Determine reaction at D and C
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The bar AD and BC is C83400 brass.
The bar AB is A-36 steel.
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- 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 tension member constructed of an L inch angle section (see Table F-4(a) in Appendix F) is subjected to a tensile load P = 12.5 kips that acts through the point where the mid-lines of the legs intersect (see figure part a). Determine the maximum tensile stresser, in the angle section. Recompute the maximum tensile stress if two angles are used and P is applied as shown in the figure part b.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 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 crank arm consists of a solid segment of length bxand diameter rf, a segment of length bltand a segment of length byas shown in the figure. Two loads P act as shown: one parallel to — vand another parallel to —y. Each load P equals 1.2 kN. The crankshaft dimensions are A] = 75 mm, fr> = 125 mm, and b3= 35 mm. The diameter of the upper shaft isd = 22 mm, (a) Determine the maximum tensile, compressive, and shear stresses at point A, which is located on the surface of the shaft at the z axis. (b) Determine the maximum tensile, compressive, and shear stresses at point B, which is located on the surface of the shaft at the y axisTwo steel rods are welded together (see figure): the seam is oriented at angle ? = 50°. The stresses on the rotated element are sx1=10 ksi, sy1= -12 ksi, and tx1y1= -5 ksi. Find the state of plane stress on the clement if it is rotated clockwise to align the x3 axis with the longitudinal axis of the rods.
- The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.Example Problem: 4-31 (modified) The concrete column is reinforced using four steel reinforcing rods, each having a diameter of 18 mm. Determine the stress in the concrete and the steel if the column is subjected to an axial load of 800 KN. EST= 200 GPa and Ec = 25 GPa. Represent the stress in each with a volume element. 300 mm 800 KN 300 mm
- 10/10 find the tensile stress in upper plate in section 3-3 5. 1 4 80 kN 80 kN 8-bolt DIA. 10 MM 80 kN 80 kN 8-bolt DIA. 10 MM 2) 300 mm 8 mmAssemble a pair of parts A and B with serrated teeth as shown in the figure on the right.A compressive load of 24 kN is acting on the combined structure.The compressive load is transmitted by the three meshing teethTo. Shear stress and compressive stress (contact) generated in the tooth at this timeFind each tactile stress.Given:a. the force in BD=25KNb. vertical reaction at point C=-10KNc. horizontal reaction at point C=15KNd. resultant of reaction at point C=18.0KNe. allowable tensile (normal) stress in member BD =83.33MPaf. the allowable shear stress in the pin at C =72.7MPaPlease help me solve for:1. What is the required cross-section area and minimum thickness t of member BD?2. What is the required SHEAR cross-section area at point C?3. What is the minimum diameter for the pin at C?(Solve for a value with the combination of mm and N)