a = 1:5 m, b = 0.6 m, and c =(ạ) Assuming that the modulus of elasticity E = 210 GPa, calculate thechange in length & of the bar. Does the_bar elongate or shorten?(b) By what amount P should the load P, be increased so that end D ofthe bar does not move when the loads aře applied?0.9 m.P1P2P3AВDaFigure 86

a) To find : The change in length δ of the bar . Given : The cross section area is A=260 mm2. The…

A steel bar AD has a cross-sectional area of 260 mm² and is loaded by forces P₁ = 12 kN, P₂ = 8 kN, and P₂ = 6 kN. The lengths of the segments of the bar are a = 1,5 m, b = 0.6 m, and c = 0.9 m. (a) Assuming that the modulus of elasticity E = 210 GPa, calculate the change in length 8 of the bar. Does the bar elongate or shorten? (b) By what amount P should the load P, be increased so that end D of the bar does not move when the loads are applied? A a B b P₁ Figure 86 C P₂ C D P3

A steel bar AD has a cross-sectional area of 260 mm² and is loaded by forces P₁ = 12 kN, P₂ = 8 kN, and P₂ = 6 kN. The lengths of the segments of the bar are a = 1,5 m, b = 0.6 m, and c = 0.9 m. (a) Assuming that the modulus of elasticity E = 210 GPa, calculate the change in length 8 of the bar. Does the bar elongate or shorten? (b) By what amount P should the load P, be increased so that end D of the bar does not move when the loads are applied? A a B b P₁ Figure 86 C P₂ C D P3

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.2P: A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two...

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