Q.3. A small element in a steel beam having E=200GPA and Poisson's ratio of 0.3 is found in a stress condition with horizontal compression of 30Mpa, vertical tension of 20Mpa and positive shearing stress of 10Mpa. Then Calculate: a) Stress condition on an inclined plane, 30 degree clockwise with horizontal. b) Principal stresses, its orientation and max shear stress. c) Principal strains and their orientation, and max shear strain.

Q.3. A small element in a steel beam having E=200GPA and Poisson's ratio of 0.3 is found in a stress condition with horizontal compression of 30Mpa, vertical tension of 20Mpa and positive shearing stress of 10Mpa. Then Calculate: a) Stress condition on an inclined plane, 30 degree clockwise with horizontal. b) Principal stresses, its orientation and max shear stress. c) Principal strains and their orientation, and max shear strain.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The stresses shown act at a point in a stressed body. The stress magnitudes are Sy = 95 MPa and Sy = 200 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B = 55°. Sy Answer: Sn = MPa Snt = MPa
Question The state of 2D-stress at a point is given by the following matrix of stress: [0x %]-[ 100 30 30 20 = MPa 0. What is the magnitude of maximum shear stress(Radius of Mohr's circle) in MPa?
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 52 MPa, Sy = 63 MPa, and Sxy = 29 MPa.(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)(c) Compute the absolute shear stress at the point.
At a point in a machine component that is subjected to plane stress, the normal and shear stresses are σx= 80 MPa, σy= 35 MPa, and τxy= 84 MPa, acting in the directions shown in the figure. At this point, determine the strain components εx, εy, εz, and γxy. Assume that E = 69 GPa and v = 0.29 for the machine component.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, = 8.0 ksi, S, = 10.5 ksi, and Sxy = 8.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Sy Sxy S.
www The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 60 MPa and Sy = 210 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume 3 = 47° Selle Answer: Sn = Snt = S, 6 ← T 5 S., MPa MPa
need help with assignment thankss....(especially the mohrs circle part for the graph) x=4, y=4, A=13
The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 85 MPa and S, = 220 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B = 51°. S ↑ Answer: Sn = MPa Snt = MPа
Topic.p stress problem.
A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain yy at P. Assume a = 111o mm, b = 620 mm, c = 0.8 mm, and d = 0.9 mm. Answer: Shear strain yy = prad.