1 / 15

PROBLEM-1

PROBLEM-1. State of stress at a p oin t is represented by the element shown. Determine the state of stress at the p oin t on another element orientated 30  clockwise from the position shown. PROBLEM-1. PROBLEM-1. PROBLEM-2.

bowie
Download Presentation

PROBLEM-1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. PROBLEM-1 State of stress at a point is represented by the element shown. Determine the state of stress at the point on another element orientated 30 clockwise from the position shown.

  2. PROBLEM-1

  3. PROBLEM-1

  4. PROBLEM-2 State of plane stress at a point on a body is represented on the element shown. Represent this stress state in terms of • the maximum in-plane shear stress and associated average normal stress, and • the in-plane principal stress and its orientation.

  5. PROBLEM-2 • The maximum in-plane shear stress and associated average normal stress. qs = 21.3o

  6. PROBLEM-2 2. The in-plane principal stress and its orientation.

  7. PROBLEM-2 Principal stress orientation. qp = – 23.7o

  8. PROBLEM-3 Steel pipe has inner diameter of 60 mm and outer diameter of 80 mm. It is subjected to a torsional moment of 8 kN·m and a bending moment of 3.5 kN·m. Determine: • The maximum in-plane shear stress and associated average normal stress. • The in-plane principal stress and its orientation.

  9. PROBLEM-3 Investigate a point on pipe that is subjected to a state of maximum critical stress. • Torsional and bending moments are uniform throughout the pipe’s length. • At arbitrary section a-a, loadings produce the stress distributions shown. • Point A undergoes maximum compressive stress and point B undegoes maximum tensile stress. • Thus, the critical point is at B.

  10. PROBLEM-3 Maximum tensile stress at point B: Maximum shear stress at point B:

  11. PROBLEM-3 • The maximum in-plane shear stress and associated average normal stress.

  12. PROBLEM-3 2. The in-plane principal stress and its orientation. qp = – 33.1o

  13. PROBLEM-4 Stress in Shafts Due to Axial Load, Bending Load and Torsion A shaft has a diameter of 4 cm. The cutting section shows in the figure is subjected to a compressive force of 2500 N, a bending moment of800 Nm and a torque of 1500 Nm. Determine: 1. The stress state of point A. 2. The principal stresses and its orientation

  14. txy sx PROBLEM-4 1. The stress state at point A has been solved in Tutorial-6 Problem-3. The results are as follows Shear stress: txy= tA= 119.37 MPa Normal stress: sx= sA’ + sA” = (– 1.99 – 127.32) MPa = – 129.31 MPa

  15. PROBLEM-4 2. The principal stress at point A and its orientation qp = – 30.78o

More Related