A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 175 kN, acting as shown in the figure. The reaction q of the ballast is assumed to be uniformly distributed over the length of the tie, which has cross-sectional dimensions b = 300 mm andh = 250 mm . Calculate the maximum bending stress omax in the tie due to the loads P, assuming the distance L = 1500 mm and the overhang length a = 500 mm.

A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 175 kN, acting as shown in the figure. The reaction q of the ballast is assumed to be uniformly distributed over the length of the tie, which has cross-sectional dimensions b = 300 mm andh = 250 mm . Calculate the maximum bending stress omax in the tie due to the loads P, assuming the distance L = 1500 mm and the overhang length a = 500 mm.

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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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 175 kN, acting as
shown in the figure. The reaction q of the ballast is assumed to be uniformly distributed over the
length of the tie, which has cross-sectional dimensions b = 300 mm and h = 250 mm.
%3D
Calculate the maximum bending stress omax in the tie due to the loads P, assuming the distance L
= 1500 mm and the overhang length a = 500 mm.
L
h

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