a. What are the forces in segments AB, BC, CD and DE? [solve for a value in N]b. Solve for the normal stress and maximum shear stress in segments AB and BC? [solve for a value in N]c. What are the vertical displacements at point B, D and E? [mm] A vertical bar consist of three prismatic segments A1, A2 and A3 with cross sectional areas100mm^2, 80 mm^2 and 60 mm 2 respectively. The bar is made of Aluminum with E-25GPa.Calculate the displacements at point B, D and E. Ignore the weight of the bar.APB = 50 NNRBCNQсPc = 250 NDEPE=350 N500 mmtātā†250 mm250 mm500 mm

Answered: Image /qna-images/answer/27a978fe-43af-461b-8e1a-5314e95f9170.jpg

What are the forces in segments AB, BC, CD and DE? [solve for a value in N] b. Solve for the normal stress and maximum shear stress in segments AB and BC? [solve for a value in N] c. What are the vertical displacements at point B, D and E? [mm]

What are the forces in segments AB, BC, CD and DE? [solve for a value in N] b. Solve for the normal stress and maximum shear stress in segments AB and BC? [solve for a value in N] c. What are the vertical displacements at point B, D and E? [mm]

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.19P: Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements...

See similar textbooks

Related questions

Q: (Suppose you need to design a tension test machine capable of testing specimens that have nominal…

A: Given data:Ultimate stress, σu = 100 ksidiameter of the specimen, d = 0.5 in (from the given…

Q: Four stress elements are shown below. All members have the same value for E (Young’s Modulus) and ν…

A: Youngs modulus (E) is same.poissions ratio (v) And different axial loads and different poissions…

Q: Calculate the thermal efficiency or coefficient of performance of following cycles, and determine if…

A: (a) For steam power cycle:Heat input = Net work output = Temperature of hot reservoir = Temperature…

Q: Steam enters an adiabatic turbine at 8 MPa and 500°C at a rate of 2.7 kg/s and leaves at 20 kPa. If…

Q: Determine the buckling strength of a W 12 x 50 column with a length of 25 ft. For the major axis…

A: Given Data:Column type: W12x50 (wide flange section)Column length (L) = 25 ftMajor axis (x) - Pinned…

Q: Required: Solve for the axial displacements using the Elemental Stiffness method discussed in class…

A: Given:To find:(a) Maximum stress and its location.(b) Does the material yield?

Q: A Д 2q a | P=2qa C q а В

A: Note:- As per the honor code and answering guidelines I can answer 1st question (As both questions…

Q: gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another…

A: The force applied on gear A, Pressure angle of applied force in gear A, Maximum slope of the shaft,…

Q: A line AB, 50 mm long, is inclined at 30° to the H.P. and its top view makes an angle of 60° with…

A: A line AB, 50 mm long, is inclined at 30° to the H.P. and its top view makes an angle of 60° with…

Q: The hydrostatic pressure in a 24" diameter ductile iron water main is 75 p.s.i. If the thickness of…

A: The hydrostatic pressure is .The diameter of pipe is .The thickness of pipe is .

Q: what is the volume of a unit cell of an orthorhombic crystal system

A: Given:Orthorhombic crystal systemRequired:Volume of a unit cell of orthorhombic crystal system

Q: A rain gutter is to be made of aluminum sheets that are 16 inches wide by turning up the edges 90°.…

A: From the given diagram of the main gutter,base = 16-2xheight = xThe Area is given as,Area =…

Q: A finite wing of area 1.5 ft² and aspect ratio of 6 is tested in a subsonic wind tunnel at a…

Q: A) A circular rod with a gage length of 3.6 mm and a diameter of 2.3 cm is subjected to an axial…

A: Given:Rod diameter (d) = 2.3 cm = 0.023 mGage length (L) = 3.6 mm = 0.0036 mAxial load (P) = 51 kN =…

Q: A 750-g collar can slide along the horizontal rod shown. It is attached to an elastic cord with an…

A: Given Data:The mass of the collar is m = 750 g.The spring constant of the cord is k = 270 N/m.The…

Q: 3-33. If the spring on rope OB has been stretched 2 in. and fixed in place as shown, determine the…

A: From the given diagram,Stretched length of spring, x = 2 inSpring Constant, k = 20 lb/inCo-ordinates…

Q: A couple acts on a beam as shown below. (Figure 3)lf x = 1.50 m, h 0.45 m, and F = 930 N, what is…

Q: What is the relationship between in the input force and the velocity of mass three v3(s)/F(s)?

