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- 8. A brass bar having cross-sectional area of 1000 mm? subjected to axial forces as shown below. Find the elongation of the bar if Young's Modulus of the material is 1.05 x 105 N/mm?A round steel tension member 40 in. long is subjected to a maximum load of 6,500 lbf. (a) What should be its diameter in mm if the total elongation is 0.035 in.? (b) Determine the yield stress Sy and the ultimate stress Su if Nu = 6.0 and Ny =3.03. The vertical force F applied at A is 50 kN. Compute the minimumdiameter of the steel wire, if the allowed elongation on steel wire4mm and its stress is limited to 250 MPa. Use Est = 200 GPa. Answer: d = ___________________
- A circular rod of length 18 cm and diameter 5 mm is made of grade 1045 grade steel. a. Calculate the stress and strain in the rod, and its extension, when it is subjected to 7 kN of tension. (Express your answers using three significant figures.) |MPa E = x10-4 (Express your answer using whole numbers.) AL = | pm b. At what force would the rod begin to yield? (Express your answer using three significant figures.) F = |kN c. By what amount would the rod have to be stretched beyond its original length in order to yield? (Express your answer using whole numbers.) AL = umQuestion 1c. A bar is having a cross-sectional area of 700mm?, is subjected to axial loads at the position indicated. What is the value of stress in the segment QR? 21KN 2/3 63KN 35KN 49KN P. R Figure O le: Steel har ...5) A brass rod 8mm diameter and 400mm long fits centrally inside aluminum tube of the same length having an external diameter of 16mm and a wall thickness of 3mm. The rod and tube are rigidly connected at their ends so that they twist together when a torque of 20 Nm is applied. Galuminum = 30GPA; Gbrass = 40GPA. Determine: %3D a) The values of the torsional stiffness for the rod and the tube b) The torque transmitted by each c) The maximum shear stress in each d) The angle of twist
- A steel rod is stretched between two walls. At 20C, the tensile force in the rod is 5000N. If the stress is not to exceed 130MPa at -20C, find the minimum allowable diameter of the rod. Use a=11.17x10^-6C and E=200GPa. -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong. -Show complete solution and explanationSteel rod E-210 GPa L1.4m ? Aluminumi rod E= 70 GP A=10 cm L 0.7 m 21 A 5 cm 9 m d, Fig.(5)AB brass and BC from aluminum bar ABC in shape composite rod was obtained. Composite rod B 0.05 mm opening at the point, the elongation of the rod There is a rigid obstacle preventing it. Composite rod 30 when pulled with kN; a) the displacement of point C, b) Find the stresses in bars AB and BC. (Ep = 105 GPa, Eal = 70 GPa) dimensions in mm
- A steel rod is stretched between two walls. At 20C, the tensile force in the rod is 5000N. If the stress is not to exceed 130MPa at -20C, find the minimum allowable diameter of the rod. Use a=11.17x10^-6C and E=200GPa. -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong. -Show complete solution and explanationA stress-strain diagram for a tension test of an alloy steel sample is shown in the diagram below. The initial sample diameter is 0.502”, the diameter of the fractured sample is 0.412”, the original gage length is 2.00” and the final length after fracture is 2.78”. Determine/ calculate the following: (a) The stress at the proportional limit. (b) The modulus of elasticity (E). (c) The yield stress using the 0.2% offset method. (d) Theultimatetensilestrength. (e) The rupture stress. (f) The percent reduction in area. (g) The percent elongation. (h) Is the material considered ductile or brittle?The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 510 mm? and a length of L1 = 2.6 m. Rod (2) has an area of A2 = 360 mm? and a length of L2 = 1.5 m. Assume dimensions of a = 3.7 m, b = 1.3 m, and c = 1.7 m. After a load of P = 110 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the deflection of the rigid bar at D. y,v (2) L2 a B D x,u Rigid bar b. (1)