H.WO A state of stress is srecified as shown, netermine the normal and shearing Stresses on Othe Princival Planes the Planes of maximum shearing stress the Planes whose novmals.ave at (+36.8°) and (+126.8°) with x-axis? show the results of Parts a, b and C on comPlete sketches of differential elements. Ans/@ omax = 40 Ma, omin=-18MYA, @=+21.8 20MA DTmax = 29MA , Tumin=-29Ma, 0 =+66.8 32MA 4 32 M ©- 36.1 MPa,T= 14.5 MPa ニ-41MA,でニーツ、5MR 20MP

H.WO A state of stress is srecified as shown, netermine the normal and shearing Stresses on Othe Princival Planes the Planes of maximum shearing stress the Planes whose novmals.ave at (+36.8°) and (+126.8°) with x-axis? show the results of Parts a, b and C on comPlete sketches of differential elements. Ans/@ omax = 40 Ma, omin=-18MYA, @=+21.8 20MA DTmax = 29MA , Tumin=-29Ma, 0 =+66.8 32MA 4 32 M ©- 36.1 MPa,T= 14.5 MPa ニ-41MA,でニーツ、5MR 20MP

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

Show step by step solution
The cross-sectional dimensions of a beam are shown. The internal bending moment about the z centroidal axis is M₂ = +3.51 kip-ft. Assume b = 7.125 in., d = 5.25 in. and t = 0.75 in. Determine: (a) the maximum tension bending stress in the beam. (b) the maximum compression bending stress oc in the beam. Answers: (a) OT = i ) oc = i t b y K H ksi ksi.
From the previous problem, determine the shear stress 30 mmabove the neutral axis.
If Øxx = 110 MPa, Oyy = - 86 MPa, ozz = 55 MPa. Txy = 60 MPa, and allþther components are zero. Determine the principal stresses and the direction cosines of the principal axis. Also find the octahedral normal and shear stress components. Q.4:
2
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 1.3 mm and upward by v = 5.2 mm to new position Q'. Determine the shear strain y at corner Q'after deformation. Use c= 665 mm, a = 23°, and B = 67°. P R Answer: Y = i prad
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 = 40 ksi, Sy = 17 ksi, and Sxy = 10 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy Sx Answer: (a) Draw Mohr's Circle for this state of stress. (b) Op1 = ksi Op2 = i ksi Tmax in-plane i ksi
len 9
A 60° strain rosette is glued to a girder. At any instant the measured strain values are: - 220u ; - .360µ; e - 500;µ Apply the concept of Strain Transformation to determine: (i) The coordinate strains , &, and y,; if e=10 (ii) Using transformation equations; (a) The orientation of principal planes and the values of max. and min. principal strains. Also sketch the deformed strain element showing principal planes labelled with max. and min. principal strain values on the respective planes. (b) The orientation of max. in-plane shear strains and the values of max. and min. in plane shear strains. Also sketch the deformed and distorted strain element labeled with strain values on the respective planes.
In figure shown, the allowable normal stress is 3.5 ksi, allowable shear stress is 1.1 ksi, If t 1.9 in. and b= 3.8 in., 3 in. a. determine the largest P, which is vertical, the frame can 3 in. carry 30 b. determine the largest P, which is normal to AC, the frame can carry