1. Determine the maximum compressive and tensile stress in beam AB as shown in the figure and draw the stress distribution over the cross section at this location.
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- 6. A simply supported beam and its cross-section is shown in the figure. a- Draw the complete shearing force and bending moment diagrams. b- Determine the value of the side of the square (a) if the safe bending stress in the material is 100 MN/m?. c- Determine the maximum shearing stress in a section 1.3 m from A. 10KN/m 15KN.m a a A B a a 2m 2.5m 5m Cross sectionThe 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 ksi20 ksi 40 ksi 60 ksi The differential element above represents the state of plane stress at a point in a steel beam. Which of the following best represents the magnitude of the second principal stress (02) at the point? 76.6 ksi O 63.3 ksi 36.6 ksi 60.0 ksi
- The stresses shown in the figure act at a point on the free surface of a machine component. If o = 22.4 ksi in the direction shown, determine the shear stress Txy at the point. Txy O 14.48 ksi 11.51 ksi O 13.53 ksi O 10.63 ksi O 8.84 ksi 5.0 ksi 24° 2.8 ksi%3D QUESTION 2. An oblique bending moment of M = 5 kN.m is applied on the cross-section of an aluminum beam as shown in the figure. (a) Calculate the maximum values of compressive and tensile normal stresses on the crss section. (b) Define the orientation of the neutral axis and draw on the cross-sectionç. M = 5 kN.m 30° 10 mm 40 mm 10 mm A-40 mm--r: 30 mm 30 mm 10 mm 10 mm44 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.
- Please explain (6) A 150 mm x 20 mm steel plate is subjected to a pull of 120 KN along its longitudinal centroidal axis. A hole of 40 mm diameter is drilled through the plate whose centre is 50 mm from the original longitudinal axis of the bar as shown is figure. Determine the extreme stress induced. 120kN 75mm 75mm- T 40 mm 1 50 mm mm 120 kN X 20mm Section 1-1 50 mm 150mm-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 – aA clamped beam is loaded by a uniformly distributed force of w = 2 kN/m as shown in the figure. The allowable tensile stress of the beam material is 90 MPa and the allowable compressive stress is 300 MPa. a) Locate the section that is critical for the bending stress values and calculate the bending moment value on this section. b) Figure out if the beam can carry the distributed load safely. 90 mm 10 mm A 10 mm 90 mm 1 m 1 m
- 12 +bh,d+bh 12 + b₂h₂d² Question 1.8 A box beam shown in Figure Q1.8 is subject to a bending moment about the z axis. The normal stress with the maximum magnitude due to the bending moment occurs at A IC B 4 Figure Q1.8 O a. Point C O b. Point A Oc. Point B O d. Point D4.48 A thin rod of 10 mm diameter is subjected to a tensile force of 7850 N. What are the principal: stresses and maximum shear stress? (a) 70 MPa, 50 MPa, 10 MPa (b) 100 MPa, zero, 50 MPa (c) 100 MPa, 50 MPa, 25 MPa (d) 100 MPa, zero, zeroFor a beam with the cross-section shown and loaded as shown, find the magnitude of the maximum bending stress in the beam. The moment of inertia about the z axis is 257,633 mm4, the centroid of the section is located 19.67 mm above the bottom surface of the beam, and M = 415 N-m. M (A) 66.1 MPa B) 35.9 MPa C) 48.9 MPa (D) 58.1 MPa (E) 52.1 MPa N M X 8 mm N 8 mm į 50 mm 8 mm ... 50 mm