Figure Q3 shows a steel bar of diameter 16 mm and length 600 mm subjected to axial forces If E = 210x10' N/mm2 for steel, determine the change in its length. 5kN 7kN IKN 3kN 16mm 200 - 200 - – 200 mm mm mm Figure Q3: Bar subjected to various forces

Figure Q3 shows a steel bar of diameter 16 mm and length 600 mm subjected to axial forces If E = 210x10' N/mm2 for steel, determine the change in its length. 5kN 7kN IKN 3kN 16mm 200 - 200 - – 200 mm mm mm Figure Q3: Bar subjected to various forces

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...

See similar textbooks

Similar questions

Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-: plane). Assume each bolt cart ics an equal share of the total force.
A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).
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?
Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
a 12mm thick steel tire has a width of 110mm and an internal diameter of 800mm. It is heated and shrunk onto a steel wheel 800.50mm in diameter. The modulus of elasticity of steel is 200gpa. Which of the following most nearly gives the comprehensive pressure between the tire and the wheel? A 3.30 mpa B 3.90 mpa C 3.75 mpa D 4.35 mpa
The wires AB and AC are made of steel, and wire AD is made of copper. Before the 150-lb force is applied, AB and AC are each 60 in. long and AD is 40 in. long. If the temperature is increased by 80F, determine the force in each wire needed to support the load. Each wire has a cross-sectionalarea of 0.0123 in2. Take Est = 29(10 3) ksi, Ecu = 17(10 3) ksi, fast = 8(10 6)>F, acu = 9.60(10 -6)>F.
The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.
From the figure shown, Material 1 (brown) is enclosed inside Material 2 (grey). If there would be a load directly applied on material 2, what should be the minimum inside diameter of material 2, so that there is no contact pressure between the material 1 and material 2? Force P = 357.5 kN Diameter of Material 1 = 88.75 mm Poisson's Ratio = 0.355 Modulus of Elasticity of Mat. 1 88.56 x 10 9 N/m^2 Note: Final answer in 4 decimal places.
The pressure in a cast-iron water pipe is 180 psi. If the inside diameter of the pipe is 15 in. and the allowable unit stress in tension is 2000 psi, what should be the thickness of a shell of the pipe, expressed as a multiple of 1/8 in. A. 3/4 in. B. 5/8 in. C. 1/2 in. D. 3/8 in.
Material A (shown below) is experiencing forces shown below at different points along its body. If the area of its cross section is equal to 0.35 in^2, determine the total new length of the material if modulus of elasticity is equal to 5x10^6 psi. AB =4 ft BC =4.5 ft, CD = 3.5 ft. Note: Final Answer in 4 decimal places.
Four 10 kg masses are being supported by an 800mm solid rod. The rod is being supported at both ends, and the rest of the rod is suspended. Determine the smallest rod diameter to support the masses without bending the rod. Assume the Tensile Strength of the Rod material is 500 MPa