For a case of plane stress, o, =40 MN/m2,80 MN/m2. What are the principalo, = 0, ty =stresses (in MN/m²) and their orientation withx andу ахes?(a) o, = 80,O.. =0, = 30°0, = 32°O2 = 40,%3D(b) ở, = 100,O, = -60,(c) ơ, = 102.5, o, = -62.5, 0, = 36°= 62,%3D2.1.(d) o, = 105,020, = 36°%D

Answered: Image /qna-images/answer/446c9f18-d8b4-4471-b7d3-d4ba3028798c.jpg

For a case of plane stress, o, 40 MN/m², oy = 0, Tyy stresses (in MN/m2) and their orientation with x and O. = 80 MN/m2. What are the principal у ахes? ( a ) σ, -80, (b) ơ, = 100, (с) о, %3D -62.5, 0, — 36° (d) o, = 105, O2 = 40, O2 = -60, 102.5, o, = 0, = 30° 0, = 32° O, = 1. 1 %3D 1 (C) o, = 1 O2 = 62, 0, = 36° 1.

For a case of plane stress, o, 40 MN/m², oy = 0, Tyy stresses (in MN/m2) and their orientation with x and O. = 80 MN/m2. What are the principal у ахes? ( a ) σ, -80, (b) ơ, = 100, (с) о, %3D -62.5, 0, — 36° (d) o, = 105, O2 = 40, O2 = -60, 102.5, o, = 0, = 30° 0, = 32° O, = 1. 1 %3D 1 (C) o, = 1 O2 = 62, 0, = 36° 1.

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: Q1: A. Answer in True or False 191 me the plasticity sha A soll auto 4. Decreasing water content…

Q: The extruded plastic shape will be subjected to an internal shear force of V = 395 lb. Dimensions of…

A: The extruded plastic shape which is supported to the an interior force are given in the question.…

Q: Knowing that a = 1.24 in. determine the largest value of P that can be applied without exceeding…

A: AnswerWe are given Eccentricity of load about XX axis ex = 2.5 in (perpendicular to XX…

Q: 3. Determine the principal stresses . 02 and the principal direction a, from the following stress…

Q: Determine the maximum tensile stress in the beam. A.1.63 MPa B.2.80 MPa C.0.70 MPa D.1.20 MPa…

A: To determine : maximum tensile stress in the beam. maximum Compressive stress in the beam. maximum…

Q: 5. A plinth with a shape of a frustum of a cone is made of a melted CHB or Concrete hollow block and…

A: Question is based on plinth made up concrete hollow blocks with shape of frustum of cone . Specific…

Q: What area of reinforcing steel is required

Q: 4.b. Explain most economical trapezoidal channel section for particular side slope.

A: For the most efficient and economical channel section wetted perimeter should be minimum and…

Q: The principal stresses at a point in a bar are 160 N/mm² (tensile) and 80 N/mm² (compr.). The…

Q: The extruded plastic shape will be subjected to an internal shear force of V = 305 lb. Dimensions of…

Q: 4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of…

Q: The extruded plastic shape will be subjected to an internal shear force of V = 305 lb. Dimensions of…

A: Given:- The magnitude of the shear force = V = 305 lb The dimensions of the cross-section are:- b =…

Q: Solve for the normal and shear stress in the of bar BD. Also solve for the section maximum normal…

A: Given: Required: Normal and shear stress in BD And , maximum normal stress in bar BD

Q: Two line loads are applied on the given profile with the stress increase determined to be 42 kPa at…

Q: tiiirm] is (see : A = Q/U = 30 / 2.5 = 12 (m. : P= A/ R, = 12/0.494 = 24.3 [m] = bh and P b + 2h,…

A: Area=12m2 Perimeter=24.3m

Q: Problem 2 For the cross-section shown below, Mz = 150 kN.m and My = 250 kN.m. Determine the maximum…

Q: A reinforced concrete beam has a width of 300mm. The beam has a tension steel area of 1834.04 mm^2.…

A: Given:- Width of beam, b=300 mmArea of tension reinforcement, AS=1834.04 mm2Strength of steel,…

Q: 120 kPå 30kPa A 30KPA 40° 150 kPa

A: plane which has zero shear stress is called principle plane . the normal stress occurring in these…

Q: at a point is given b a and Txy = 100 MP- ss in MPa is

Q: The extruded plastic shape will be subjected to an internal shear force of V = 225 Ib. Dimensions of…

A: First find the centroidal distance, y¯ y¯ = ∑Ay¯∑A =…

Q: the magnitude of the horizontal shear stress at points A and B. the magnitude of the horizontal…

Q: Determine the shear stress at y=0

A: Given: Velocity distribution, u=34y-2y2 Dynamic viscosity = 8.63 poise To find: Shear stress at y=0…

Q: Ata point in a stressed body, the known stresses are o, = and T = 0, Determine a) the normal and…

