5.The three bars are pinned together and subjectedto the load P. If each bar has a cross-sectional area A, lengthL, and is made from an elastic perfectly plastic material, forwhich the yield stress is oy, determine the largest load(ultimate load) that can be supported by the bars, i.e., theload P that causes all the bars to yield. Also, what is thehorizontal displacement of point A when the load reachesits ultimate value? The modulus of elasticity is E.CL.

Given: Yield stress c/s Area Length L Elasticity E Free body Diagram:

e bars are pinned together ch bar has a cross-sectional om an elastic perfectly plast stress is oy, determine th nat can be supported by th es all the bars to yield. Al cement of point A when th ? The moduluc of olacticitu

e bars are pinned together ch bar has a cross-sectional om an elastic perfectly plast stress is oy, determine th nat can be supported by th es all the bars to yield. Al cement of point A when th ? The moduluc of olacticitu

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.4.17P: Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building....

See similar textbooks

Related questions

Q: A bench test that may be used to test abone subjected to bending Couple (m) 1Inducedya Foree showa…

Q: (a) If a rod of 368 steel 1.0 m long is cooled from 20 to -80°C while its ends are maintained rigid,…

Q: nodulus of dulüs öf the mate the thermal strain, e

A: GIVEN:L=2md=50mmT1=20CT2=350CE=80GPa

Q: Q17-In problem Q16 determine the percent elongation. (b) If the specimen necked to an area = 92mm2,…

Q: QUESTION 3 A 300mm x 100mm channel section is used as a short vertical column. The column is to…

A: given; →dimension ; (b*d)=300mm*100mm→width(b)=300mm→depth(d)=100mm→compressive load (P)=500KN…

Q: nd Steel, respectively. Given the modulus of elasticity of materials are Ealuminium = 69 G %3D…

Q: Bar (1) has a cross-sectional area of 0.75 in.?. If the stress in bar (1) must be limited to 35 ksi,…

Q: 36. A mild steel bar is 40cm long. The lengths of parts of AB and BC of bar 20cm each. It is loaded…

Q: A bent rod has a diameter of %3D15 mm and is subjected to a force of P= 600 N. What is the normal…

A: Given , d= 15 mm P = 600 N

Q: A 10 mm 10 m Pin B Bracket 6 mm S m

A: GIVEN: The weight of bar = 3000 kg limited shear stress = 60 MPa

Q: 1m long 1025 steel hold firmly Assume there is a from both ends. It is heated from 20' to 60 °C,…

A: Normal stress is defined as the intensity of force acting over a unit area, and it is determined as…

Q: result of a series of experiments, the stress- e graph in, determine the Elastic modulus, E.

A: Answer is 14.6 Gpa

Q: Q/1_prove that true stress Ở True = O Eng (1+ €Eng) 2- prove that true strain ETrue = In(1+ EEng),…

A: TO PROVE :- σtrue=σeng(1+εeng)εtrue=ln(1+εeng)

Q: Question 1 a = 2.1m (1) c=2m b=3./m d = 1.8m P = 80 kN WHAT IS THE AXIAL STRESS IN ROD 1 ? ANSWER IN…

Q: rmine the support reaction at D pade of solid cvlindors: ARİS S

Q: HW A nigid slab weighing 6oo Ku is Placed uPon two bronzevads and one Steel Vod Cach of6000 mm? area…

A: Givensalb weight W=600kNarea of the each rod A=6000mm2initial temperature Ti=15oCcoefficient of…

Q: Part A Determine the average normal stress developed in rod AB if the load has a mass of 44 kg. The…

A: Data given - M = 44 kg dAB = 8 mm

Q: The strong room of a school where an exam question papers are kept is made up ofrectangular metal…

A: Let b =Width =10mm σc =Compressive stress =-20MPa i) Calculate breadth Let d= breadth…

Q: in A Composite bar Çansists af QI) an aluminum Section rigidly fastened between as shown in fiqure…

Q: ne the total strain energy of t pported by a pin at A and a r s a flexural rigidity El = 9x10 r…

A: given:P=12kNEI=9×107N.m2

Q: AN 8mm DIAMETER STEEL ROD, 20m LONG SUPPORTS A JOKN WEIGHT. FIND THE MAXIMUM. TENSILE STRESS H THE…

A: Unit weight of steel, γ=77 kN/m3 So total weight will be due to 10kN and self-weight combined. So,…

