Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If oy = 22 ksi, determine the angle 0, corresponding to the orientation of the maximum in-plane shear stress. 8 ksi 45 ksi O 30.1° or -56.6° O 20.2° or -79.2° O 22.6° or -53.0° O 27.6° or -62.4° O 16.7° or -85.4°

Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If oy = 22 ksi, determine the angle 0, corresponding to the orientation of the maximum in-plane shear stress. 8 ksi 45 ksi O 30.1° or -56.6° O 20.2° or -79.2° O 22.6° or -53.0° O 27.6° or -62.4° O 16.7° or -85.4°

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The state of stress at a point in a member is shown on the rectangular stress element in (Eigure 6)…

A: So angle is clockwise and θ=-30°σx=31ksiσy=-38ksiτxy=0

Q: Three bars are joined end to end as shown. Determine the maximum shear stress in BC and the maximum…

A: FBD FOR AB: CUT AB SUCH THAT FREE END OF A IS THEIR: FROM EQUILIBRIUM ∑FY=0-F1+15=F1=15…

Q: Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 3050 mm² and an…

Q: Problem 4 The horizontal force of p 85 kN acts at the end of the plate. The plate has a thickness of…

Q: The stresses shown act at a point on the free surface of a machine component. Normal and shear…

A: Using transformation equation

Q: (a) Determine the principal stresses (σp1>σp2) and the maximum in-plane shear stress τmax acting at…

Q: Assume β = 50°. (a) Draw Mohr’s circle for this state of stress. (b) Determine the principal…

Q: Problem 4 The horizontal force of p 85 kN acts at the end of the plate. The plate has a thickness of…

A: Given that: P=85 kN and d=50 mm

Q: a B. u R Answer: prad Y = i

Q: 6. The cylindrical bar is subjected to an axial load P = 600 kN and a torque T = 10 kN-m. Point p is…

Q: The split ring shown has an inner radius ₁ = 0.6 in. and a circular cross section of diameter d =…

Q: The steel rod has a radius of 1.25 in. If it is subjected to a shear of = 5 kip, determine the…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

A: Calculate principal stresses at point

Q: The couple M = 77 kip-in. is applied to a beam of the cross section shown in a plane forming an…

A: Stress at point A is given by ; σA = - Mz × yAIZ + My × zAIY Mz = M Sin 15 = 77 Sin 15 = 19.92 kip…

Q: T b = 3 ft., L=5 ft., T=500 ft-lb CCW, P = 500 lb Dia. = 10 in., Area = 78.54 in^2, Ix=ly=491 in^4,…

A: Step 1

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

Q: 4. The normal stress on plane pq of a prismatic bar in tension (see figure) is found to be 7500 psi.…

Q: mine the maximum shear stress for the 7.. 3₁ == 0 MPa Txy=-31 Ox=37

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

A: Given data:σx= - 4 ksiσy= 18 ksiτ= 15 ksi

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

Q: An axial load P is applied to the rectangular bar shown. The cross-sectional area of the bar is 317…

Q: The stresses shown act at a point on the free surface of a machine component. Normal and shear…

Concept explainers

Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

100%

Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical
planes at the point are shown. If oy = 22 ksi, determine the angle 0, corresponding to the orientation of the maximum in-plane shear
stress.
8 ksi
45 ksi
O 30.1° or -56.6°
O 20.2° or -79.2°
O 22.6° or -53.0°
O 27.6° or -62.4°
O 16.7° or -85.4°

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the principal stress, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the max stress element in each case. Solve the question using Mohr Circle. OX = 41 gy = 41 x 2 EXy = 41 /2 %3D
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.4 mm and upward by v = 5.8 mm to new position Q′. Determine the shear strain γ at corner Q′ after deformation. Use c = 730 mm, α = 25°, and β = 65°.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If o = 122 MPa in the direction shown, identify the stress element that best depicts the principal stress state at the point. 45 MPa 35 MPa 50°
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 = 17 ksi, Sy = 24 ksi, and Sxy= 16 ksi. (a) Determine the principal stresses (1 > 2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Answers: Opl = Op2 = Tmax = Sxy 0 ksi. ksi. ksi.
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 = 19 ksi, Sy = 25 ksi, and Sxy = 19 ksi. (a) Determine the principal stresses (σp1>σp2) and the maximum in-plane shear stress τmax acting at the point. (b) Find the smallest rotation angle θp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
2.18. The stress at a point is defined by the components Oxr = 85 MPa, Oyy= 320 MPa, oz= 100 MPa, Ory =-40 MPa, ơ =50 MPa, ơzx=-20 MPa. Find the three principal stresses, sketch the three Mohr's circles and hence determine the magnitude of the maximum shear stress. yz