IB applied at point B of the frame seen below forcing point B to move 2.0 mm to the right. rmine the normal strains in members AB and BC in microns. (9 points)
Q: Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC is 8 in. long, and the…
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Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: Answer: (a) Average normal strain = 0.0833 in./in. (b) Circumfential strain = 0.0833 in./in.
Q: The rigid bar AB is supported by a pin at A and by the wire BD. 2,5 m If the load P causes point C…
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Q: 2.44.The distribution of stress in a structural member is given (in megapascals) by Eqs. (d) of…
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Q: Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring…
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Q: The stress-strain diagram for a steel alloy having an original diameter of 0.40 in. and a gage…
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Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: INTRODUCTION: As we know, strain is always the change in body dimension to the original body…
Q: A steel cable is used to support an elevator cage at the bottom of a 2400-ft-deep mineshaft. A…
A: Given Data: ◆ The uniform normal strain in the cable due to weight of the cage: εuniform = 300…
Q: 4. In the truss shown, all members are made of the same material and have the uniform circular…
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Q: O crcular rod with a crass- section o4 100 mm is subjected to an axial compreseire force af 7okN.…
A: Answer: 1. The axial strain on the rod length is : -0.07 2. Lateral strain : 0.0231 3. The original…
Q: What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear…
A: Given: The maximum principal strain is ϵ1=ϵXY/2. The minimum principal strain is ϵ2=-ϵXY/2.
Q: A rigid steel bar ABC is pinned at B and supported by two rods at A and C. There is no strain in the…
A: The change in the length of rods can be determined as,
Q: The normal stresses at a point in a steel member are σx = 8 ksi, σy = -4 ksi, and σz = 10 ksi. Using…
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Q: The rigid bar AB, attached to two vertical rods as shown in Fig. below, is horizontal before the…
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Q: 40 kN 30 kN 20 kN 20 kN it H G F 4 m A E- В с D 16 m, 4 x 4 m
A: according to the given details in the question.
Q: Find the elongation when it is subjected Select one: Ⓒa. 0.004 mm b. 0.4 mm c. 0.0004 mm d. 0.04 mm…
A: Given data: ◆ The length of the steel rod: L = 100 mm ◆ The tensile strain in the rod: ε = 0.004…
Q: 2.31 The normal stresses at a point in a steel member are dx = 8 ksi, ay = -4 ksi, and ₂ = 10 ksi.…
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Q: rod ABC is applied with axial loading as shown in Figure Q4(a). Using E = 200 GPa, determine (i) the…
A: Given:E=200 GPaP=36 KNd=16 mmD=20 mmLAB=600 mmLBC=900 mm
Q: Find the initial length if value of strain 0.0022 and change in length 0.25 mm
A: Given data: Strain=εChange in length=∆LRequired:Initial length
Q: A steel cable is used to support an elevator cage at the bottom of a 2100-ft-deep mineshaft. A…
A: Given:l=2100 ftuniform normal strain, εn=240μin/inD=2100ftd=500ft
Q: A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A…
A: Given Data: ◆ The uniform normal strain in the cable due to weight of the cage: εuniform = 240…
Q: A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are…
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Q: The system shown to the right is made of two members, Member AC is completely rigid (it will not…
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Q: 1. At a critical point on the free surface of a loaded beam, the strains are measured in three…
A: Only one question is allowed to solve.
Q: The normal stresses at a point in a steel member are o, = 8 ksi, a, = -4 ksi, and a, = 10 ksi. Using…
A: Given Data: Poisson's ratio, v=0.3 Elastic modulus, E=29x103 ksi
Q: 3) An eccentric force P is applied as shown in Fig. 2 to a steel bar of 25 x 90-mm cross section.…
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Q: A thin stainless steel [E - 190 GPa; G- 84 GPa) plate is subjected to biaxial stress. The strains…
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Q: Figure Q4 (a) shows an L-bracket ABC which lies in the horizontal plane. It is made from a material…
A: Disclaimer: Since you have posted multiple questions we will solve the first question for you. If…
Q: A load of P = 20KN is applied to the rigid bar AB at points D and E, as shown in the figure. If they…
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Q: Problem 3: For a given strain gage below; Ea = 0.001 %3D Eb = 0.002 ɛc = 0.004 60 60 Using the above…
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Q: A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are e, = 0.40…
A: Stress in x-direction, σx = 63.3 MPa. Stress in y-direction, σy = 55.2 MPa.