Q: The vertebra of the spinal column can support a maximum compressive stress of smax, before…

A: Given, Maximum compressive stress, σmax Eccentric distance, e Inner radius, ri Outer radius, ro

Q: in A Composite bar Çansists af Q1) an aluminum Section rigidly fastened between as shown in fiqure…

Q: omposite bar, made from aluminum and steel with data as : 600 mm ge in temperature 38° → 21° Steel…

Q: Question 4 4 of 10 The two aluminum rods support the vertical force of P = 16 kN (Figure 1)…

A: Given:- (A)

Q: 1. Find a.b and c for the following hollow axis. (Must use Tresca CritelTon.) Mt inner diameter : ri…

Q: As the area under the stress-strain curve decreases, the toughness_ (A) Decreases (B) Increases…

A: As the area under the stress-strain curve decreases the toughness Answer: Decreases

Q: Ieng In an aircraft structure, a rod is designed to be 1.25 m long and have a square cross section…

A: Given data for aircraft structure,

Q: BC has the cross-sectional area of 20 mm? and is made of aluminum alloy with Young's modulus E=80…

Q: 04 A plastic rad with ength and radius af 300 mm and 30 mm, reapectively. If an axial foree of 400…

Q: A rec tangular piece of wood, 50 mm by 100 mm section is urad in cross Compression block shown. De…

A: Answer: The axial force P that can be applied safely is 52.015 kN.

Q: A bar having a length of 30 in. is used to support an axial compressive loadof 12 kip, Fig. It is…

A: Given data The compressive load is P=12 kip=12×103 lb From the table of 2014-T6 aluminium alloy, The…

Q: The cable of hoist has a cross sectional of 80mm2.The hoist is used to lift a crate weighining 500…

A: Given Area, A = 80mm2 Load, P = 500 kg Length, L = 30 m Find 1. stress on the cable 2.…

Q: b. The strong room where AIT exam question papers are kept is made up of rectangular metal bars. One…

A: Given That F=3kNσ=20MPaL=2m∆l=0.25mm

Q: A 1 Mg container hangs from a 16 mm diameter steel cable. What is the stress in the cable? (Express…

A: It is the case of stress developed due to axial loading. Tensile stress=axial force/cross section…

Q: Fic 7.11 pal engineering strain behavrto ure poF The e strength 75 cated at potnt M he crdar ets wt…

Q: Ablock of steel (E-200 GN and v03)is subject to the direct and shear stresses stown below Assuning…

Q: Member AE is rigid for bending A AD 4in? メ- 6.45x10/oF All menbers ore steel E-29,000 Ks) menbers ES…

Q: A 0.75 m 1.5 m 2 т А - 300 тт? A = 250 mm? A= 5 mm C D E = 200 GPa

Q: re is atmospheric. Given that the shrinkage is 0.02 cm. Determine the adial and tangential stress…

Q: Determine the modulus of elasticity. vec ? E = ksi Submit Request Answer • Part C Determine the…

A: Solution: Given Data: To Find: (a) The modulus of elasticity, E? (b) The modulus of resilience,…

Q: I. PRODUEM SOLVING # 23.) Q helical apring iw fabricated ry wrapping wie 0. 75-inch in diameter…

A: Helical springs are made out of a wire that is coiled in the shape of a helix and are designed to…

Q: on OBFIONE 2ECLIOne 10.45 The timber beam shown is supported by bearing o plates at A and B, and the…

Q: he cross-section at C is annular, having an outer diameter o nd the normal stress in the bone at…

A: Given:Load appliedP=1200 NNormal stressσ=3.8 MPaouter diameterd=25 mm

Q: 5KN 2 m A thin Cylinder has alength of thickness of 8 mm. Contain agas end of acylinder (deft) is…

Q: The f turee bars ecuh made of dffereut figure shows a system of materials, aud counected togeter aud…

Q: A rigid weightless be am loo ded hy Momend M iS SUPported at the point D by + he pixed goint support…

A: Given data, Young's modulus of the vertical rod, E = 2.1 x105 MPa Yield stress of the rod, σy = 250…

Q: A Rectangular steel bar is subjected to an induced stress 9.8 KN/m2 (TENSE LE). Determine the load…

A: Given: Tensile stress P =9.8 N/m2 Width (W) of rectangular bar = 2 in Height (H) of rectangular bar…

Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

5.
The three bars are pinned together and subjected
to the load P. If each bar has a cross-sectional area A, length
L, and is made from an elastic perfectly plastic material, for
which the yield stress is oy, determine the largest load
(ultimate load) that can be supported by the bars, i.e., the
load P that causes all the bars to yield. Also, what is the
horizontal displacement of point A when the load reaches
its ultimate value? The modulus of elasticity is E.
C
L.

