Question: If the thermal expansion coefficient of a bar is given by = a0 (1 + x /L), determine the thermal force matrix. Let the

If the thermal expansion coefficient of a bar is given by α = a0 (1 + x /L), determine the thermal force matrix. Let the bar have length L, modulus of elasticity E, and cross-sectional area A.

Step by Step Solution

★★★★★

3.38 Rating (176 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

For bar with 0 1 xL ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1414-P-T-H-T(1605).docx

120 KBs Word File

Students Have Also Explored These Related Thermodynamics Questions!

A perfectly plane house roof makes an angle - with the horizontal. When its temperature changes, between Tc before dawn each day to Th in the middle of each afternoon, the roof expands and contracts...

Thermal Expansion of an Ideal Gas (a) The pressure p, volume V, number of moles n, and Kelvin temperature T of an ideal gas are related by the equation p V = nRT, where R is a constant. Prove that...

The temperature coefficient of resistance a in Eq. (25.12) equals the temperature coefficient of resistivity a in Eq. (25.6) only if 1he coefficient of Thermal expansion is small. A cylindrical...

2 Stress on a "Composite" Bar Consider a two - part bar. Its inner core is steel with diameter 1 0 0 mm . The outer portion is an aluminum cylinder with inner diameter 1 0 0 mm and outer diameter 1 5...

Consider a two - part bar. Its inner core is steel with diameter 1 0 0 mm . The outer portion is an aluminum cylinder with inner diameter 1 0 0 mm and outer diameter 1 5 0 mm . Both the steel core...

30. A cantilevered frame (Element 1) and a uniaxial bar (Element 2) are joined at Node 2 using a bolted joint as shown in the figure. Assume there is no friction at the joint. The temperature of...

Please quality check my solutions for this advanced heat transfer problem. Show all work. Thank you. All original documents are located at the bottom. 3.9 COMPACT HEAT EXCHANGERS 3.9.10-1 3.9.10...

Review Learning Goal: Most materials change in size when subjected to a temperature change. For a temperature change of a homogenous isotropic material, the change in length of a bar of length L due...

The truss in Figure 1 is subject to an initial increase in temperature of 5 0 C in all bars, in addition to the load P shown in the figure. The cross - sectional area is 1 0 cm 2 , and Young s...

Please evaluate the quality of the design (answer questions within 1-4 on the gas turbine recuperator rating problem). Please answer all questions asked. Show all calculations. I have provided...

Childress Company produces three products, K1, S5, and G9. Each product uses the same type of direct material. K1 uses 4 pounds of the material, S5 uses 3 pounds of the material, and G9 uses 6 pounds...

Does one type of therapy seem more useful than the others? Why? Insight therapy psychoanalysis interpersonal therapy person-centered therapy behavioral therapy, including classical conditioning or...

Discuss the reliability of bank statements as audit evidence. What steps can be taken if it is considered desirable to increase their reliability? ( 4 marks )

1.12 What kinds of statistical data might a burglar alarm company employ in trying to convince urban homeowners to purchase its product?

A 5-cm-diameter cylinder maintained at 80oC is placed in a nitrogen flow stream at 2 atm pressure and 10oC. The nitrogen flows across the cylinder with a velocity of 5 m/s. Calculate the heat lost by...

Air at 1 atm and 10oC blows across a 4-cm-diameter cylinder maintained at a surface temperature of 54oC. The air velocity is 25 m/s. Calculate the heat loss from the cylinder per unit length.

Liquid ammonia flows in a duct having a cross section of an equilateral triangle 1.0cmon a side. The average bulk temperature is 20oC, and the duct wall temperature is 50oC. Fully developed laminar...

Q.No.2 (5 marks) Three independent projects, each of which requires a RS 5 million investment are being considered for investment purpose by Sona Tea Company. The cost of capital and estimated...

Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of...

A forward contract with a settlement date at time T is issued based on an underlying asset with a current market price of B. The annualised risk-free force of interest applying over the term of the...