Q: A 45° strain rosette (see figure) mounted onthe surface of an automobile frame gives the…
A: The strain transformation equations aregiven below which can be used to determine the principal and…
Q: Problem 2) As a result of loading, the rectangle with a = 25 mm and b = 18 mm deforms into a paral-…
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Q: PROBLEM 1. The state of strain at a point on an experimental aircraft wing has components, E. = 300…
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Q: Problem (7.4): An element of material subjected to plane strain (see figure 7.33) has strains as…
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Q: 2 pts) The rigid L-shaped bar show below is supported by pin at A, steel rod at L, and titanium rod…
A: Free Body Diagram:
Q: 2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are Ex 0.40…
A: Given data: The strain in the x-direction is εx=0.4×10-3 The strain in the y-direction is…
Q: The state of strain at a point on a wrench has components E = 120(10-6), Ey = -180(10-6), Yzy=…
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Q: The 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa =…
A: Write the given data:
Q: Ex4: Determine the average normal strains in the two wires in Fig. 2-5 if the ring at A moves to A'.…
A: FREE BODY DIAGRAM is a diagram of the system which represents all the forces acting on the system.…
Q: For the steel plate with the plane stress state shown. If E 200 GPa, v = 0.3 and a=12*10 /C. if this…
A: Given: The modulus of elasticity, E = 200 Gpa The Poisson ratio, ν = 0.3 The coefficient of thermal…
Q: 1. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are Ex 0:40…
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Q: Find the axial stress in rods AB and BC. AB has a diameter of 25 mm and BC has a diameter of 15 mm.…
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Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
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Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: Given data Initial Diameter = d = 1.95 inFinal Diameter = D =2.05 in
Q: B 60 5 in. 8 in. A P 6. Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC…
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Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: Find the strain along diameter and circumferential .
Q: A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The outside and…
A: Answer: (a) The load P is 74.1353 kN. (b) The shortening of the tube is -0.4686 mm and the percent…
Q: The normal stresses at a point in a steel member are σx = 8 ksi, σy = -4 ksi, and σz = 10 ksi. Using…
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Q: If the in-plane principal strains are of opposite signs, then theabsolute maximum shear strain…
A: Given Data⇒in-plane principal strains are of opposite signsProblem definition⇒Problem says If the…
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- An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.
- A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?Solve the preceding problem if the cross- sectional dimensions are b = 1.5 in. and h = 5.0 in., the gage angle is ß = 750, the measured strains are = 209 × 10-6 and B = -110 × 10, and the material is a magnesium alloy with modulus E = 6.0 X 106 psi and Poisson’s ratio v = 0.35.
- 1.A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are epsilon_{x} = 0.40 * 10 ^ - 3 and epsilon_{y} = 0.30 * 10 ^ - 3 determine and Use sigma_{y}; E = 110 GPa and y = 0.35 . sigma_{x}. Use E= 110 GPa and v=0.35. Show complete free body diagram.5 decimal places Determine the total strain (mm/mm) of a 2.64-m bar with a diameter of 21 mm subjected to a tensile force of 71 kN at a temperature increase of 49 C°. Consider the α=27.3 µm/mC° and E = 122 GPa.The state of strain at a point on a wrench has components ϵx = 120(10-6), ϵy = -180(10-6), γxy= 150(10-6). Use Mohr's circle to solve the problem. Determine the orientations of the element at which the principal strains occur. θp1= θp2=
- The 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa = 650(10-6), ϵb = -550(10-6), and ϵc =470(10‑6). Determine (a) the in-plane principal strains and (b) maximum in plane shear strain.Determine the average normal strains in the two wires in Figure if the ringat A moves to A′.What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear strain equals the maximum in-plane. True or false?