### Problem Description:A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude \( P = 177 \, \text{kN} \), acting as shown in the figure.**Diagram Explanation:**The diagram consists of a horizontal beam (representing the railroad tie) with two downward forces \( P \) at equal distances \( a \) from the edges. Beneath the beam, arrows pointing upward represent the uniformly distributed reaction \( q \) of the ballast. The cross-section of the beam is shown as a rectangle with width \( b \) and height \( h \).### Given Data:- **Load, \( P \):** 177 kN- **Cross-sectional Width, \( b \):** 300 mm- **Cross-sectional Height, \( h \):** 250 mm- **Distance Between Loads, \( L \):** 1500 mm- **Overhang Length, \( a \):** 495 mm- **Uniformly Distributed Reaction, \( q \):** Assumed to be uniformly distributed over the length of the tie.### Problem Objective:Calculate the maximum bending stress \( \sigma_{\text{max}} \) (in MPa) in the tie due to the loads \( P \).### Solution:Enter the calculated maximum bending stress \( \sigma_{\text{max}} \) based on the provided parameters.\[ \sigma_{\text{max}} = \, \text{______ MPa} \]

A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 177 kN, acting as shown in the figure. a L 9 -a- 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. Calculate the maximum bending stress max (in MPa) in the tie due to the loads P, assuming the distance L = 1,500 mm and the overhang length a = 495 mm. (Enter the magnitude.) MPa

A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 177 kN, acting as shown in the figure. a L 9 -a- 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. Calculate the maximum bending stress max (in MPa) in the tie due to the loads P, assuming the distance L = 1,500 mm and the overhang length a = 495 mm. (Enter the magnitude.) MPa

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

See similar textbooks

Similar questions

1 A beam of T-section is supported and loaded as shown in the figure below. The cross section has width b = 2.5in., height h = 3in., thickness t = 0.5in, C₁= 2in, and C2 = 1in. Determine the maximum tensile and compressive stresses in the beam if I = 2.0833 in4. 4₁ = 4 ft P=625 lb q=80 lb/ft Than2-843- -L3-5 ft- €2
The cross section of a composite beam madeof aluminum and steel is shown in the figure. The moduliof elasticity are EAl = 75 GPa and Es =200 GPa.(a) Under the action of a bending moment that producesa maximum stress of 50 MPa in the aluminum,what is the maximum stress σs in the steel?(b) If the height of the beam remains at 120 mmand allowable stresses in steel and aluminum aredefined as 94 MPa and 40 MPa, respectively,what heights hAl and hs are required for aluminumand steel, respectively, so that both steeland aluminum reach their allowable stress valuesunder the maximum moment?
For the system below , find the maximum stress for the member ECD due to the combined effect of axial and bending moment .
The bending safety stress σsafety= 10 MPa, shear safety stress Tsafety= 600 kPa of the rectangular section beam given the loading position in the figure and width b= 150 mm. How high should the height h of the beam cross-section be at least so that the stresses that will occur in the beam do not exceed the safety stress values?
A steel bar of cross section 500 mm2 is acted upon by the forces shown in Figure. Determine 50 kN 15 kN 10 kN 45kN the total elongation of the bar. For steel, 0.6 m 1.25 m consider E = 200 GPa.
During construction of a highway bridge, the main girders are cantilevered outward from one pier toward the next (see figure). Each girder hasa cantilever length of 48 m and an I-shaped cross section with dimensions shown in the figure. The load on each girder (during construction) is assumed to be 9.5 kN/m, which includes the weight of the girder. Determine the maximum bending stress in a girder due to this load.
40 men D Steel t-200 GPa The rigid beam (ABC) supported by three bars, One from the top and two from the bottom. A vertical downward load of W= 60 kN is applied at point B . shown in figure is 200m 50 mm D Brass E-100 GPe 250mm A- Estimate the stress acting on each bar. B- Estimate the downward movement of the beam (АВС).
In the figure, find the length c of the overhangs so that the beam made of U profile can carry the loading safely. The safety stress (σç) emn = 50 N / mm2, (σb) emn = 80 N / mm2 for the tensile and compression condition of the material. The support range of the beam is L = 6 m, cross-section dimensions a = 210 mm, b = 150 mm and wall thickness t = 40 mm. The loading condition is P = 30 kN and q0 = 40 kN / m.
A cylindrical pressure vessel with flat ends is subjected to a torque 7 and a bending moment M (see figure). ot oc max Zo = M yo The outer radius is 12.2 in. and the wall thickness is 1.0 in. The loads are T = 800 kip-in., M = 1,000 kip-in., and the internal pressure p = 840 psi. Determine the maximum tensile stress, maximum compressive stress and maximum shear stress Tmax in the wall of the cylinder. (Enter the magnitudes in psi. Assume that the structure behaves linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) T M psi хо 11474.4981 X Your response differs from the correct answer by more than 10%. Double check your calculations. psi 0 psi
The beam AB shown in the figure supportsa uniform load of intensity 3000 N/m acting over halfthe length of the beam. The beam rests on a foundationthat produces a uniformly distributed load overthe entire length.(a) Draw the shear-force and bending-momentdiagrams for this beam.(b) Repeat part (a) for the distributed load variationshown in Fig. b.