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See attached for next problem I would like you to help me with. 

 

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Daryl

 

ENGR 200FALL 2016P10: BEET TRUCKS AND BRIDGES(MATLAB functions, plotting)DUE:December 8, 2016 by 11:59 p.m. CT (Final Deadline)POINTS: 80INTRODUCTION:You have been employed by AgraBeet™ as an engineer. They want a program that will analyze bridges in ruralNorth Dakota to ensure the beet trucks can drive over them safely. Most rural bridges have a similar design –quench and tempered, low carbon steel I-beams supporting a concrete deck. The modulus of elasticity,E, in theequations, for low carbon steel is 30*106psi. The yield strength for quench and tempered low carbon steel is150,000 psi. The program needs to warn the company when the maximum stress is more than ¼ the yieldstrength. Also, they would like you to print out the deflection of the bridge, δ, at 25 points. The first pointshould be at the beginning of the bridge,x= 0, and the last point should be at the end of the bridge,x=length_of_bridge. The remaining points should be spaced evenly over the length of the bridge.Because the highest stress and greatest deflection comes when the truck is in the center of the bridge, this is theonly condition that you need to consider. The trucks weight 97,000 lbs when fully loaded with beets. They canbe modeled as a concentrated load, denotedP, at the center of the bridge. Consider both the weight of the truckand the concrete deck in your calculation. The deck concrete weights 105 lb/in, denoted ω.Deflection:The company knows the length of the bridges in feet. The company records also contain information on thenumber of I-beams and the physical parameters of the beams, including the height of a beam and moment ofinertia of a beam,Ibeam. The height of the beam is known in inches and the moment of inertia in in4. The totalmoment of inertia for the bridge isbeamsIbridge=number¿Ibeam.The deflection at any point on the bridge isδ(x)=P∗x12∗E∗Ibridge(3∗l24−x2)+ω∗x24∗E∗Ibridge(l3−2∗l∗x2+x3)The variablexis the distance along the bridge andlis the length or span of the bridge in inches.NOTE:Thisequation only works whenx<0.5*l. The deflection is symmetric about the center, so the values from the firsthalf of the bridge are the same as the second half of the bridge. Whenxlies in the second half of the bridge, thedeflection is δ(l-x).HINT:There is no need to use a for loop or if statement. You can do this whole problem with vectors andMATLAB functions.1

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