Q.2. A bar of different cross sections is subjected to a tensile force of 50 kN. Find the stresses in different sections and the total elongation produced in the bar. Take E= 200 kN/mm². - 80 mm- 60 mm - 40 mm-→| d, = 40 mm |d, = 20 mm B 50 kN÷ Idz = 10 mm- - 50 kN

Q.2. A bar of different cross sections is subjected to a tensile force of 50 kN. Find the stresses in different sections and the total elongation produced in the bar. Take E= 200 kN/mm². - 80 mm- 60 mm - 40 mm-→| d, = 40 mm |d, = 20 mm B 50 kN÷ Idz = 10 mm- - 50 kN

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 2.3.21P: A slightly tapered bar AB of solid circular crass section and length L is supported at end B and...

See similar textbooks

Related questions

Q: F 30° ød. 2 M. 10

Q: Q/2 A cylindrical metal pressure vessel 400 mm, 15 mm in diameter and thickness respectively. There…

Q: M h B For the given system; a) Draw bending moment and shear force diagrams. b) Determine the most…

A: Consider horizontal forward & vertically upward force as (+)ve and vertically downward force as…

Q: A roadway sign weighs 5.4 kN and is supported by a structural pipe that has an outside diameter of…

Q: Find the stresses at point C. -1.5 m 2.5 m 250 mm 125 mm 1.5 m 50 kN/m 50 mm 2 m 4m

A: Find the stresses at point C.

Q: 2- The state of stresses at a point are defined as follows. Find the normal and shear stress vector…

A: Given: The point of plane, P(2,1.5,2)

Q: At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress…

A: Given:σx=-30 MPaσy=15 MPaζxy=25 MPaθ=-25°

Q: Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker…

Q: The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 3700 psi, Sy =…

A: Find angle with vertical to find the normal and shear stress at the given plane, θ= 90 - β= 90-49=…

Q: If the principal stresses in a plane stress problem are ơ1 = 100 MPa, ơ2 = 40 MPa, the magnitude of…

A: Write the given values along with suitable variables.

Q: BP2) A 6" diameter pulley attached to a 1" diameter shaft of 2" length is supporting a load of 2000…

A: Given, We know that principle stresses are given by, Which gives,

Q: Q2 Figure Q2 shows few loadings applied on bar ABD. Suppose the diameter of the bar is A mm, and…

Q: 1. A thin rectangular plate a = 20 mm x b = 12 mm (see figure below) is acted upon by a stress…

A: Given: To find: (a) The change in length of diagonal ACb) The shear strain, Yxv, along the length of…

Q: A solid bar has a diameter of 40 mm and subjected to the loadings shown in Figure 2. The supports at…

Q: Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with…

Q: Determine the principle stresses σ1, σ2, σ3 and their orientation φ, if σx, σy and σz are known as…

Q: 3. Bars AB, CD, and EF each have a cross-sectional area of 25 mm and modulus of elasticity E= 200…

Q: If the principal stresses in a plane stress problem, are o1 = 100 MPa, o2 = 40 MPa, the magnitude of…

Q: The stresses shown in the figure act at a point on the free surface of a machine component. If o =…

A: Need to determine normal stress σn or ( σx ) In the given answer normal stress is shown by σn Data…

Q: Q2) In Fig.(2), the shaft is subjected to reversed loads, F = F 2700 N and P = F 1350 N, where these…

Q: In a volume element with dimensions dx, dy, dz the negative y-face has a 2 MPa stress in the…

Q: Four axial forces are applied to the 25mm thick structural steel bar with 40mm diameter pins as…

A: The given force member is as shown below,

Q: Q4: For the following state of stresses, find 1- principal stresses. 2. Principal direction 3.…

Q: The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress…

A: Given that, Normal stress in x-direction, σx=80 MPa,Normla stress in y-direction, σy=-40 MPa,Shear…

Q: - A member ABCD is subjected to point loads Pi and Pa with magnitudes of 5 kN and 12 kN respectively…

A: There are three members connected in series. Since the both ends are subjected to forces of…

Q: If the shear modulus of a material is 120GPa & the bulk modulus is 140 GPa, then Young’s modulus…

A: Given data: Consider Young's modulus as E.Consider the Poisson's ratio as μ.The shear modulus is…

Q: A rubber bolt is inflated to apressure of 65kPa. At that pressure, tediameter of the ball is 240mm…

Q: A circle of 250 mm diameter is scribed on a steel plate. The plate is subjected to a tensile stress…

Q: uniformly distributed stresses acting on the side faces plate are b = 10 in. t = 0.75 in.., E =…

A: Given data Width (b) = 690mm = 69*10-³m Thickness (t) = 40mm = 40*10-³m E = 41 Gpa = 41*10⁹ V =…

Q: h G bị Q4) For the given system; a) Draw internal force diagrams and determine the most critical…

Q: Find the internal normal stress in all relevant segments of the bar in the picture. The bar has a…

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

Q: The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress…

A: Given: Applied stresses are: Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa Angle is β=51∘.

