(a) Explanation Given information : The force F is { 25 k } N . Show the diagram of the pipe assembly as in Figure (1). Determine the position vector for point AB . r A B = r B − r A = ( x B i + y B j + z B k ) − ( x A i + y A j + z A k ) = ( x B − x A ) i + ( y B − y A ) j + ( z B − z A ) k (I) Here, the position vector for point B is r B , the position vector for point A is r A , the distance of point B from the origin along the x -direction is x B , the distance of point B from the origin along the y -direction is y B , the distance of point B from the origin along the z -direction is z B , the distance of point A from the origin along the x -direction is x A , the distance of point A from the origin along the y -direction is y A , the distance of point A from the origin along the z -direction is z A , the vector component along the x -direction is i, the vector component along the y -direction is j, and the vector component along the z -direction is k. Express the force as follows: F = { 25 k } N (II) Write the equation for moment of the couple as follows: M C = r A B × F (III) Substitute 0 m for x B , 0.35 m for x A , 0 m for y B , 0.2 m for y A , 0 m for z B , and 0 m for z A in Equation (I). r A B = ( 0 − 0 (b) To determine The moment of the couple acting on the pipe assembly in Cartesian vector form.

13th Edition

ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

See similar textbooks

Question

Chapter 4.6, Problem 83P

(a)

To determine

The moment of the couple acting on the pipe assembly in Cartesian vector form.

(b)

To determine

The moment of the couple acting on the pipe assembly in Cartesian vector form.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.6, Problem 82P

Chapter 4.6, Problem 84P

Students have asked these similar questions

The figure illustrates the nonpermanent connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using 73 bolts. A confined gasket seal has an effective sealing diameter D of 0.9 m. The cylinder pressure is cycled between a minimum pressure of zero and a maximum pressure p, of 535 kPa. For the specifications given in the table for the specific problem assigned, select a suitable bolt length from the preferred sizes. Use Table A-17 for calculation purposes. Parameter Head thickness, A Cylinder thickness, B Value 16 mm 25 mm Internal diameter of the cylinder, C 0.8 m Gasket sealing diameter, D Bolt circle diameter, E Outer diameter of the cylinder head, F 0.9 m 1.0 m 1.1 m Bolt grade ISO 10.9 Bolt diameter, d 10 mm F E D 111 Find a suitable bolt length. Then, determine the bolt stiffness, material stiffness and stiffness constant of the joint. The bolt length is The bolt stiffness is mm. MN/m. The material stiffness is | The stiffness constant is MN/m.

Problem 3 A rotating shaft of 20 mm diameter is simply supported. The shaft is loaded with a transverse load of 10 kN as shown in the figure. The shaft is made from AISI 1095 hot-rolled steel. The surface has been machined. The shaft operate at temperature T = 450 °C. Consider a reliability factor of 95%. Determine (a) Calculate the reaction forces R₁ and R2* (b) Draw the shear force and bending moment diagrams and determine the maximum bending moment and shear force. 200 mm 20 mm 10,000 N -50 mm- C A B R₁ Not to scale. (c) Determine the critical location of the shaft and the maximum effective stresses, (d) Calculate the static safety factor against yielding. (e) Determined the endurance limit, adjusted as necessary with Marin factors. (f) Calculate the fatigue factor of safety based on achieving infinite life (g) If the fatigue factor of safety is less than 1, then estimate the life of the part in number of rotations, based on the ultimate strength of the material at T = 450 °C.

An air duct heater consists of an aligned array of electrical heating elements in which the longitudinal and transverse pitches are SL = ST = 24 mm. There are 3 rows of elements in the flow direction (NL = 3) and 4 elements per row (NT = 4). Atmospheric air with an upstream velocity of 12 m/s and a temperature of 25°C moves in cross flow over the elements, which have a diameter of 12 mm, a length of 250 mm, and are maintained at a surface temperature of 350°C. (a) Determine the total rate of heat transfer to the air and the temperature of the air leaving the duct heater. (b) Determine the pressure drop across the element bank and the fan power requirement. (c) Compare the average convection coefficient obtained in your analysis with the value for an isolated (single) element. Explain the difference between the results. (d) What effect would increasing the longitudinal and transverse pitches to 30 mm have on the exit temperature of the air, the total heat rate, and the…

Chapter 4 Solutions

Engineering Mechanics: Statics

Ch. 4.4 - F41. Determine the moment of the force about point...Ch. 4.4 - F42. Determine the moment of the force about point...Ch. 4.4 - F43. Determine the moment of the force about point...Ch. 4.4 - Neglect the thickness of the member.Ch. 4.4 - F45. Determine the moment of the force about point...Ch. 4.4 - F46. Determine the moment of the force about point...Ch. 4.4 - F47. Determine the resultant moment produced by...Ch. 4.4 - F48. Determine the resultant moment produced by...Ch. 4.4 - F49. Determine the resultant moment produced by...Ch. 4.4 - Express the result as a Cartesian vector.

Knowledge Booster