ENGINEERING FUNDAMENTALS
6th Edition
ISBN: 9781337705011
Author: MOAVENI
Publisher: CENGAGE L
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Chapter 6, Problem 3P
To determine
Find the appropriate unit for
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Consider the beam shown in (Figure 1). Suppose that
a = 160 mm, b=210 mm, c= 50 mm.
Figure 1
of 1
a
a
Part A
Determine the moment of inertia of the beam's cross-sectional area about the centroidal z axe.
Express your answer to three significant figures and include the appropriate units.
I₂ =
Submit
Part B
Iy=
μA
Submit
Value
Determine the moment of inertia of the beam's cross-sectional area about the centroidal y axe.
Express your answer to three significant figures and include the appropriate units.
Units
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μA
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7. The angle of twist for a shaft subjected to twisting torque can be expressed by the equa-
tion:
Where:
+ = angle of twist in radian
T= applied torque in, N-m
L= length of shaft in, m
J = polar moment of interia
G = Shear Modulus of the material, N/m?
TL
JG
What is the appropriate unit for J if the equation is to be homogeneous in units?
Pull
In the figure above the yellow rectangle represents 68 degree F glycerin between
two parallel plates. The bottom plate is stationary and the top plate is pulled to the
right at 31.1 feet second. The height of the glcycerin is 1 foot.
Determine the shear stress the top plate produces on the glycerin in pounds of
horizontal force per square foot.
Your answer should include at least 2 digits after the decimal place.
Chapter 6 Solutions
ENGINEERING FUNDAMENTALS
Ch. 6.1 - Prob. 1BYGCh. 6.1 - Prob. 2BYGCh. 6.1 - Prob. 3BYGCh. 6.1 - Prob. 4BYGCh. 6.1 - Prob. BYGVCh. 6.2 - Prob. 1BYGCh. 6.2 - Prob. 2BYGCh. 6.2 - Prob. 3BYGCh. 6.2 - Prob. 4BYGCh. 6.2 - Prob. 5BYG
Ch. 6.2 - Prob. 6BYGCh. 6.2 - Prob. BYGVCh. 6.3 - Prob. 1BYGCh. 6.3 - Prob. 2BYGCh. 6.3 - Prob. 3BYGCh. 6.3 - Prob. 4BYGCh. 6.3 - Prob. BYGVCh. 6.5 - Prob. 1BYGCh. 6.5 - Prob. 2BYGCh. 6.5 - Prob. 3BYGCh. 6.5 - Prob. 4BYGCh. 6.5 - Prob. BYGVCh. 6.6 - Prob. 1BYGCh. 6.6 - Prob. 2BYGCh. 6.6 - Prob. 3BYGCh. 6.6 - Prob. BYGVCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - The air resistance to the motion of a vehicle is...Ch. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - The calorie is defined as the amount of heat...Ch. 6 - Prob. 35PCh. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - For the fin equation described in Problem 6.25, if...Ch. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51P
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- A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform circular rod of diameter 10 mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, E = 2×105 MPa. When subjected to a load P = 30T kN, the deflection at point A is_ mm. 20mm 2m d, 10 mm 1.5m P 30nkNarrow_forwardThe angle of twist for a shaft subjected to twisting torque can be expressed by the equation:φ = (TL)/(JG)whereφ = the angle of twist in radiansT = applied torque (N ⋅m)L = length of the shaft in meter (m)J = shaft’s polar moment of inertia(measure of resistance to twisting)G = shear modulus of the material (N/m2) What is the appropriate unit for J if the preceding equation is to be homogeneous in units?arrow_forwardA 20-cm-diameter steel rod is subjected to a tensile load of 1000KN at one end and is fixed at the other end. Calculate the deflection of the rod if it is 150-cm long. (Esteel 200 GPa) PL d = AE where d= end deflection of the bar in meter (m) P= applied load in newton (N) %3D L = length of the bar in meter (m) %3D A = cross-sectional area of the bar in m E = modulus of elasticity of the material (N/m) O 0.73 mm 0.1.51 mm 0.02 mm 0.24 mmarrow_forward
