The rigid beam is supported by a pin at A and wires BD and CE. Figure 3 m 2m 1 of 1 4 m ▾ Part A If the load P on the beam causes the end C to be displaced 8 mm downward, determine the normal strain developed in wire CE. (Figure 1) ECE = Submit ▾ Part B EBD = Submit V—| ΑΣΦ Determine the normal strain developed in wire BD. Provide Feedback Request Answer ΑΣΦ vec Request Answer vec SO ? ? mm/mm mm/mm Next >

The rigid beam is supported by a pin at A and wires BD and CE. Figure 3 m 2m 1 of 1 4 m ▾ Part A If the load P on the beam causes the end C to be displaced 8 mm downward, determine the normal strain developed in wire CE. (Figure 1) ECE = Submit ▾ Part B EBD = Submit V—| ΑΣΦ Determine the normal strain developed in wire BD. Provide Feedback Request Answer ΑΣΦ vec Request Answer vec SO ? ? mm/mm mm/mm Next >

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

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A bar BD is held in a horizontal position when there is no load by the steel wire AB. When a weight Wis added at C, also hanging from a steel wire CE, then point C is displace down by 0.025in. The cross-sectional area of the wires is 0.002in². The wires are made of a steel alloy with E = 29000ksi and σy = 70ksi. Calculate the strain in both wires, and the weight W. B A N E Parameter ft L_1 4 L_2 1 L_3 2 L_4 4 The strain in AB is € AB = The strain in CE is ECE = The weight W = 30 W cc 080 BY NO SA 2021 Cathy Zupke Xlb D in./in. in./in.
New Tab OM5MDkxNzMz/a/NDCONZAWMTQYMTK3/details Open wit 3. A rigid member CBD is supported by a flexible cable AB as shown below. If a force applied to the end D causes it to rotate and developed strain in cable AB of 0.0035 mm/mm, determine the displacement at point D. Originally, the cable is unstretched: 300 mm 300 mm A 400 mm A SOUND MI Page
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.4 lb/in.³ is the specific weight of the material, y = 3.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 19 in. is the length of the bar, and E= 24000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Part 1 Calculate the change in length of the bar due to its own weight. Answer: d = i x10-6 in.
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.3 lb/in.³ is the specific weight of the material, y = 0.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 8 in. is the length of the bar, and E = 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar.
The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The following readings are obtained for each gage: ea, eb, and ec .Note that Be is negative. Determine: • Shear strain yxy • Principal strains e1 and e2 · The rotation angle (magnitude and direction) from x-axis to reach the principal orientation. Indicate direction as clockwise or counter-clockwise. epsilon a = 4.50E-04 epsilon k= 2.00E-04 epsilons = -1.00E-04 %3D y а b 45° 45°
A 45° strain rosette was placed on the surface of a critical point on an engineering part. The following were measured: Ea = 400 μ C ли 45° mm mm 45° ли Gauge a was aligned with the x-axis. a. Determine Ex, Ey, Yxy b. Using Mohr's Circle, find the principal strains and the maximum shear strain at that point, and find the orientation of the principal planes from the given x-y axes. y ли & = 450 μ ஆ b a mm X mm & c = 500 μ y+ ос mm mm eb 10₂ X
I Review The state of strain at the point has components of e, = 230 (10 6), e, = -240 (10 ), and Yay = 500 (10 6). Part A Use the strain-transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 30 ° counterclockwise from the original position. (Figure 1) Enter your answers numerically separated by commas. AEo 1 vec E, Ey', Yr'y = Figure étv
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E wherey= 2.2 lb/in.³ is the specific weight of the material, y = 5.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 25 in. is the length of the bar, and E = 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length of the bar (c) the maximum normal strain in the bar. Answer: (a) ō = i (b) Eave = i (c) Emax = i x10-in. με με
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.8 lb/in.3 is the specific weight of the material, y = 2.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 20 in. is the length of the bar, and E= 29000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Part 1 Your answer is correct. Calculate the change in length of the bar due to its own weight. Answer: 6 = 6.436 eTextbook and Media Part 2 * Your answer is incorrect. Calculate the average normal strain over the length of the bar. Answer: Eavi 3.22 x10-6 in. eTextbook and Media Save for Later με Attempts: 1 of 5 used Attempts: 2 of 5 used Part 3 The parts of this question must be completed in order. This part will be available when you complete the part above. Submit Answer
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.8 lb/in.³ is the specific weight of the material, y = 2.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 20 in. is the length of the bar, and E = 29000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Part 1 Calculate the change in length of the bar due to its own weight. Answer: ō= i eTextbook and Media Save for Later x10-6 in. Attempts: 0 of 5 used Submit Answer Part 2 The parts of this question must be completed in order. This part will be available when you complete the part above. Part 3 The parts of this question must be completed in order. This part will be available when you complete the part above.
A set of strain rosette with three strain gauges at 120° apart is attached onto a steelstructure surface, point P for strain measurement. The state of stress at point P is thendetermined from the acquired strain measurement. The orientation of strain rosette isshown in Figure Q2. When the structure is being loaded the readings of the gaugesare 200μ, -100μ and -200μ at the directions of a, b and c respectively. a) Find the strains values in the x-y directions and draw the strain elementdiagram of that direction.b) Find the principal strain values and draw the strain element diagram of thatdirection.c) Find the maximum shear strain value and draw the strain element diagram ofthat direction.d) If the properties of the structure has E = 208 GPa and ν = 0.28, find themagnitude of the Principal Stresses and draw its stress element diagram.e) Give your comment without calculation on what happen to maximumprincipal strain of the steel (E = 208 GPa) is changed to titanium (E = 110GPa)?
The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The following readings are obtained for each gage: ea, eb, and ec. Note that e, is negative. Determine: • Shear strain yay • Principal strains e1 and e2 • The rotation angle (magnitude and direction) from x-axis to reach the principal orientation. Indicate direction as clockwise or counter-clockwise. epsilon_a = 4.50E-04 epsilon_b = 2.00E-04 epsilon_c = -1.00E-04 y а b 45° 45°