The assembly shown in Fig.3 consists of an aluminum tube AB having a cross- sectional area of 400 mm². A steel rod having a diameter of 10 mm is attached to a rigid collar and passes through the tube. If a tensile load of 80 kN is applied to the rod, determine the displacement of the end C of the rod. Take E = 200 GPa, E = 70 GPa. al

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.4.2P: A cantilever aluminum column has a square tube cross section with an outer dimension of 150 mm. The...
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The assembly shown in Fig.3 consists of an aluminum tube AB having a cross-
sectional area of 400 mm². A steel rod having a diameter of 10 mm is attached to a
rigid collar and passes through the tube. If a tensile load of 80 kN is applied to the
rod, determine the displacement of the end C of the rod.
Take E = 200 GPa, E = 70 GPa.
al
400 mm
80 kN
600 mm
Fig,3
Solutions
• Find the displacement of end C with respect to end B.
PL -80(10)(0.6)
AE #(0.005)200(10°)
+0.003056 m →
Displacement of end B with respect to the fixed end A,
-s0(10° (0.4)
AE 400(10 70(10°)|
PL
:-0.001143 = 0.001143 m →
Since both displacements are to the right,
8c = 8c +8c 3 =0.0042m=4.20 mm →
80 kN
PA- 80 kN
80 kN
Pac 80 kN
(b)
Transcribed Image Text:The assembly shown in Fig.3 consists of an aluminum tube AB having a cross- sectional area of 400 mm². A steel rod having a diameter of 10 mm is attached to a rigid collar and passes through the tube. If a tensile load of 80 kN is applied to the rod, determine the displacement of the end C of the rod. Take E = 200 GPa, E = 70 GPa. al 400 mm 80 kN 600 mm Fig,3 Solutions • Find the displacement of end C with respect to end B. PL -80(10)(0.6) AE #(0.005)200(10°) +0.003056 m → Displacement of end B with respect to the fixed end A, -s0(10° (0.4) AE 400(10 70(10°)| PL :-0.001143 = 0.001143 m → Since both displacements are to the right, 8c = 8c +8c 3 =0.0042m=4.20 mm → 80 kN PA- 80 kN 80 kN Pac 80 kN (b)
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