A cylindrical rod of steel (E = 207 GPa), 4mm in diameter is to be deformed by a tensile force. Determine the force (in N) that will produce an elastic reduction of 2.5 x 10-3mm in diameter if Poisson’s ratio is 0.30. Show complete solution and formulas used.
Q: Figure P-251 A L= 5 ft L= 3 ft 2 ft 6000 4 ft 4 ft
A:
Q: 2. A steel beam with the cross section is shown in the following figure. Calculate elastic and…
A: Given Data: The plastic moment of the cross-section is, Mp=150 kN-m The cross-section of the beam…
Q: - Find the value of lateral strain of a compressi testing machine whose cylinder diameter is 250 mm…
A: Given data- Cylinder diameter(D)=250 mmChange in diameter∆D=0.0150 mmYoung ModulusE=0.13×105 N/mm2…
Q: A 59 kN axial load is applied to a metal bar with a rectangular cross-section, 11 mm wide by 21 mm…
A:
Q: A bar tapers from a diameter of 140 mm to a diameter of 80 mm over its length of 4 meters and is…
A:
Q: An aluminum block show in Figure 9 is subjected to uniform pressure on all faces. If the chang ein…
A:
Q: As shown in the figure, a nigid beam with negligible mass is pinned at one end and supported by two…
A: Let,Ts=Tension in the steel rodTA=Tension in the Aluminium rod R=reaction at hinge support,from FBD…
Q: Calculate the depth of compression block of the section in PART A in mm.0
A:
Q: 2,650.25 meters when temperature was 15°C and the pull was 40N supported only at quarter points. The…
A:
Q: In your solutions, determine the: 1. X component of the resultant force 2. Y component of the…
A: Consider the figure,
Q: bar of a certain material has 50 mm x 50 mm cross-section. When it is subjected to an axial pull of…
A:
Q: As shown, three steel wires, each 27 mm2 in area, are used to lift a mass M. Their unstretched…
A:
Q: The figure above is a skycam which is supported by 2 wires (assume that no wires holding at the top…
A:
Q: Determine the value of stress if modulus of elasticity is 62 MPa and strain value is 0.0025
A: GIVEN: Modulus of Elasticity = 62 MPa Strain = 0.0025 TO CALCULATE: Stress CONCEPT: STRESS =…
Q: In this figure is a strut and a cable which was used to lift a body, if the strut and a cable has a…
A: we have to determine the value of maximum weight of the body according to the given data like we can…
Q: 1. A steel rod with a cross-sectional area of 140 mm? is placed between two fixed supports. The…
A:
Q: 13. As shown in the figure, a homogeneous 100-kg rigid block is suspended by the three springs whose…
A:
Q: Figure Q4 shows a structure with an applied load P at joint C. If the cross-sectional area and…
A: Solution: We will find load in each member by section method Section about AB…
Q: Three uniform 1-meter bars weighing "W" each are welded together as shown. The bars are suspended by…
A: Given: The length of the bars is 1 m. The tension at B is 250 N.
Q: A solid circular rod with a diameter of d = 19 mm is shown in the figure. The bar is made of an…
A: Given data: Diameter of the rod (D) = 19mm Modulus of elasticity of the aluminium (E) = 70 GPa = 70…
Q: 2.5 m 3.2 m (1) 0 m (2) 2.3 m B V P
A:
Q: Determine the minimum cross-sectional area in in? of a steel bar required to support a tensile force…
A: Solution Given Data Tensile Force P= 68 kipsAllowable unit stress σallow= 30 ksi
Q: 2.83 Surface tension can be found by measuring the force to lift a plate: ↑ F W = weight w = width…
A: Using the free body diagram the value of surface tension can be evaluated. Knowing that surface…
Q: A bar of 30 mm diameter is tested in tension. It is observed that when a load of 80 kN is applied,…
A: Given data:
Q: 1. (a) A (110+X) mm long cylindrical rod is subjected to an axial tensile load of 110 kN, and a…
A: Determine, (i) shear stress, (ii) modulus of elasticity of the material(E).
