Why does a bottle filled with water bursts upon coolingdown below 0\deg C. Demonstrate the effect foracylindrical bottle with 0.1 m inner diameter and 0.25 mheight (at 20 deg C). Compare the volume situationsat+20 and -20\deg temperature. Use a thermal expansioncoefficient of 3.106 K-1 for glass and mass densities of995 und 920 kg/m3 for water and ice, respectively.

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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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You are designing a heatsink to cool a 100mm tall, 100mm wide surface. The fins you use are vertically mounted thin plates, 2mm thick. The fins are spaced 5mm apart (pitch = 7mm) and protrude 50mm from the base. If the base temperature is 80 celsius , determine the optimum fin spacing. Note- RT is 25 celsius
1) A cylinder of volume 50cm made of Pyrex glass is full to the brim with acetone. Suppose the cylinder and acetone are warmed by 30°C. (Coefficient of linear expansion of glass, 3.2 x 10-6K-1 and acetone, 5.0 x 10-5K-1) i. Calculate the change in volume of the glass. ii. Calculate the change in volume of the acetone. ii. Will any acetone spill out of the cylinder? Explain.
Q2// Consider a special ball made of steel (p- 5000 kg/m', Cp- 300 J/kg. k, A= 60 m²). The initial temperature of the ball is 300 K. It is immersed in a large oil tank at 400 K. The convective heat transfer coefficient, h at the sphere surface is 3000 W/m³. k. Assume that there is no radial temperature gradient inside the ball. Use Euler's method to find the temperature of the sphere at t = 15 sec after it was immersed in the oil tank. Use a step size of h= 5 sec. The energy balance equation of the ball is given by the following equation: dT pCp -=-hA(T-T₂) dt
Chapter 6 7.
A steel tape with a coefficient of thermal expansion of 0.0000116/°C is known to be 50 m long at 20°C. The tape was used to measure a line that is 642.90 m long when the temperature was 35ºC. a) Calculate the temperature correction per tape length. b) Calculate the correction for the measured line. c) Calculate the correct length of the measured line.
No. 1. (10 Pts) An aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are aa=23x10-6/"C and as=12x10-6/ c, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? 5 mm Aluminun Steel Figure No. 1
Circular fins of uniform cross section, with diameter of 10 mm and length of 50 mm, are attached to a wall with surface temperature of 350 °C. The fins are made of a material with thermal conductivity of 240 W/m-K, and they are exposed to an ambient temperature of 25 °C, and the convection heat transfer coefficient is 250 W/m²-°C. Determine the heat transfer rate from the fin when the fin tip temperature is constant at 250 °C.
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Determine the thermal resistance R′ and the R-value for the glass window ofThe thermal resistance R′ and the R-value of the window can be determined from as shown , respectively.
A line was measured to be 412 m using a 30-m tape, which is of standard length at a temperature of 20 deg.C. During measurement, the temperature was 52 deg.C. If the coefficient of thermal expansion of the tape material is 0.0000116 m/m deg.C, calculate the correct length of the line.
Compute the pressure heat at m, in feet of fluid A, indicated by open manometer in figure 2 below when (a) Fluid A is oil (sp gr 0.851), the gage liquid is carbon tetrachloride (sp gr 1.51), y=30.15 in, z=3051 in. (b) Fluid A is molasses (sp.gr 1.50), gage liquid is water, y=3.51 ft, z=1.15 ft

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