please help solve and explain and include FBD please Stepped bar ABCD is fabricated out of three different materials and loaded as shown. The applied forces areFA = 2.5 kips, FB = 5.5 kips, Fc = 3.5 kips, and FD = 1.5 kips. Determine the deformation of each stepand the total deformation of stepped bar ABCD under the applied forces.• Step AB has length LAB =• Step BC has length LBC =Step CD has length LCD =•12 in, diameter dдB = 0.25 in, and is made out of steel.12 in, diameter dBc = 0.75 in, and is made out of aluminum.14 in, diameter dcp = 0.25 in, and is made out of copper.BFBAFACFCDFDFBFCLAB+LBCLCDTбав= number (rtol=0.01, atol=1e-05)in8BC = number (rtol=0.01, atol=1e-05)inбор =number (rtol=0.01, atol=1e-05)inJABCD =number (rtol=0.01, atol=1e-05)in

Answered: Image /qna-images/answer/2400cab8-4fdd-47ed-b73a-8f91c01483af.jpg

Stepped bar ABCD is fabricated out of three different materials and loaded as shown. The applied forces are FA 2.5 kips, FB = 5.5 kips, Fc = 3.5 kips, and FD = 1.5 kips. Determine the deformation of each step and the total deformation of stepped bar ABCD under the applied forces. • Step AB has length LAB = 12 in, diameter dAB = 0.25 in, and is made out of steel. • Step BC has length LBC = 12 in, diameter dBC = 0.75 in, and is made out of aluminum. Step CD has length LCD = 14 in, diameter dcp = 0.25 in, and is made out of copper. • B FB A FA C FC D FD T FB Fc T LAB LBC LCD SAB number (rtol=0.01, atol=1e-05) in SBC number (rtol=0.01, atol=1e-05) in SCD number (rtol=0.01, atol=1e-05) 8 ABCD = in number (rtol=0.01, atol=1e-05) in

Stepped bar ABCD is fabricated out of three different materials and loaded as shown. The applied forces are FA 2.5 kips, FB = 5.5 kips, Fc = 3.5 kips, and FD = 1.5 kips. Determine the deformation of each step and the total deformation of stepped bar ABCD under the applied forces. • Step AB has length LAB = 12 in, diameter dAB = 0.25 in, and is made out of steel. • Step BC has length LBC = 12 in, diameter dBC = 0.75 in, and is made out of aluminum. Step CD has length LCD = 14 in, diameter dcp = 0.25 in, and is made out of copper. • B FB A FA C FC D FD T FB Fc T LAB LBC LCD SAB number (rtol=0.01, atol=1e-05) in SBC number (rtol=0.01, atol=1e-05) in SCD number (rtol=0.01, atol=1e-05) 8 ABCD = in number (rtol=0.01, atol=1e-05) in

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.5.5P: A symmetrical framework consisting of three pin-connected bars is loaded by a force P (see figure)....

See similar textbooks

Similar questions

The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?
The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio RS/Wfor a material in tension is defined as Rs/w= in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress Uas the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.
A frame ABC is loaded at point C by a force P acting at an angle öf to the horizontal (see figure). Both members of the frame have the same length and the same flexural rigidity. Determine the angle a so that the deflection of point C is in the same direction as the load. (Disregard the effects of axial deformations and consider only the effects of bending due to the load P.) Note: A direction of loading such that the resulting deflection is in the same direction as the load is called a principal direction. For a given load on a planar structure, there are two principal directions that are perpendicular to each other.
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