An elastomeric bearing pad is used to support a bridge girder as shown. The bearing pad provides flexibility in the horizontal direction to accommodate thermal expansion and earthquake motions. The shear modulus of the bearing pad is G = 1.50 MPa. The beam must not displace horizontally more than 25 mm when a load of P = 45 kN is applied as shown. Determine the maximum thickness t that can be used for the bearing pad. Assume a = 300 mm and b = 420 mm. b
An elastomeric bearing pad is used to support a bridge girder as shown. The bearing pad provides flexibility in the horizontal direction to accommodate thermal expansion and earthquake motions. The shear modulus of the bearing pad is G = 1.50 MPa. The beam must not displace horizontally more than 25 mm when a load of P = 45 kN is applied as shown. Determine the maximum thickness t that can be used for the bearing pad. Assume a = 300 mm and b = 420 mm. b
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.11P: A joint between two glass plates A and B is filled with a flexible epoxy that bonds securely to the...
Related questions
Question
![**Elastomeric Bearing Pad Analysis for Bridge Girder Support**
An elastomeric bearing pad is used to support a bridge girder as shown in the diagram. This bearing pad offers flexibility in the horizontal direction to accommodate thermal expansion and earthquake motions. The shear modulus of the bearing pad is \( G = 1.50 \text{ MPa} \).
The beam must not displace horizontally by more than 25 mm when a load of \( P = 45 \text{ kN} \) is applied as illustrated.
Determine the maximum thickness \( t \) that can be used for the bearing pad. Assume the following dimensions:
- \( a = 300 \text{ mm} \)
- \( b = 420 \text{ mm} \)
**Diagram Explanation:**
The diagram shows a horizontal beam supported by an elastomeric bearing pad depicted in dark gray. The bearing pad has dimensions \( a \) (width) and \( b \) (length) as labeled. A horizontal force \( P \) is shown acting on the beam.
**Calculation:**
To calculate the maximum allowable thickness \( t_{\text{max}} \), use the following box to input your result:
**Answer:**
\[ t_{\text{max}} = \_\_\_\_\_\_\_ \ \text{mm} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8209b3d5-f39b-4753-8582-d28823046294%2Fd440df86-f7df-4744-80ae-47b80d820dfe%2F7bsnqvd_processed.png&w=3840&q=75)
Transcribed Image Text:**Elastomeric Bearing Pad Analysis for Bridge Girder Support**
An elastomeric bearing pad is used to support a bridge girder as shown in the diagram. This bearing pad offers flexibility in the horizontal direction to accommodate thermal expansion and earthquake motions. The shear modulus of the bearing pad is \( G = 1.50 \text{ MPa} \).
The beam must not displace horizontally by more than 25 mm when a load of \( P = 45 \text{ kN} \) is applied as illustrated.
Determine the maximum thickness \( t \) that can be used for the bearing pad. Assume the following dimensions:
- \( a = 300 \text{ mm} \)
- \( b = 420 \text{ mm} \)
**Diagram Explanation:**
The diagram shows a horizontal beam supported by an elastomeric bearing pad depicted in dark gray. The bearing pad has dimensions \( a \) (width) and \( b \) (length) as labeled. A horizontal force \( P \) is shown acting on the beam.
**Calculation:**
To calculate the maximum allowable thickness \( t_{\text{max}} \), use the following box to input your result:
**Answer:**
\[ t_{\text{max}} = \_\_\_\_\_\_\_ \ \text{mm} \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 8 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning