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(b) By what amount P should the load P, be increased so that end Di the bar does not move when the loads aře applied? P1 P2 P3 A D a Figure 86

(b) By what amount P should the load P, be increased so that end Di the bar does not move when the loads aře applied? P1 P2 P3 A D a Figure 86

Structural Analysis
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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INTERNEAL LOAD (kN) P1 P2 SEGMENT LENGTH (m) AREA (sq.mm) P3 A B AB 1.5 260 14KN (T) 2kN (T) a ВС 0.6 260 Figure 86 CD 0.9 260 6kN (C) P, = 12 kN P2 = 8 kN RA = 14 kN P3 = 6 kN PL A B (14000N)(1500mm) (260mm²)(210 × 10³MPA) 8 = AE SAB = 0.3846mm a = 1.5 m b = 0.6 m c = 0.9 m (2000N)(600mm) Figure 87 0.0220mm (260mm?)(210 × 10³MPA) (-6000N)(900mm) ScD = -0.0989mm B B' с с D' D A (260mm²)(210 × 10³MPa) a = 1.5 m SA8 b = 0.6 m|ônc c = 0.9 m Sr = 8AB + ÔBC+ Scp Figure 88 Sr = 0.3846mm + 0.0220mm – 0.0989mm B D' ST = 0.3077mm Zoom || a 14 of 29 Figure 89
Transcribed Image Text:INTERNEAL LOAD (kN) P1 P2 SEGMENT LENGTH (m) AREA (sq.mm) P3 A B AB 1.5 260 14KN (T) 2kN (T) a ВС 0.6 260 Figure 86 CD 0.9 260 6kN (C) P, = 12 kN P2 = 8 kN RA = 14 kN P3 = 6 kN PL A B (14000N)(1500mm) (260mm²)(210 × 10³MPA) 8 = AE SAB = 0.3846mm a = 1.5 m b = 0.6 m c = 0.9 m (2000N)(600mm) Figure 87 0.0220mm (260mm?)(210 × 10³MPA) (-6000N)(900mm) ScD = -0.0989mm B B' с с D' D A (260mm²)(210 × 10³MPa) a = 1.5 m SA8 b = 0.6 m|ônc c = 0.9 m Sr = 8AB + ÔBC+ Scp Figure 88 Sr = 0.3846mm + 0.0220mm – 0.0989mm B D' ST = 0.3077mm Zoom || a 14 of 29 Figure 89
A steel bar AD has a cross-secțional area of 260 mm? and is loaded by forçes P, = 12 kN, P,=8 kN, and P3 = 6 kN. The lengths of the segments of the bar are a = 1:5 m, b = 0.6 m, and c = (ạ) Assuming that the modulus of elasticity E = 210 GPa, calculate the change 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 of the bar does not move when the loads aře applied? 0.9 m. P1 P2 P3 A В D a Figure 86
Transcribed Image Text:A steel bar AD has a cross-secțional area of 260 mm? and is loaded by forçes P, = 12 kN, P,=8 kN, and P3 = 6 kN. The lengths of the segments of the bar are a = 1:5 m, b = 0.6 m, and c = (ạ) Assuming that the modulus of elasticity E = 210 GPa, calculate the change 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 of the bar does not move when the loads aře applied? 0.9 m. P1 P2 P3 A В D a Figure 86
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