The stresses shown in the figure act at a point in a stressed body. Determine the normal and shear stresses at this point on the inclined plane shown.
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- 2)For the supporting frame shown below: a) Determine the internal forces acting at section a-a. b) Determine the stress components that act at points A and B. IN = 2.6525x10-7 mª -300 mm 150 mm 2.5 kN a 12 mm 6 mm 6 mm 6 mm 36 mm'36 mm Section a – aThe stresses shown in the figure act at a point on the free surface of a machine component. If o = 24.6 ksi in the direction shown, determine the shear stress Txy at the point. 2.8 ksi Oy 5.0 ksi 24° O 11.45 ksi O 10.38 ksi O 8.35 ksi 9.30 ksi O 15.74 ksies 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 4
- The member shown has a rectangular cross section, determine the state of stress that loading produces at point C. 1.5m 1c T 250mm 2.5m 125mm 1.5m 50mm 4m + 2m 50kN/mProblem I. In a high-rise building construction, a boom is being used to efficiently transport materials from the ground to a certain level in the building. Shown below is a figure of the boom supporting the load P=223KN 100 mm 87.5 mm 2P 12.5 mm dia в -10 m- At the right is the support detail at B. a) What is the normal stress (in MPa) the boom is subjected to if its cross sectional area is 1174 mm² ? b) Calculate the shear stress in the pin (in MPa). c) If the allowable stress in the steel cable AC is 170 MPa, what should be size (diameter, in mm) of the cable to sufficiently withstand the force it is subjected to?Q3: Three segments of elliptical solid steel section, circular solid aluminum section and circular solid bronze section were assembled to form the shaft shown in Figure (3). Determine the generated stress in each material when the support at D is able to rotate until 0.035 radian based on the two torques T1 and T2 of 450 N.m and 750 N.m, respectively. 94= 834 v5? AL:28 1 Steel Ahminum Bronze T2 D= 70 mm D= 100 mm 1.5 m 1.5m 2.0 m 25 mm Figure (3) 145 mm
- 44 ksi 3 ksi 70 S ksi Given the state of stress above (ignore 70° plane): calculate the maximum shear stress, maximum principal stress and minimum principal stress in this order. Choose only one answer.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. SAPProblem 5.9 A solid steel bar has a cross section of side b and is supported as shown. Knowing that for steel p = 7860 kg/m3, determine the dimension b for which the maximum normal stress due to bending is 10 MPa. b А C D В O000 -1.2 m- -1.2 m- <1.2 m-
- Knowing that the maximum allowable stress is 43 MPa, determine the magnitude of the largest moment M that can be applied to the component shown. M B M' A qu 36 mm 150 mm 45 mm 135 mm The magnitude of the largest moment M that can be applied to the component is 14.41 kN.m.An aluminum bar having a cross-sectional area of 160 mm? carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B1= 0.8 m; B2= 1.0 m; B3= 0.6 m. Determine the axial stress of bar B3 in MPa. 35KN В1 B2 ВЗ 10KN 15KN 30KN5 - An aluminum circular shaft, fixed at both ends, is loaded by torques applied at points B and C, as shown in the figure. The bar material has a shear modulus G = 85 GPa. Plot the maximum shear stress and angle of twist along the length of the shaft. B D TB 0.5m Tc 0.9m с 0.4m 40mm ↑ TB=10KN-m Tc=15kN-m