Bar AB has a cross-sectional area of 1200 mm² and is made of a steel that is assumed to be elastoplastic with E = 200 GPa and oy σy = 250 MPa. Knowing that the force F increases from 0 to 520 kN and then decreases to zero, determine (a) the permanent deflec- tion of point C, (b) the residual stress in the bar.

Bar AB has a cross-sectional area of 1200 mm² and is made of a steel that is assumed to be elastoplastic with E = 200 GPa and oy σy = 250 MPa. Knowing that the force F increases from 0 to 520 kN and then decreases to zero, determine (a) the permanent deflec- tion of point C, (b) the residual stress in the bar.

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: Aluminum Steel hs composite beam of aluminum (F. = 70 GPa) and steel (F. = 190

Q: A 4.8ft-long steel wire of 1/4in-diameter is subjected to a 750lb-Tensile load. Knowing that…

A: Concept: We will find the elongation of the wire due to applied load using the formula for…

Q: A composite beam is made of two brass [E = 99 GPa] plates bonded to an aluminum [E = 63 GPa] bar, as…

A: Given data A composite beam is made of two brass [E = 99 GPa] plates bonded to an aluminum [E = 63…

Q: Determine the gross area of steel needed to design the bar force members at BC, BE, and AE. Stress…

Q: An aluminum bar having a cross-sectional area of 160 mm? carries the axial loads as shown in the…

Q: A composite beam is made of two brass [E = 96 GPa] plates bonded to an aluminum [E = 62 GPa] bar, as…

A: Answer Since the extreme fibre is Brass we need to convert the given Composite section into a one…

Q: The limit of proportionality in the material of a structural steel member, when subjected to simple…

A: Given data- A structural steel member- Simple tension-σy=280 N/mm2Principal stress-σ1=122 N/mm2…

Q: solve for the angular deformation of one end relative to the other end

Q: The cross-section of a composite beam made of aluminium and steel is shown in the figure. The moduli…

Q: 6. Value of Young's modulus of elasticity of steel if , Bulk modulus is 160 GPa and Poisson's ratio…

Q: A copper strip (Ec= 105 GPa) and an aluminum strip (E₂ = 75 GPa) are bonded together to form the…

A: Given Data:Ecopper=105GpaEaluminum=75GpaMoment M=32 N-m It is required to calculate maximum stress…

Q: A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place,…

A: Deformation of a structural member occurs when it is loaded, and resistance to deformation is…

Q: Which stress element below correctly shows the normal and stress al point X? M P D E F X F H

A: Option (H) is the correct answer.

Q: A mild steel bar, 1.5 m long, has a square section 40 mm x 40 mm. The bar is subjected to a two-…

A: Given- Length L=1.5 m, Square section 40 mm side, Stresses- σx=310 N/mm2,σy=-300 N/mm2,E=2×105…

Q: Find the stresses in A, B and C?

Q: A bar obtained by bonding together pieces of aluminum (Ea = 70 GPa) and brass (E = 105 GPa) has the…

Q: A 5.0m simple beam supports the given floor loads Wu and a concentrated load Pu due to the wall…

A: Given:- 5.0 m simple beamPu=45kNwu=44.24kN/mspan=5.0mTo find:-stress in steel

Q: A composite beam is made of two brass [E = 106 GPa] plates bonded to an aluminum [E = 60 GPa] bar,…

A: Beam of Composite Section have applied Bending moment and Calculation of Bending stress in Aluminum…

Q: Bronze Aluminum Steel A=400 mm? A= 600 mm? A=300 mm? 2P ЗР 4P -3 m -5 m 4 m Three round bars welded…

Q: Asmall aluminum alloy [E = 74 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: -200mm- -300mm- -- Aluminum E=70 GPa A=900 mm? Steel E=200 GPa A=1200 mm?

Q: For the beam geometry shown, determine the following: a. Cracking moment b. Has the beam section…

A: Mapp = Applied moment = 34KN .mfc'=Concrete strength=28MPaAs=Area of steel=1935m*m2n=Modular ratio=9…

Q: f = M * C I Compound stresses O Shear stresses Flexural stresses Torsion stresses

A: Using flexural stress equation

Q: The cross-section of a pretensioned prestressed concrete beam is shown in figure. The reinforcement…

Q: Two plate are joint by five rivets of 20 mm diameter. What is the shear stress in the material if…

Q: A small aluminum alloy [E = 71 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: Find the Stress if Tensile force 2.3 N applied on rod having cross sectional area of 1 mm2

A: Introduction : The question is related with solid mechanics . In this question the data of tensile…

Q: When designing a structural member, which of the following statements is FALSE? Select one: A. The…

A: B. The ultimate stress depends on the Factor of Safety used. This statement is FALSE. Ultimate…

