The uniform steel (E =200 GPa) bar in Fig. has a diameter of 40 mm and is subjected to the loading shown. Determine the displacement of sections A, B, and C, relative to D. Show the displacements on a diagram.
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Distance from point A to B 200mm, from B to C 200mm, and from C to D 200mm.
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- Consider the joint steel bars below. If 50,000 lb force is applied at point A, determine the displacement of point A along x and y axis, and the normal reactions in the supports. Assume EST = 29 x 10° psi. Area of steel bar is 2.5 in². 50 000 16 50 15 in A 10 in 10 in 15 inQuestion 3: The cast iron of a small press has a cross section as shown. For Q = 16-kips, determine: a- the maximum tensile and compressive stresses at section a-a. b-the amount of tensile or compressive force applied to the inner part (2"x12") of the section. Answers: a: σ =2,992-psi (T) A σ = -5,650-psi (C) B b: F 51,072-lbs in tension 15 in. el B 2 in. 8 in. 3 in. 5 in. 2 in. 5 in. Cross Section a-aF2 Q1) Axial displacement of point C in the system shown on the left is 0.01 cm. Find the maximum elongation of the bar and the maximum normal stress. A F1 A. GIVEN: F2 = 100 kN, (1 = 240 cm, €2= 160 cm, bi = 5 cm, bz=10 cm, h=5 cm, E=2.107 N/em², a=20 cm Note: neglect stress concentration. h bị b2 A-A section
- 1. The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of B with respect to C and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Aluminum Eal = 70 GPa AAB = 58 mm² 9 kN A Copper Ecu = 126 GPa ABC = 77 mm² 450 mm 16 kN 斤。 16 kN -300 mm BL Steel Est = 200 GPa ACD = 39 mm² 8 kN 8 kN -400 mm 7 kNThe assembly consists of three titanium (Ti-6A1- 4V) rods and a rigid bar AC. The cross-section area of each rod is given in the figure. If a force of 60 kip is applied o the ring F, determine the horizontal displacement of point F. Hint: Refer to the textbook appendix for material properties. AEF 2 in² 1 ft = 60 kip F-2 ft- 2 ft A C 6 ft B AAB = 1 in² E ACD = 1.5 in² 6 ft DThe steel bar shown has a 100 mm by 25 mm rectangular cross section. If an axial force of P = 180 kN is applied to the bar, determine the maximum normal stress (in MPa) acting in the bar. Note: Your submitted answer should not include units. 100 mm Answer:
- The assembly consists of three steel rods (E=13 x 106 psi) and a rigid bar AC. The cross-sectional area of each rod is given in Figure 1. If a force of 6.5 kip is applied to the ring F, determine the horizontal displacement of point F. D 4 ft AcD = 1.5 in? 2 ft F E 1 ft 6.5 kip 1 ft AEF = 2.1 in? A AB = 1.3 in? 6 ft Figure 1The beam is made of southern pine for which E, = 13 GPa. Take that a = 160 mm and b = 100 mm. (Figure 1) Determine the displacement at A. Express your answer to three significant figures and include the appropriate units. A4 = 57.89 m Figure 1 of 1 15 kN 4 kN/m 1.5 m- 3 mBoth portions of the rod ABC are made of an aluminum for which E = 70 GPa. What is the corresponding displacement at B in millimeter if P = 57 kN and Q = 397 kN?
- Determine the total elongation or deformation in the steel bar. Given: P1= 5kN P2=27kN P3=32kN P3 A 13 mm 3.5 m 20 mm B 3 m P₂ C 20 mm 3 m P₁The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. A force of P = 42 kip is applied to the ring F. Part A Determine the horizontal displacement of point F. Use Et = 17.4(10³) ksi. Express your answer to three significant figures and include appropriate units. SF HA Value Submit Request Answer Units ? AF = 2 in² 1 ft F 2 ft P 2 ft A E 6 ft AAB = 1 in ² Acp=1.5 in² 6 ft B Da=2.1m (1) c = 2m b = 3.1m d = 1.8m P = 80 kN WHAT IS THE AXIAL STRESS IN ROD 1 ? ANSWER IN MPa ROUNDED-OFF TO 2 DECIMAL PLACES B dia. of rod 1: = 13mm dia of rod 2 = 11 mm