Q: Determine the allowable value of force P (in Newtons), if a bar of diameter d = 31 mm and length L =…
A:
Q: A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P =…
A: Given data in question Load Diameter Length Change in Diameter To find out Elasticity modulus…
Q: 1- Consider the unit cube shown in the Figure, which undergoes the deformation: x₁ = α (X₁ X₂), x₂…
A:
Q: 9. A 200 kgf load is applied to a steel bar of cross section area 6 cm?. When the same load is…
A:
Q: For the loading situation given in the figure; a) Find the principal axes of inertia and show them…
A: O is the centroid of given cross section x and y are centroidal axis Ix=50×150312+50×150×12522×2…
Q: An arbitrary material has an elastic modulus of 118 GPa. How much tensile force was applied to a 100…
A: we have E = 118Gpa 100 mm long cylinder with 10 mm dia and redution in area = 0.1 % and poissons…
Q: How much will a steel rod lengthen under tension with the following considerations? The steel rod is…
A:
Q: A line was found to be 2865.35 m long when measured with a 30-m tape under a steady pull of 6.5 kg…
A: Tm=30oC To=20oC L=2865.35m
Q: Instructions What is the minimum diameter of a solid steel shaft that will not twist through more…
A:
Q: A 30m tape weighing 0.90kg has a cross-sectional area of 0.0485cm2. The tape measures 30m when…
A: Given information: Length of the tape, L = 30 m Weight of the steel tape, W = 0.90 kg. Cross…
Q: Example 8.3 A steel specimen of 12 mm diameter extends by 6.31 x 10-2 mm over a gauge length of 150…
A: Given data Diameter of speciment (D) = 12 mm Gauge length (L) = 150 mm Twisting moment (T) = 10 N…
Q: The simply supported beam given in the figure is 8-meter-long and loaded with a uniformly…
A: It is required to determine the maximum bending moment. Mmax=wL28=15 kNm×1000 N1 kN×8 m28=120×103…
Q: A beam with circular cross-section and diameter of D = 273 mm is subjected to a bending moment about…
A: Using formula:σ=MyII=πd464y=d2
Q: A 20-cm-diameter steel rod is subjected to a tensile load of 1000KN at one end and is fixed at the…
A:
Q: A steel bar with a thickness 5 mm is to carry a load of 2000 N. Using the direct method, determine…
A: Given Data: Thickness of the steel bar is t=5 mm. Load T=2000 N. Modulus of elasticity is E=200 GPa.…
Q: Determine the allowable value of force P (in Newtons), if a bar of diameter d = 29 mm and length L =…
A:
Q: A rod of diameter 50 cm and length 6 m is hanging vertically and carries an axial load of 10 kN at…
A: Given:- The diameter of the rod = 50 cm = 0.5 m The length of the rod = 6 m The magnitude of an…
Q: SHOW COMPLETE ANSWER AND ILLUSTRATION FINAL ANSWER IN 3 DECIMAL PLACES Problem 4: A steel bar 50…
A:
Q: A steel tape is 100 m long at a temperature of 20°C and a pull of 10 kg. It was used to measure a…
A:
Q: The strain components & & and Yxy are given for a point in a body subjected to plane strain.…
A: In the analytical method strain at any plane located at an angle Ꝋ with the given plane can be…
Q: 4 m 450 mm B 50 mn 50 mn 350 mm 50 mm Figure la Figure Ib Before a diver jumps into the water,…
A:
Q: 6. The system of knotted cords shown in figure below support the indicated weights. Compute the…
A: First step Draw free body diagram of the whole system remove all support with external tension on…
Q: Q 2. For the symmetrical section in figure 2 shown below, calculate B mm 350 mm 0.8 B mm Figure (2)…
A:
Q: A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the…
A: We will draw Free Body Diagram for each section.
Q: An elastic cube prism has dimension of a=200 mm is placed in two rigid plates as shown in the…
A:
A cylindrical rod of steel (E = 207 GPa),
4mm in diameter is to be deformed by a
tensile force. Determine the force (in N)
that will produce an elastic reduction of
2.5 x 10-3mm in diameter if Poisson’s
ratio is 0.30.
Show complete solution and formulas used.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. b C P Steel: A = 900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0m E= 200 GPa L = 1.5m What is the value of P without exceeding the allowable stress of steel, in kN? 250 340 280 O230SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c = 1.7m. a b C Steel: A-900 mm E = 200 GPa L=1.5m Bronze: A 1200 mm E=83 GPa L=2.0m What is the ratio of the elongation of steel to bronze? 0.367 0.433 0.467 0.333
- 30. An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.33, what will be the lateral strain? E= 6/8 v = -E(lateral)/(axial)SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b C P Steel: A-900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0 m E = 200 GPa L=1.5m What is the value of P without exceeding the allowable stress of bronze, in kN? O 161 O 174 O 145 124 4SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c = 1.7m. b C NANTSELEINE Steel: A = 900 mm² E = 200 GPa L=1.5m Bronze: A=1200 mm² E=83 GPa L=2.0m What is the ratio of the elongation of steel to bronze? O 0.367 O 0.433 O 0.467 0.333
- GIVEN: Bar has a cross-sectional area of 4 in? and is placed between two rigid immoveable supports when it is 30.00 inches long at a temperature of -20°F. REQ’D: A) The stress in the bar at 90°F if it were made of steel. Esteel = 10 x 10° psi asteel = 13 x 106/°F B) The final length of the aluminum barSITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b I Steel: A 900 mm Bronze: A E 200 GPa E 83 GPa L-2.0m L=1.5m What is the value of P without exceeding the allowable stress of steel, in KN? 230 250 280 340 1200 mm- An aluminum right-circular cylinder surrounds a steel cylinder as shown. The axial compressive load of 200 kN is applied through the rigid cover plate shown. If the aluminum cylinder is originally 0.25 mm longer than the steel before any load is applied, find the normal stress in each when the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa, a = 12 x 10-6/° C, and for aluminum assume E = 70 GPa, a = 25 x 10-6/° C. 200 kN Ans. ost = 9 MPa, oal = 15.5 MPa 80 mm- 85 mm- 141 mm. 500 mm
- Given: A steel rod (A = 150mm^2) is stretched between two fixed points with a tensile load of 5000N at 20degree C. determine: a) the stress at -20 degree C b) at what temperature will the stress be zero *DRAW THE FBD: COMPLETE SOLUTION *USE 3 DEC PLACES200KN A steel rod is rigidly attached between an aluminum and bronze rod. The diameters of each material are shown in the figure. A fixed support is rigidly attached to the right end of the bronze rod. Determine the stress each section in kPa. Aluminum Steel D=28mm D=20mm 20KN Bronze D=25mm 150KNSTRENGTH OF MATERIALS. Please show the complete solutions. Rate will be given. Answer in 3 decimal places! The aluminum shaft consists of two segments AB and BC (G=27 GPa). Shaft AB is a solid shaft with a diameter of 60 mm. Shaft BC is a hollow shaft with an outside diameter of 60 mm and an inside diameter d1. If the total angular deformation from A to C is not to exceed 4.30 degrees, solve the value of d2. Express the answer to the nearest even number. Using the value of d1, calculate the amount of shear stress developed in segment BC.