Q: A steel bar has three segments with 600 mm long which is subjected to the different loads as shown…

Q: (b). A composite bar of steel and brass is subjected to a tensile load P with a uniform FEB length…

Q: The moment M acting on the cross section of the tee beam is oriented at an angle of 0-64° as shown.…

A: A tee section is undergoing biaxial bending.The angle made by the moment axis with the vertical…

Q: A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: Find the Stress if Tensile force 2.3 N applied on rod having cross sectional area of 1 mm2

Q: ProbleT --- An aluminum bar has diameter d = 40 mm, shear modulus of elasticity G = 27 GPa, and…

A: Simple stress is expressed as σ=PA, it is force per unit area. Shear stress is developed is applied…

Q: Determine the maximum tensile and compressive stress in the beam. 1600 lb 4000 lb 7 in N.A. 2 in 3…

A: Determine the maximum tensile and compressive stresses developed in the beam

Q: 6:53 PM M ..39 and 300 mm long solid copper bar of 20 mm diameter (See Figure 1). The composite bar…

Q: A steel rod with cross-sectional area of 180 mm2 is stretched between two fixed points. The tensile…

Q: 'd think that the bending stress of B is the result given in D and viceversa. Why is that not the…

A: It's a case of bending moment acting in two direction of section that is bending is moment is acting…

Q: A composite beam is made of two brass [E = 97 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as…

Q: Problem II. An exhaust gas piping fabricated as shown is subjected to a bending moment, an internal…

A: Given:- σxAB=63.5 MPaσsAB=127 MPaτxsAB=127 MPa To find:- a σmin,σmax and its direction from x-axis…

Concept explainers

Pressure and Stress

Question

Bar AB has a cross-sectional area of 1200 mm² and is made of a
steel that is assumed to be elastoplastic with E = 200 GPa and σ y
= 250 MPa. Knowing that the force F increases from 0 to 520 kN
and then decreases to zero, determine (a) the permanent deflec-
tion of point C, (b) the residual stress in the bar.
A
C
a = 120 mm
Fig. P2.122
-F
440 mm
B

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: Introduce the problem statement

VIEW

Step 2: Compute force in bar when full load is applied

VIEW

Step 3: Compute stress in bar when full load is applied

VIEW

Step 4: Compute force in bar during unloading condition

VIEW

Step 5: Compute stress in bar during unloading condition

VIEW

Step 6: Determine permanent deflection at C and residual stress in the bar

VIEW

Solution

VIEW

Step by step

Solved in 7 steps with 11 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

2. (3 points) When loading is applied at a point on a body, the stress distributions at different cross sections are different. However, the stress distribution becomes uniform at locations far from the applied load. This is due to which principle? Name the principle. P Load distorts lines located near load P P C C Lines located away from the load and support remain straight P O avg A section a-a section b-b section c-c -Load distorts lines located near support Your answer
Topic: COMBINED STRESS - STEEL DESIGN Please solve your Solution in a handwritten Note: It should be handwritten pleaseeee
A
(1) 1d. What is the shear stress on an element with principal stresses of 565 psi and -435 psi?
QU A composite beam is fabricated by bonding a steel bar and a brass bar and is subjected to the bending moment M = 200 N-m. Determine the maximum bending stress in the brass and steel. Given: E, =200 GPa, E, = 100 GPa Brass 20 }o | Jakrtal
A rectangular plate is subjected to uniform biaxial stress with x = 90 MPa (tension), oy = -20 MPa (compression), and ₂ = 0. The plate has original dimensions 400 X 800 X 200 mm (x X y X z) and is made of steel with E = 200 GPa and v = 0.3. What are the strains Ex, Ey, and Ez?
3. Determine the stress in each of the two vertical rods if the temperature rises 50 °C after the load P=75 KN is applied. Neglect the deformation and mass of the horizontal bar AB. Use Ea = 75 GPa, as=23.0 um/m-°C, Aa = 850 mm2 Es = 210 GPa, as = 11.9 um/m-°C and As = 650 mm² . %3D %3D Steel Aluminum 3m 2.5m 3 m 3 m 3 m 75 KN
The composite beam is made of steel (A) bonded to brass (B) and has the cross section shown. It is subjected to a moment of M = 6.3 kN?m .Ebr = 100 GPa, Est = 200 GPa A: Determine the maximum bending stress in the brass. B:Determine the maximum bending stress in the steel. C: Determine the stress in the brass at the seam where the brass and steel are bonded together. D:Determine the stress in the steel at the seam where the brass and steel are bonded together. B M 175 mm 150 mm 200 mm
Read the question carefully and give me all right solutions with clear calculations.
I will rate immediately
A stress developed if the applied force is parallel to the resisting area refers to: O tangential O bearing O normal. O simple
Question 4a pls