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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

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:**
\[ t_{\text{max}} = \_\_\_\_\_\_\_ \ \text{mm} \]

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