2-1. An air-filled rubber ball has a diameter of 6 in. If the air pressure within it is increased until the ball's diameter becomes 7 in., determine the average normal strain in the rubber.

Q: The strain at point A on the bracket has components P x = 300(10-6 ), Py = 550(10-6 ), gxy =…

A: Given data

Q: The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the…

A:

Q: The strain components εx, εy, and γxy are given for a point in a body subjected to plane strain.…

A: Given : εx = -1100 με εy = 490 με γxy = 1500 μrad θ  = 34°

Q: A rod has a radius of 10 mm. If it is subjected to an axial load of 15 N such that the axial strain…

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Q: The block is deformed into the position shown by the dashed lines. Determine the average normal…

A: From triangle ABP, The expression to calculate the length of line AB is, Substitute values in the…

Q: 2-11. Determine the plastic distorts as shown by the dashed lines. 3 mm y C 300 mm the shear strain…

A:

Q: Q1/ The copper pipe has an outer diameter of 3.0 in. and an inner diameter of 2.8 in. If it is…

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Q: The rubber block is subjected to an elongation of 0.03 in. along the x axis, and its vertical faces…

A: Given: The elongation along x-axis, ∆L = 0.03 in The angle turned by vertical face, θ = 89.3⁰ The…

Q: The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the…

A: for pt B  BD = AB*tan2o        = 3*0.0349        = 0.1047 m normal strain in wire BD will be

Q: The fiber AB has a length L and orientation u. If its ends A and B undergo very small displacements…

A: Given Length of the fiber L To find The normal strain

Q: *7-84. If the unstretched length of the bowstring is 8875 mm, determine the average normal strain in…

A: Given Data: The unstretched length of the bowstring is Li = 882.5 mm. The string can be redrawn…

Q: The copper pipe has an outer diameter of 3 in. and an inner diameter of 2.50 in. If it is tightly…

A: Given data

Q: The load P produces an axial strain of –1,800 µɛ in post (2). Determine the axial strain in rod (1).…

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Q: F7-25. When force P is applied to the rigid arm ABC, point B displaces vertically downward through a…

A: The normal strain of the wire CD = change in the length of wired CD/Initial length of CD. The given…

Q: 7-77. The wire AB is unstretched when e-45°. If a load is applied to the bar AC, which causes e to…

A: Given data: The angle of wire is θ = 47°. The unstretched length of wire is, Increased in length of…

Q: *2-4. The two wires are connected together at A. If the force P causes point A to be displaced…

A: CA=AB=300 mm In the right angle ∆AA"A' cos30°=A'A"2A'A"=1.732 mm

Q: The pin-connected rigid rods AB and BC are inclined at u = 30° when they are unloaded. When the…

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Q: Q3: The plate has a width of 0.5 m. If the stress distribution at the support varies as shown,…

A: Given :- width of plate(b)=0.5m   To find :- Force(p) and distance(d)

Q: The wire AB is unstretched when u = 45°. If a load is applied to the bar AC, which causes u to…

A:

Q: *2-4. The two wires are connected together at A. If the force P causes point A to be displaced…

A: L(AB) = 300 mm L(AC) = 300 mm Angle(A) = 600     Displacement due to force P= 2 mm.

Q: If the force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of 0.02°,…

A: Given data: Rotated angle, θ = 0.020 Drawing the rotation of the arm ABC: here, δB = displacement…

Q: 8 m 3 m 4 m T3 3m y 21

A:

Q: 7-83. The pin-connected rigid rods AB and BC are inclined at e- 30° when they are unloaded. When the…

A: Consider the diagram shown below for the initial condition.

Q: The plate is deformed into the dashed shape shown in Fig. 2-6a. If in this deformed shape horizontal…

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Q: When force P is applied to the rigid arm ABC, point B displaces vertically downward through a…

A: Given Data: The length of the wire CD is L = 300 mm. The displacement of point B is s = 0.02 mm.…

Q: 2-9. If a horizontal load applied to the bar AC causes point A to be displaced to the right by an…

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Q: The nylon cord has an original length L and is tied to a bolt at A and a roller at B. If a force P…

A: From the given diagram use the Pythagoras theorem in the triangle ABC to calculate the length AC.…

Q: *2-24. The rectangular plate is subjected to the deformation shown by the dashed lines. Determine…

A: Find the average normal strain along AC and AB

Q: 7- The state of strain at the point has components in the X-axis = -210x10-6, in the y-axis =…

A:

Q: The bar DA is rigid and is originally held in the horizontal position when the weight W is supported…

A: First, draw the free body diagram of the system: Use the proportion to evaluate the value of δED:…

Q: 2-11. If a load applied to bar AC causes point A to be displaced to the left by an amount AL,…

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Q: 2-3. The rigid beam is supported by a pin at A and wires BD and CE. If the load P on the beam causes…

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Q: 2-3. The rigid beam is supported by a pin at A and wires BD and CE. If the load P on the beam causes…

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Q: The block is deformed into the position shown by the dashed lines. Determine the average normal…

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Q: The beam has a constant E1I1 and is supported by the fixed wall at B and the rod AC. If the rod has…

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Q: *2-24. A square piece of material is deformed into the dashed position. Determine the shear strain…

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Q: The copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly…

A: Now calculate the shear stress at point A.

Q: 1.The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the…

A: Given data as per question Distance between A and B =200 mm Distance between A and H =200 mm…

Q: 2-3. The rigid beam is supported by a pin at A and wires BD and CE. If the load P on the beam causes…

A:

Q: 3. The clamp presses the two blocks of wood together while the wood glue between the blocks sets up.…

A: Given, Force at A and D = 300 N

Q: The two wires are connectec at A. If the force P causes point A to be dsplaced horizontally 2 mm,…

A: To determine the normal strain in each wire.

Q: at A has coordinates (0, 0). If a load P acts on the ring at 3 becomes EAB = 0.02 in/in., and the…

A: data providedthe length of  rod AB LAB = 5 in the length of rod Ac ,LAC = 8 in The normal…

Q: 7-73. The force applied at the handle of the rigid lever causes the lever to rotate clockwise about…

A: Solution:

Q: The force applied at the handle of the rigid lever causes thelever to rotate clockwise about the pin…

A:

Q: The A-36 steel post is subjected to the forces shown. If the strain gages a and b at point A give…

A: Given data: The required properties of A36 steel are: The area of the cross-section is The moment…

Q: *7-72. A thin strip of rubber has an unstretched length of 375 mm. If it is stretched around a pipe…

A: GivenUnstreched length=Lo=375 mmstreched length=Lf=π.dLf=π.125=392.69 mm

Q: 2-3. The rigid beam is supported by a pin at A and wires BD and CE. If the load P on the beam causes…

A:

Q: 7-71. An air-filled rubber ball has a diameter of 150 mm. If the air pressure within it is increased…

A: The initial diameter of the ball is, Di=150 mm The final diameter of the ball is, Df=175 mm

Q: F7-26. If the force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of…

A: The angle made by rigid arm, Also,

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.