A shaft is subjected to a force as shown in Fig. B Determine the state of stress at A L 1000 mm
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- A hollow aluminum tube used in a roof structure has an outside diameter d2= 112mm and an inside diameter d1= 80mm. The tube is 2.80m long, and the aluminum has a shear modulus of G= 28GPa.a. If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist, in degrees,when the maximum shear stress is 52MPa?b. What diameter d, in mm, is required for a solid shaft, as shown, to resists the same torque with the same maximum stress?c. What is the ratio of the weight of the hollow tube to the weight of the solid shaft?2.25. A system consists of two rigid end-plates, tied together by three horizontal bars as shown in Fig. 2-42. Through a fabrication error, the central bar, ②2, is 0.0005L too short. All bars are of identical cross section and of steel having E = 210 GPa. Find the stress in each bar after the system has mechanically been pulled together so that the gap A is closed. Ans σ-35 MPa σ = 70 MPa Fig. 2-42Refer to figure STR - 5 Two prismatic bars are rigidly fastened together and support a vertical load of 45kN. The upper bar is of steel having mass density 7750 kg/m^3 , length 10m and cross-sectional area 65 cm^2. The lower bar is of brass having mass density 9000kg/m^3, length 6m and cross-sectional area 50 cm^2. Determine the maximum stress in each material. For steel Es= 200 GN/m^2 and for brass Eb= 100 GN/m^2. I need answer ASAP. Thank you!
- 2. The assembly in Figure consists of a light rigid bar AB, pinned at 0, that is attached to the steel and aluminum rods. In the position shown, bar AB is horizontal and there is a gap, A = 5 mm, between the lower end of the steel rod and its pin support at C. Compute the stress in the aluminum rod when the lower end of the steel rod is attached to its support. 0.75 m 1.5 m A B Steel A = 250 mm? E = 200 GPa Aluminum L= 2 m A = 300 mm? E = 70 GPa Des A state of stress at a point is the result of two separate actions; one produces the pure shear of 35 MPa shown in figure A and the other produces the pure shear of 30 MPa shown in figure B. 35 MPa -19.86 degrees Y -17.04 degrees -X Figure A Which of the following most nearly gives the principal planes for the combined state of stress? Select the correct response: 35 MPa 30° Figure B 30 MPa 30 MPa 4A simply supported beam is loaded by the couple M=2000 N-m as shown. The beam has a channel-type cross section as illustrated. 3 cm 30 cm 3 cm 3 m -2m1 10.5 cm BI 12 cm M. Determine the maximum tensile stress in the beam. O 1.60 MPa 3.73 MPa )2.49 MPa O1.07 MPa Determine the maximum compressive stress in the beam. 3.73 MPa O 1.07 MPa 2.49 MPa O 1.60 MPa Determine the maximum shear stress in the beam. O 00588 MPa 0.0490 MPa 0.0653 MPa O 0.0667 MPa
- PROBLEM 1 Three 10mm wires are knotted at O and are in equilibrium. The forces exerted by each wire are as shown: A=3.5N, B =9N and C is unknown. What are the average normal stresses in each of the wires? A-3.5N 203. A rigid block of mass M is supported by three symmetrically spaced rods as shown in the figure. Each copper rod has an area of 900 mm²; E = 120 GPa; and the allowable stress is 70 MPa. The steel rod has an area of 1200 mm²; E = 200 GPa; and the allowable stress is 140 MPa. Determine the largest mass M which can be supported. Copper 160 mm M Steel 240 mm Copper 160 mmRigid bar BC is supported by aluminum rod (1) and bronze rod (2), as shown in the figure. Aluminum rod (1) has a diameter of 10 mm and a cross-sectional area of A1 = 78.54 mm2. The stress in rod (1) may not exceed 170 MPa. Bronze rod (2) has a diameter of 13 mm and a cross-sectional area of A2 = 132.73 mm2. The stress in rod (2) may not exceed 110 MPa. Assume that L = 1900 mm and a = 900 mm. Determine the largest load magnitude P (in kN rounded to the nearest tenths) that may be applied to rigid bar BC.
- 1. Determine the maximum tensile and compressive bending stresses in the beam shown. 6 kN A B C 120 1.0 m 1.2 m 2 kN -| 4090→ 40 |- Dimensions in mm 2. Find the lightest S-shape for the beam shown if the working stress in bending is 120 MPa. What is the maximum bending stress in the beam selected? 40 kN/m 4 m - 2.4 m 3. For the beam shown in the figure, find the shear stress at a point 30 mm above the bottom of the beam at section C. 50 mm | 14 kN E1.5 m – 3 m 100 mm I = 19.3 × 106 mmª B C A NA 62.5 mm 50 mm 2 m 100 mm 4. The simply supported wood beam, fabricated by gluing together four wooden boards, carries the three concentrated forces. The working bending and shear stresses for the wood are 1000 psi and 600 psi, respectively. Determine the largest allowable value of the force P. P 0.5 in. → -8 in.→+ 0.5 in. P 2 in. 2 ft -4 ft-+ 4 ft→ 2 ft 6 in. $2 in. SAPThree forces, each of magnitude P = 4 KN, are applied to the structure shown. Determine the cross- sectional area of the uniform portion of rod BE for which the normal stress in that portion is 100Mpa. 0.100 m D |B 0.150 m 0.300 m 0.250 mQuestion: The member shown in figure has a rectangular cross section. Determine the state of stress that the loading produces at point K. 30° 1 m F = 80 kN K a 180 mm 200 mm 100 mm 1,5 m 2 m 3 m Section a-a