- Problem #3 The bar shown below has uniform cross section and material properties throughout. In addition to the loads shown, the bar experiences a uniform temperature change of AT. Given the x displacement at B is equal to -0.3022409955 inches determine the change in temperature, AT. Report your answer in degrees F to 2 decimal places. D x 8 ft C 10 kip 5 ft B 30 kip 3 ft A 30 kip E = 18,000 ksi a = 8.0 x 10-6 1/°F A 0.15 in²arrow_forwardThe figure shows the infinitely rigid bar (ACD) suspended by three steel wires of diameter ? and elasticity ?, whose maximum allowable stress in the elastic range is ??. On the bar, weighing ?, it also exerts a point force ? as indicated in the figure. ?= 10 [kN], ?=5 [kN], ?=5 [mm], ?=1 [m], ?=50 [cm], ?=190 [GPa] , ??= 200 [MPa]. a) Calculate the vertical reactions on each of the wires.If applicable, indicate what wires are at risk of collapse b) Calculate the deformations of each wire for the case shown in a) c) Calculate the maximum deformations in each wire so that their behavior remains in the elastic rangearrow_forward(Figure 1) Figure 30 mm 140 mm, 30 mm 30 mm 70 mm 30 mm 170 mm 1 of 1 Part A Determine the distance to the centroid C of the beam's cross-sectional area. Express your answer to three significant figures and include the appropriate units. X = Submit Part B Īy = Value μA Submit < Return to Request Answer Compute the moment of inertia Iy about the y' axis. Express your answer to three significant figures and include the appropriate units. Value Request Answer Units ignment Units ? Provide Feedback ?arrow_forward
- Type in your answer/s rounded off to 2 decimal places except for whole numbers. (ex: 10.67, 28, 732.40) If your answer is 120.00 , write 120 DO NOT INCLUDE THE UNITS IN YOUR ANSWER. JUST ITS VALUE AND THE (-) SIGN IF APPLICABLE (ex: 10, 0.30, -3, -0.20) Include the negative sign if your flexural stress, shear stress, shear force, bending moment is negative. DO NOT leave a space between the negative sign and the value.arrow_forwardConsider the T-beam shown in (Figure 1). Suppose that a = 80 mm, b=160 mm, c = 10 mm. Figure < 1 of 1 Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam. Express your answer to three significant figures and include the appropriate units. y = Submit Part B IT' = Submit Part C Value Determine the moment of inertia I. Express your answer to three significant figures and include the appropriate units. Request Answer Iy' = Value Request Answer Units Value Units ? Determine the moment of inertia Iy'. Express your answer to three significant figures and include the appropriate units. Units ? ?arrow_forward: Describe the following figure in details. Shear Stress r Thixotropic Fluid Shear Stress T And Tharrow_forward
- As shown in the figure, a rigid beam with negligible weight is pinned at one end and attached to two vertical rods. The beam was initially horizontal before the load W = 200KN was applied. Find the vertical movement of W. Given: Reqd: Bronze A = 900 sq.mm E =120 GPa 1.5m B L = 1.2m 3.0 m Vertical movement of W W Steel A = 500 sq.mm E = 200 GPa L= 4m -final position 2m... W = 200 KN Meeting in CE397 R2arrow_forwardQuestions QI. Calculate the bending stresses at top and bottom fibers of a simply supported beam and loaded as shown in figure below. The cross section of the beam is an I-section as shown. 250 38 2 kN X kN 300 25 5 kN/m 38 D. 1.5 m 150 2.2 m 2 m All dimensions are in mm Take X= Last digit of your student id and if the last digit is zero, then take X 2.5 kN.arrow_forwardA compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. The cross-sectional area of the bronze, aluminum, and steel are 416 mm?, 622 mm?, and 281 mm? respectively.Determine the change in length (in mm) of the bar if P = 27177 N.The moduli of elasticity are 81.33 GPa for bronze ,73.05 GPafor aluminum , and 200.23 GPa for steel . Round off the final answer to four decimal places. Bronze Aluminum ЗР Steel 2P P 4P -0.6 m 1.0 m- 0.8 marrow_forward
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