Q: Part AB of the bar has a circular cross section with 15-mm radius, and part BC has a circular cross…

A: Objective: To determine the normal stress on perpendicular planes to the bar's axis in part AB and…

Q: 4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of…

Q: A channel-section has the dimensions as shown. Consider a cantilevered beam subjected to an end…

Q: The extruded plastic shape will be subjected to an internal shear force of V = 395 lb. Dimensions of…

A: Given data: V = 395 lb b = 1.0 in., d = 2.0 in., C= 1.4 in., and t= 0.10 in. It is asked to…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

For a case of plane stress, o, =
40 MN/m2,
80 MN/m2. What are the principal
o, = 0, ty =
stresses (in MN/m²) and their orientation withx and
у ахes?
(a) o, = 80,
O.. =
0, = 30°
0, = 32°
O2 = 40,
%3D
(b) ở, = 100,
O, = -60,
(c) ơ, = 102.5, o, = -62.5, 0, = 36°
= 62,
%3D
2.
1.
(d) o, = 105,
02
0, = 36°
%D

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

The velocity gradient is 1000 m/s. The viscosity u = 0.9y - y is 1.2 x 10 N-s/m². Find the shear stress.
The extruded plastic shape will be subjected to an internal shear force of V = 245 Ib. Dimensions of the cross section are b = 1.4 in., d = 2.8 in., c = 1.9 in., and t = 0.12 in. Determine: (a) the magnitude of the horizontal shear stress at points A and B. (b) the magnitude of the horizontal shear stress at point C, which is located at a distance of yc = 1 in. below the z centroidal axis. (c) the magnitude of the maximum horizontal shear stress in the extrusion. (typ.) YC V b Answer: (a) TA = i psi TB = i psi (b) TC = i psi (C) Tmax = i psi
Determine maximum principal stress
UNCRACKED ANALYSIS ON BEAMS DETAILED SOLUTION PLS.
Problem The composite bar system in Figure 4.8 consists of a steel bar and a bronze bar that are both securely attached to a rigid block and rigid supports. The system is loaded with a total load P at the rigid block. If the total applied load P=42000 lb, determine the stresses in the two bars. 6′ S TE FIGURE 1.48 Composite bar system for Problem 12. Steel bar } Rigid block -} Bronze bar E₂ = 30 x 10º psi A₂ = 1 in² E-15 x 10 psi Ag-4 in²
X Incorrect The extruded plastic shape will be subjected to an internal shear force of V= 380 Ib. Dimensions of the cross section are b = 1.2 in., d = 2.4 in., c = 1.6 in., and t = 0.16 in. Determine: (a) the magnitude of the horizontal shear stress at points A and B. (b) the magnitude of the horizontal shear stress at point C, which is located at a distance of yc = 0.8 in. below the z centroidal axis. (c) the magnitude of the maximum horizontal shear stress in the extrusion. t (typ.) A d YC b Answer: (a) TA = 444.32 psi TB = i 601.74 psi (b) Tc = i 835 psi (c) Tmax = i 374.7 psi
981. A state of strain is defined by ex x 10-6. If E = 30 X 106 psi and v = maximum shearing stress. 600 X 10-6, 6y = -300 x 10-6, and Yy= -400 0.30, determine the principal stresses and the %3D %3D 178 ksi. -4 94 ksi: T = 11.4 ksi
The extruded plastic shape will be subjected to an internal shear force of V = 265 Ib. Dimensions of the cross section areb = 1.1 in., d = 2.2 in., c= 1.5 in., and t= 0.19 in. Determine: (a) the magnitude of the horizontal shear stress at points A and B. (b) the magnitude of the horizontal shear stress at point C, which is located at a distance of yc= 0.8 in. below the z centroidal axis. (c) the magnitude of the maximum horizontal shear stress in the extrusion. (typ.) A B d YC Answer: (a) TA = i psi TB = psi (b) Tc = i psi (c) Tmax i psi
The grain of a wooden member forms an angle of 15° with the vertical. Determine the in-plane shearing stress parallel to the grain using Mohr’s circle, assuming that τxy = 251 psi.Answer: 217 psi.
Example: Determine the nominal eccentric compressive strength Pa and the eccentricity e corresponding to the tension controlled strain limit (E, = 0.005). Use f = 3000 psi and fy = %3D !! 50,000 psi. Layer 1 Layer 2 6 #8 bars 15 in 2.4 in 2.4 in 24 in 0,003 21.6 in 2,4 Es1=E=0.005 C.
Find stress
The figure below shows the seil profile amd the plan.of a loaded on the surface of a seil layer- The unitormally distributed vertical Load Ex area the area is 175 KNlwit].Determine the vertical stress incrouse at (A). on D9s=175kulu? 09= 175 kulm? !! 2. A Sail Profie Plan