Q: A rail line is laid so that there is no stress in rails at 15°C. The rails are 50 m long. α = 11.7 ×…

Q: Consider the vessel in which the wall thickness of the cylindrical and hemispherical portions has a…

Q: An axial pull is acting on a bar consisting of two different materials is shown in figure.If the…

Q: [4] In thin walled sphere, the wall is subjected to A. Hoop stress only B. Longitudinal stress only.…

A: 4. In thin walled sphere, the wall is subjected to A. Hoop stress only B. Longitudinal stress…

Q: Determine the principle stresses and the maximum in-plane shear stress.

Q: 3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an…

Q: 1.16 The 1000-kg uniform bar AB is suspended from two cables AC and BD, each with cross-sectional…

A: Determine the tension in the rod BD.

Q: Determine the absolute maximum shear stress of the stress state acting on the element shown in the…

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

Q: 3. A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal…

A: Let us consider, Diameter of cylindrical shell = d Thickness of cylindrical shell = t Pressure…

Q: P, P. P,

A: given:

Q: Q2) For the problem shown in the figure, - Find the axial displacement at the end B - Determine the…

A: Given data, E = Modulus of elasticity = 50 MPa d1 = Inner diameter at the smaller end = 40 mm d2 =…

Q: F2. F3 F1 L2 A pipe is subjected to loads as shown in figure. The outer and inner diameters of the…

A: Given: The inner diameter of pipe, d = 79 mm The outer diameter of pipe, D = 99.2 mm The force along…

Q: 10 cm 600 N 14 cm B -- Vertical load is applied to point Bof a 10 mm radius cylindrical bar as shown…

A: Given data: Radius of the cylindrical bar is: r=10 mm which is fixed at point 'C'. We need to find…

Q: The stresses shown in the figure act at a point in a stressed body. If o = 115 MPa in the direction…

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

Q.2. A bar of different cross sections is subjected to a tensile force of 50 kN. Find the stresses in
different sections and the total elongation produced in the bar. Take E= 200 kN/mm?.
80 mm-
60 mm - 40 mm→
d, = 40 mm
dz = 20 mm
Id, = 10 mm-
C
50 kN+
50 kN
D
B

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
A solid circular bar of steel (G = 78 GPa) transmits a torque T = 360 N - m. The allowable stresses in tension, compression, and shear arc 90 MPa, 70 MPa, and 40 MPa, respectively. Also, the allowable tensile strain is 220 x 10-6, Determine the minimum required diameter d of the bar, If the bar diameter d = 40 mm, what is Tmax?
-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
An element of aluminum is subjected to tri-axial stresses. Calculate the strains in the element in x, y, and z directions lithe stresses axayand az are -2000 psi, 3500 psi, and 2700 psi, respectively. Assume E = 10,000 ksi and v = 0.33. Also, find the unit volume change of the element.
• - 3 A rectangular plate in biaxial stress (see figure) is subjected to normal stresses u = 67 MPa (tension) and s = -23 MPa (compression). The plate has dimensions 400 X 550 X 20 mm and is made of steel with E = 200 GPa and v = 0.30. (a) Determine the maximum in-plane shear strain ?max in the plate. (b) Determine the change ?t in the thickness of the plate. (c) Determine the change ?t in the volume of the plate.
The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?
The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.
A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
During a tension lest of a mild-steel specimen (see figure), the extensometer shows an elongation of 0.00120 in. with a gage length of 2 in. Assume that the steel is stressed below the proportional limit and that the modulus of elasticity E = 30 × 10 psi. (a) What is the maximum normal stress (j^, in the specimen? (b) What is the maximum shear stress tmax? (c) Draw a stress element oriented at an angle of 45° to the axis of the bar, and show all stresses acting on the faces of this element.
A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.