5_28 - 5.28 The concrete [E = 29 GPa] pier shown in Fig....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
5.28 The concrete [ E = 29 GPa] pier shown in Fig. P5.28 is reinforced using four steel [ E = 200 GPa] reinforcing rods, each having a diameter of 19 mm. If the pier is subjected to an axial load of 670 kN, determine: (a) the normal stress in the concrete and in the steel reinforcing rods. (b) the shortening of the pier. Fig. P5.28 Solution (a) Equilibrium: Consider a FBD of the pier, cut around the upper end. The concrete will be designated member (1) and the reinforcing steel bars will be designated member (2). Sum forces in the vertical direction to obtain: 12 670 kN 0 y FF F Σ= −−− = Geometry of Deformations: δ = Force-Deformation Relationships: 11 2 2 FL A EA E δδ == Compatibility Equation: Substitute Eqs. (c) into Eq. (b) to derive the compatibility equation: A E = (d) Solve the Equations: Solve Eq. (d) for F 2 : 2 1 2 2 21 1 2 2 1 1 L AE L A E F A EL LAE (e) and substitute this expression into Eq. (a) to determine F 1 : 122 1 1 1 211 1 670 kN y F F ⎡⎤ −− = −− = − + = ⎢⎥ ⎣⎦ (f) Since L 1 = L 2 , the term L 1 / L 2 = 1 can be eliminated and Eq. (f) simplified to
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/09/2012 for the course MECHANICAL EM217 taught by Professor Joyce during the Spring '11 term at Naval Academy.

Page1 / 2

5_28 - 5.28 The concrete [E = 29 GPa] pier shown in Fig....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online