Determine the maximum change in length of the masonry wall with this temperature change. Determine the minimum number of vertical expansion joints required in the wall to limit damage from thermal expansion and contraction.Determine the maximum spacing of evenly spaced vertical expansion joints required to limit damage from thermal expansion and contraction. **Problem 9.5: Thermal Expansion in Concrete Masonry Walls**A concrete masonry wall, with a thermal expansion coefficient \((\alpha = 0.000\ 006 \text{ in/in-°F})\), spans 256 feet in length. This wall is designed to withstand a temperature fluctuation of 90°F. Vertical pliable expansion joints are strategically placed within the masonry wall to mitigate thermal expansion and contraction effects. Each \( \frac{1}{2} \)-inch vertical expansion joint accommodates a maximum dimensional change of 0.25 inches.**Tasks:**(a) **Determine the Maximum Change in Length of the Masonry Wall:**Given the temperature change, calculate how much the length of the masonry wall will change using the thermal expansion formula:\[\Delta L = \alpha \times L \times \Delta T\](b) **Determine the Minimum Number of Vertical Expansion Joints Required:**Calculate the minimum number of vertical expansion joints necessary to limit thermal damage, based on the maximum change each expansion joint can accommodate.(c) **Determine the Maximum Spacing of Evenly Spaced Vertical Expansion Joints:**Calculate the maximum allowable distance between these expansion joints to ensure the wall's structural integrity under thermal expansion and contraction.

Given:- To find:- a) Maximum change in length b) Minimum number of vertical expansion joints c)…

Answered: ne the maximum change in length of the…

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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Determine the maximum change in length of the masonry wall with this temperature change. Determine the minimum number of vertical expansion joints required in the wall to limit damage from thermal expansion and contraction. Determine the maximum spacing of evenly spaced vertical expansion joints required to limit damage from thermal expansion and contraction.

**Problem 9.5: Thermal Expansion in Concrete Masonry Walls**

A concrete masonry wall, with a thermal expansion coefficient \((\alpha = 0.000\ 006 \text{ in/in-°F})\), spans 256 feet in length. This wall is designed to withstand a temperature fluctuation of 90°F. Vertical pliable expansion joints are strategically placed within the masonry wall to mitigate thermal expansion and contraction effects. Each \( \frac{1}{2} \)-inch vertical expansion joint accommodates a maximum dimensional change of 0.25 inches.

**Tasks:**

(a) **Determine the Maximum Change in Length of the Masonry Wall:**

Given the temperature change, calculate how much the length of the masonry wall will change using the thermal expansion formula:
\[
\Delta L = \alpha \times L \times \Delta T
\]

(b) **Determine the Minimum Number of Vertical Expansion Joints Required:**

Calculate the minimum number of vertical expansion joints necessary to limit thermal damage, based on the maximum change each expansion joint can accommodate.

(c) **Determine the Maximum Spacing of Evenly Spaced Vertical Expansion Joints:**

Calculate the maximum allowable distance between these expansion joints to ensure the wall's structural integrity under thermal expansion and contraction.

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