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 3

VIEW

Step by step

Solved in 3 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

2. The bar AC is supported by a pin at A and a cable that runs from B to E around the frictionless pully at D. If the allowable tensile stress oallow = 5.2 ksi for the cable, determine the required minimum diameter (inch) of the cable. The cylinder (connected at C) weighs 890 lb. Neglect weight and thickness of the bar AC. D 4 3 A C 5 ft 5 ft -4 ft 890 lb
2. A replacement disc consists of the tube Cwith larger diameter of 4 cm, the cylindrical core B with the diameter of 2 cm and two relatively rigid discs on both ends. The disc replacement placed between vertebrae is under compressive force of 400N. The corresponding moduli of elasticity are Ec=10MPA and EB=20MPa. Determine the stress in the tube A and the core B. F Rigid parts 1cm C 2om 4cm F (Answer: OB = 509.3KPA, oc = 254.6KPA) 254.6KРа) %3D
The uniform 300-lb bar AB carries a 500-lb vertical force at A. The bar is supported by a pin at B and the 0:5-in. diameter cable CD. Find the stress in the cable. 4 ft A 3 ft 3 ft B. 500 Ib
A rectangular steel block is 76 mm long in the x direction, 50 mm long in the y direction, and 100 mmlong in the z direction. The block is subjected to a triaxial loading consisting of three axial forces asfollows: 214 kN tension in the x direction, 268 kN compression in the y direction, and 241 kN tensionin the z direction. If v = 0.30 and E = 200 GPa, determine the axial load in the x direction that wouldproduce the same deformation in the y direction as the original loading.
Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E = 120 Gpa and a Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: O F= 2856 N OF = 2285 N OF = 7140N OF = 5712 N OF = 3427 N O F = 8568 N
Clear my choice Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young's modulus E = 120 Gpa and a Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F. Select one: O F= 5712 N O F= 2285 N O F= 8568 N O F= 2856 N O F= 3427 N O F=7140 N Finish attempt..
Q2 / (A) The vertebra of the spinal column can support a maximum compressive stress of omax , before undergoing a compression fracture. Determine the smallest force P that can be applied to a vertebra, if we assume this load is applied at an eccentric distance e from the centerline of the bone, and the bone remains elastic. Model the vertebra as a hollow cylinder with an inner radius r¡ and outer radius r, As shown in figure Q2. P
Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F. Select one: O F=15708 N O F= 5236 N O F= 6283 N O F=4189 N O F= 10472 N O F= 13090N Clear my choice Finish attempt. IOUS ACTIVITY 360 Test - Spring 2020-2021 Jump to. 11:21 PM 4) G ENG 4/15/2021 LEGO ort sc delete end home backspace num lock 7V home enter 4E K pause M
Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building. The sign is also supported by a pin support at O and a lateral restraint in the '-direction at D. (a) Find the tension in each cable. Neglect the mass of the cables. (b) Find the average stress in each cable if the area of each cable is Ae= 0.471 in2.
The vertical shaft with a diameter of d = 20 mm is supported by a thrust collar that rests on a 21-mm-thick plate. The thrust collar is 16-mm thick. Assume that the load P causes a compressive stress of 190 MPa in the shaft. If the bearing stress between the thrust collar and the plate is limited to 35 MPa, determine the minimum outer diameter Dcollar that must be used for the thrust collar. Thrust collar area Plate Thrust collar d Dcollar
Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F. Select one: O F = 5236 N O F = 6283 N %3D O F= 13090N O F = 10472 N O F= 15708N OF=4189 N 9:22 PM EN ? 4/15/2021
4. The rigid lever arm is supported by two A-36 steel wires having the same diameter of 4 mm. If a force of P = 3 kN is applied to the handle, determine the force developed in both wires and their corresponding elongations. Consider A-36 steel as an elastic-perfectly plastic material. 450 mm 150 mm 150 mm 30 A 300 mm B. D