A: For M1: For M2: For M3:

Q: An Ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air…

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: The mass of storm window is

Q: Create a fourbar linkage design (with moveable pivots at C and D) to move link CD from location C1D1…

A: It is asked to draw the linkages to provide the required mechanism

Q: The container shown in the figure below holds 60°F water and 60°F air as shown. Patm = 14.7 lb/in.²…

A: Given:To find:Absolute pressures at locations A, B and C.

Q: na /s/ .50 LIE 90 BRACKET .50 .SU 90 1.60 - In 90, 1.30 1.70

A: To findThe top, front and right view

Q: A Steam turbine operates under steady flow conditions with 20 kg/s of steam entering at 1.7 MPa and…

A: The schematic diagram of the steam turbine along with its energy and mass interactions between the…

Q: Before the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the…

A: The tension in cable AB is .The tension in cable BC is .

Q: Water (Yw = 62.4- lb ft³ an average velocity of 5 ft/s. Find the change in pressure over 39 ft of…

A: Given data:To find:Change in pressure i.e.

Q: How will can we get the support reactions at A? Ax and Ay?

A: From existing solution, we have

Q: A seesaw is in balance and has each of its seats 2 m from the center of rotation. When a child gets…

A: Force applied by child F = 150 NLocation of the force from pivot (center of rotation) r = 2 m

Q: V hole

A: Mass of the building, m=15000 kgradius of the hut, r= 2mlength of the hut, l= 10 mspeed of the wind,…

Q: During an expansion process, the pressure of a gas changes from 15 to 100 psia according to the…

Q: A team of jubliant engineering students, celebrating winning a design competition, fires their…

A: The forces acting on the potato when it is moving upwards are:Gravitational force:Fg = mgDrag force…

Q: The gate in the figure below is 5 ft wide, is hinged at point B, and rests against a smooth wall at…

A: Given:To find:(1) Compute the force on the gate due to water pressure.(2) Compute the horizontal…

Q: The rod of mass m and length L is released from rest without rotating. When it falls a distance L…

A: The motion diagram of the rod is given as,

Q: No= V。= i ft/s What is the Reynolds number for the new 7.0 in diameter pipe? Re- i What is the…

A: To calculate the friction factor for 7.8 in pipe pressure drop for 7.8 in diameter pipemean velocity…

Q: Strain of Silly Putty: Initial length (L0): 2.85 cm Final length (L): 8.50 cm Strain: % (show…

A: Initial length (): 2.85 cmFinal length (L): 8.50 cm

Q: What is the angle between the [200] and [200] directions in a lead with an FCC crystal structure?

A: Formula used:The expression for the angle between and is,Process to find the angle .Find the…

Q: A homogeneous, 4-ft-wide, 12-ft-long rectangular gate weighing 800 lb is held in place by a…

A: Given-Data:To-Determine:Tension in the cable.

Q: 3. A steel plate of area 100 cm² steel is undergoing a corrosion process resulting in a weight…

A: To calculate equivalent current densitygiven, area of the steel plate, weight change

Q: Steam Turbine T₁ = 600°C Pi= 20 bar n=10,000 kw T₂=400°C P10 bar V7 1200 K Py = 10 bar www www Heat…

A: To compute mass flow rate of the turbinecompute temperature of the steam exits the heat…

Q: 2 10kN.m B 3 kN ܡ 60% -1.5 m C 1 kN/m 2 m D a) express the internal shear force and bending moment…

A: Express the internal shear force and bending moment as a function of x (starting from A).

