For the plane stress element shown in Figure P15 15 subjected to a uniform temperature rise of T 50 deg F, determine the thermal force matrix fT Let E 30 Atilde 106 psi, v 0 3, a 7 0 Atilde 1026 (in in ) deg F, and t 1 in The coordinates (in inches) are shown in the figure (0, 4) 2 (0, 0) (6, 0)

Question: For the plane stress element shown in Figure P15 -15 subjected to a uniform temperature rise of T = 50°F, determine the thermal force matrix

For the plane stress element shown in Figure P15 -15 subjected to a uniform temperature rise of T = 50°F, determine the thermal force matrix {fT}. Let E = 30 Ã— 106 psi, v = 0.3, a = 7.0 Ã— 1026 (in./in.)/°F, and t = 1 in. The coordinates (in inches) are shown in the figure.

(0, 4) 2 (0, 0) (6, 0)

Step by Step Solution

★★★★★

3.43 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

i y j y m 0 4 4 i x m x j 0 6 6 j y ... 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(1601).docx

120 KBs Word File

Students Have Also Explored These Related Thermodynamics Questions!

For the linear-strain element shown in Figure P8-6, determine the strains (x, (y, and (xy. Evaluate these strains at the centroid of the element; then evaluate the stresses (x, (y, and (xy at the...

The plane stress element only has in-plane displacements, while the frame element resists displacements and rotations. How can we combine the plane stress and beam elements and still insure...

For the plane stress plate fixed along the left and right sides and subjected to a uniform temperature rise of 50F as shown in Figure P15 -17, determine the stresses in each element. Let E = 10 106...

For the plane stress element shown in Figure P15 -13 subjected to a uniform temperature drop of T = 50 °F, determine the thermal force matrix {fT}. Let E = 10 Ã 106 psi v = 0.30, and...

For the plane stress plate fixed along all edges and subjected to a uniform temperature decrease of 20°C as shown in Figure P15 -18, determine the stresses in each element. Let E = 210 GPa, v =...

Solve Problem 15.3 using a computer program. For the plane truss shown in Figure P15 -3, bar element 2 is subjected to a uniform temperature rise of T = 60 F. Let E = 30 106 psi, A = 2 in2, and a =...

For the plane truss shown in Figure P15 -3, bar element 2 is subjected to a uniform temperature rise of T = 60 °F. Let E = 30 Ã 106 psi, A = 2 in2, and a = 7.0 Ã 10-6 (in./in.)/...

For the plane truss shown in Figure P15 -9, bar element 2 is subjected to a uniform temperature rise of T = 10 °C. Let E = 210 GPa, A = 12.5 cm2, and Î± = 12 Ã 10-6/°C....

For the one-dimensional steel bar fixed at the left end, free at the right end, and subjected to a uniform temperature rise T = 100°F as shown in Figure P15 - 1, determine the free-end...

For the bar structure shown in Figure P15 -7, element 1 is subjected to a uniform temperature rise of T = 30 C. Let E = 210 GPa, A = 3 10-2 m2, and a = 12 10-6 (mm/mm)/C. Determine the displacement...

If the invoice does not match the purchase order exactly, the account clerk and purchasing must research the purchase order and identify where the error occurred. What is your solution to this...

The sound intensity level at a rock concert is 115 dB, while that at a jazz fest is 95 dB. Determine the ratio of the sound intensity at the rock concert to the sound intensity at the jazz fest.

True or false canceling a credit card can hurt your FICO score

1.18 For each of the following, indicate the scale of measurement that best describes the infor mation. a. In 2008, Dell Corporation had approximately 78,000 employees. Source: Fortune, May 4, 2009,...

Air enters a small duct having a cross section of an equilateral triangle, 3.0 mm on a side. The entering temperature is 27oC and the exit temperature is 77oC. If the flow rate is 5 105 kg/s and the...

Air at 90 kPa and 27oC enters a 4.0-mm-diameter tube with a mass flow rate of 7 105 kg/s. A constant heat flux is imposed at the tube surface so that the tube wall temperature is 70oC above the...

Air at 110 kPa and 40oC enters a 6.0-mm-diameter tube with a mass flow rate of 8 105 kg/s. The tube wall temperature is maintained constant at 140oC. Calculate the exit air temperature for a tube...

Rowell Company spent $3 million two years ago to build a plant for a new product. It then decided not to go forward with the project, so the building is available for sale or for a new product....

Sam is offered to receive a payment of $500000 today. Sam can invest this money for 16 years at an interest rate of 7%. What is the profit Sam would make on this investment in 16 years using simple...

To expand their growing business, Jansen Jaffles secures a small business loan of $43,000 from Westpac Bank at the rate of 7.8% compounded monthly and promises to pay it back over two years with...