Assume the temperature is always uniform throughout the rail and they arefree to expand on the rail ties without friction or other impediments.40 ftInches-RRad-8"CENTRE UNE OF BOLT HOLESRad-8"laches-P. R. R. STANDARD RAIL SECTION.100 LBS, PER YARD.Inches= The 40 ft. long steel rails on the train track are placed such that there issmallgap,8, between them to allow for thermal expansion. A 100 Ib/yardarail has a cross-sectional area of 9.80 in?. The steel used has the followingmaterial properties:E = 29,000 ksi6.6 HE/ F(a) What is the size of gap, 8, required so that the rails just touch oneanother when the temperature increases from -20°F to 100°F.(b) Given the gap you found in (a), what would the axial force in the railsbe if the temperature rises to 130°F.

Axial tension force is the force acting on rails in its axial direction. It's a pulling force that…

Answered: The 40 ft. long steel rails on the…

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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A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000 ksi; a = 6.5×10-6/°F] bolts have a diameter of 0.50 in. The polymer [E = 380 ksi; a = 39.7x 10-6/°F] cylinder has an outside diameter of 7.0 in. and a wall thickness of 0.40 in. Assume a = 22 in. and b = 30 in. If the %3D temperature of this assembly changes by AT = 125°F, determine: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts. |(1) (2) C а (1) b. Answer:
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6:53 PM M ..39 and 300 mm long solid copper bar of 20 mm diameter (See Figure 1). The composite bar is heated 35°C above room temperature, clamped at both ends and then allowed to cool to room temperature. If the distance between the clamps is unchanged find the stress in each bar. For steel, use a = 12.5 x 100% E = 200 GPa and for Aluminum use a = 17 x × 10**; E = 130 GPa 500 m Figure Q1 Question 2 A narrow steel strip, 15 mm thick, is clad by two magnesium plates, one is 2.5 mm thick and the other is 3.5 mm thick as show in Figure 2. Calculate the change in stress in each strip for a centigrade degree rise in temperature of the compound strip. Assume perfect bonding of the strips along their length. For steel, a = 12 x 10°/°C; E = 200 GN/m². For magnesium, a = 27 x 10°/°C; E = 45 GN/m² 3.5mm 15 mm 2.5 mm Figure Q2 Question 3 A horizontal beam AD, 10 m long, carries a uniformly distributed load of 25kN/m, together with a concentrated load of 36 kN at the left-hand end A (see Figure…
The picture below Consist a brass ( EB = 100 Gla and AB and a Aluminum [ EA₁ = 73GPa | AA! each red exists a non- deformable rigid plate. The rods are stress free at 25°C. If the coefficient of thermal expansion for staat is taken 13.106 [m/m°c ] of a steel (E₂ -200CHPA and As = 1500mm ² = 2000 mind) JAT aluminiscent 2 = 1500 mm ² ) kod between at ds and temperature increased to up re increased to 350°C. A steel Find reactionary forces at A_and_D_ Considering RA = Rai and Rp = - Rp₁" ? Also find the deflection of plate B. 1.5 m a 18 = 19,10`6 [m/m="c] α = 24,10 € AL B Brass Im t D Aluminum 1.5m [m/m="c} Fant Fall = $6
A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to provide support for AB. We are investigating the behavior of this system under a specific load. Key Details: Bar properties: Material: Steel with Young's modulus (Esteel) of 200 GPa and coefficient of thermal expansion (a) of 11.7 x 10^-6 /°C. Cross-sectional area: AC: 1960 mm² AD: 1250 mm² Length: AC: √2 meters (square root of 2 meters) AD: 1 meter Inclination angles: AC: θ₁ (theta 1) = 30° from horizontal AD: θ₂ (theta 2) = 20° from horizontal Load on bar AB: Idealized linearly increasing load with a maximum value of 30 kN/m at point B. Problem Objectives: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions.If the bar is cooled by 10°C, what would be the: Determine the internal forces (axial forces) acting within bars AC and AD…
is the structure statically determinate?
A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000 ksi; a = 6.5x10-6/°F] bolts have a diameter of 0.30 in. The polymer [E = 370 ksi; a = 38.3x 10-6/°F] cylinder has an outside diameter of 6.6 in. and a wall thickness of 0.75 in. Assume a = 29 in. and b = 37 in. If the temperature of this assembly changes by AT = 135°F, determine: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts. %3D %3D %3D %3D (1) C (2) a (1) b. Answer: (a) 02 = psi. (b) E2 = 3d (c) E1 =
The picture below Consist a brass ( EB = 100 Gla and AB and a Aluminum [ EA₁ = 73GPa | AA! each red exists a non- deformable rigid plate. The rods are stress free at 25°C. If the coefficient of thermal expansion for staat is taken 13.106 [m/m°c ] of a steel (E₂ -200CHPA and As = 1500mm ² = 2000 mind) JAT aluminiscent 2 = 1500 mm ² ) kod between at ds and temperature increased to up re increased to 350°C. A steel Find reactionary forces at A_ and _D_Considering RA = RA₁ and Rp = - Rp₁" ? Also find the deflection of plate B. 1.5 m a 18 = 19,10`6 [m/m="c] α = 24,10 € AL B Brass Im t D Aluminum 1.5m [m/m="c} Fant Fall f

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