Q: seems option 3rd is correct , Please show work within 30min.

Q: Is there any built in functions in MATLAB that transform a given Direction Cosine Matrix (DCM) to…

A: x = [-0.3536, 0.9268, -0.1268; -0.6124, -0.1268, 0.7803; 0.7071, 0.3536, 0.6124];To find…

Q: Car mass = 1,50 kg Spring body =1,30,000 W/m Spring wheel= 1,000,000 A/m Solve and get its transfer…

A: To determine the transfer function of a car's suspension system with given parameters, we can create…

Q: What about the solutions makes it reasonable?

A: The force exerted on the cylinder by the contacting surfaces.And the reactions at point A and C.

Q: A Ferris Wheel, with radius 50 ft., turns counterclockwise one revolution every 18 seconds. Bryce…

A: Given:To find:Determine whether the Susan have a chance to catch the ball?

Q: An aircraft component, made of 7075-T6 aluminum alloy, can be represented as a bar of diameter 20 mm…

Q: A closed-piston cylinder contains 4-kg of Ammonia at 800 kPa and 500 K. How much boundary work in kJ…

A: Given:To find:Amount of boundary work produced in kJ.

Q: A) Knowing that angular velocity of link AB is WAB = 4 rad/s, determine the velocity of the collar…

A: Given:Angular velocity of link AB = 4 rad/sLength of link AB, LAB = 500 mm = 0.5 mLength of link BC,…

Q: Can you send me the top,front and right view of the given diagram with correct dimensions

A: Draw the top,front and right view of the given diagram with correct dimensions.

Q: Two 13-kg uniform bars are connected to form the linkage shown. Neglecting the effect of friction,…

A: L = 0.6 mm = 13 kgFInd the reaction at D

Question

a. What are the forces in segments AB, BC, CD and DE? [solve for a value in N]

b. Solve for the normal stress and maximum shear stress in segments AB and BC? [solve for a value in N]

c. What are the vertical displacements at point B, D and E? [mm]

A vertical bar consist of three prismatic segments A1, A2 and A3 with cross sectional areas
100mm^2, 80 mm^2 and 60 mm 2 respectively. The bar is made of Aluminum with E-25GPa.
Calculate the displacements at point B, D and E. Ignore the weight of the bar.
A
PB = 50 N
NR
B
CNQ
с
Pc = 250 N
D
E
PE=350 N
500 mm
tātā†
250 mm
250 mm
500 mm

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: Given and required

VIEW

Step 2: Determination of forces

VIEW

Step 3: Determination of normal and shear stress

VIEW

Step 4: Determination of vertical displacement

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 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

Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
.17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.
Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29
Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
-7 Repeat Problem 2.3-5, but n include the weight of the bar. See Table I-I in Appendix I for the weight density of steel.
80 mm 20 mm 7 mm M M Click to see additional instructions Calculate the minimum Safety Factor if the radius r = 5mm and M= 17.5 Nm. The material is mild steel with Sy = 220 MPa. Fill in the answers below and make sure of the unit. 4. The second moment of area: I= mm4. 5. Maximum normal stress in beam: o = MPa. 6. The safety factor: SF =
Determine the nodal displacement of the bar shown in Figure 1 using two element of equal length. The radius varies as r(x) = 0.050 - 0.040x:, where r and x are in meters. Assume E = 200MPA. Both ends of the bar are fixed, and F = 10,000 N is applied at the center. F 10,000N- -L= I m
P = 80 kN σt = 150 MPa t = 8.0782 mm Can you help me solve for d2?
A vertical bar consists of three prismatic segments A|, A" and A3 with cross-sectional areas of 6000 mm", 5000 mm' and 4000 mm' respectively. The bar is made of steel with E = 200 GPa. Calculate the displacements at points B. D,and E. Ignore the weight of the bar.
QI\ Determine the elongation of the system shown in figure below 100 kN 50 kN 50 kN steel Copper E=117GPA Bronze E=210GPA E=82GPA A=1500mm A=1000mm A=500mm