Answered: A circular steel bar is subjected to…

A circular steel bar is subjected to various forces as shown in Fig. determine: 1) P 2) The total elongation in the bar 3) Stress in each section Where: E = 2x10$ N/mm2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.3.10P: Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa

See similar textbooks

Related questions

Q: 1 Awall bracket, as shown in Fig, is subjected to a force P = 5 kN, The cross-section of bracket is…

Q: A, - 600 mm L = 400 mm 4, = 300 mm? L = 200 mm 4 =12 10 1 az = 23 10 E - 210 GPa E, - 70 GPa a) P=…

Q: The specification of a cylindrical vessel are as follows: D = 350 mm %3D t = 12 mm P = 4.5 MPa %D…

Q: The cross-sectional area of bar ABCD is 600 mm2. Determine the maximum normal stress in the bar.…

Q: In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa for a element…

A: Let us start by calculating the diagonal AB.The length of AB is given as:AB = 0.1m2+0.1m2 =0.414 m

Q: A steel tank has an inside diameter of 3 m and 6 m high contains gasoline with a relative density of…

Q: P=70 MPa . Determine maximum principal stress

Q: Q2. A mild steel shaft transmits 'P' kW at 'N' r.p.m. It carries a central load of 900 N and is…

A: Shaft is a rotating element that transmit power and rotation.

Q: The state of stress at a point in a member is shown on the element. Suppose that σx = -50 MPa , σy =…

A: σX=-50MPaσy=-120MPaζxy=-30MPa All stresses are compressive Formula for shear stresses:-…

Q: An electric power transmission pole is 12 m above ground level and embedded 2 m into the ground. The…

A: Option d is correct.

Q: View Policies Current Attempt in Progress Two solid cylindrical rods (1) and (2) are joined together…

Q: Determine the hoop stress on the outer surface of the cylinder.

Q: determine the required diameter if the stress is not to exceed 140 MPa and the total elongation is…

A: Need to determine the required diameter

Q: A rectangular beam is 12 meters long. It is supported by R1 at the left end and R2, 4 meters from…

A: Solution is given below:

Q: Find the stress in each cord for the system shown in fig. below, if the cross section ?area of each…

Q: steel rod: 0 24 mm 0.4 m 3 m Figure 1.23 A rectangular column of sides 0.4m x 0.35m, made of…

Q: Determine the largest weight W that can be supported by two wires shown in the figure below. The…

Q: A rectangular concrete slab, 3 m x 4.5 m, rests on the surface of a soil mass. The load on the slab…

Q: A thin-walled pressurized vessel consists of a right circular cylinder with flat ends. Midway…

A: If the inner radius to wll thickness ratio (r/t ) is greater than or equal to 10,such vessels area…

Q: Af D Find the stress in each cord of the system shown in fig. below if the cross section area of…

A: To find : The stress in each cord . Given data : The cross sectional area of cord A=450 mm2. The…

Q: 48.0 in. and the wall thickness is 0.75 in. The tank is pressurized to 1.40 ksi. Determine the a

Q: A cantilever beam, 100 mm wide by 270 mm high and 9 m long, carries a load that varies uniformly…

A: Given:b=100 mmd=270 mmL=9 mW=1300 N/m

Q: Strength of Materials 2021- 2021 sist. Prof. Dr. Mohanned Q. Waheed H.W : An axial force of 20 kN is…

Q: -bar rigidly fixed at its both ends uniformly tapers from 90 er. What will be the maximum stress…

A: This explanation is given below

Q: 800 N D 120 N.m d = 8 cm 600 N Q / If the cross section of the femur can be approximated as a…

A: 1. Stress due to eccentric load of 800N P2 and 800N will create a momentMoment due to this…

Q: 3.5 m r= 0.6e-0.08y² y 0.6 m

Q: A 1.40 m long steel circular bar is acted upon by forces as shown in fig below. determine the total…

A: To find: The total elongation of the bar. Given: The length of steel bar is Ls=40 cm. The length of…

Q: |F 2F a 3F| b a

Q: Knowing that a 0.02in gap exists when the temperature is 75'F, determine (a) the temperature at…

Q: 1. A 1.5-m long circular cross-sectioned bar with r = 1 cm is under a combination of bending moment…

A: DISCLAIMER FOR MULTIPART FROM BARTLEBYSince you have posted a question with multiple sub-parts, we…

Q: A rod is composed of three segments as shown and carries the axial loads P1=120 kN and P2=50 kN as…

Q: A cantilever beam, 80 mm wide by 270O mm high and 8 m long, carries a load that varies uniformly…

A: Draw a diagram for the cantilever beam. Here, w1 is the load intensity at point B i.e. at 5 m from…

Q: Q2 Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel,…

Q: 1. A 16-cm square steel bearing plate lies between a 12-cm diameter wooden post and a concrete…

Q: A metal block of cross-section area A and length L is subject to a tensile stress of S. The block…

Q: A flexible connection consisting of rubber plates (thickness t = 9 mm) attached to the steel plates…

Q: The c-clamp shown here has a solid, 2-cm- 10 cm diameter, circular cross-section. When it is…

A: The cross sectional diameter of the clamp is given as d=2 cm=20 mm. Using the diameter, find the…

Q: A thick cylinder of 0.5 m external diameter and 0.4 m internal diameter is subjected simultaneously…

A: Given: external diameter = 0.5 m internal diameter = 0.4 m internal pressure = 25 MN/m2 hoop stress…

Q: 1.4 (A). Two fork-end pieces are to be joined together by a single steel pin of 25mm diameter and…

A: Given, d=25 mmP=50 kN=50×103 Nτmax=180 MN/m2=180×106 N/m2

Q: A cantilever beam, 80 mm wide by 260 mm high and 9 m long, carries a load that varies uniformly from…

A: Width of the cantilever beam, B= 80 mm Height of the cantilever beam, H= 260 mm Length, L= 9 m At…

Q: subjected to uniform uniaxial tension of 95 MPa. A large uniform plate containing a rivet hole is…

Q: Question 5: The following 0.8" diameter steel bar has three loads applied, as shown. Assuming that…

A: Find the stress at point A,B and C and total elongation of the bar.

Q: * Your answer is incorrect. The solid circular rod has a cross-sectional area of 410 mm². It is…

A: GivenA=410mm2w=9kN/mP=3kNQ=5kNx=0.5m

Q: A cantilever beam, 90 mm wide by 240 mm high and 7 m long, carries a load that varies uniformly from…

A: Answer: The magnitude of the stress at the given point of consideration is 1.72233 MPa.

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

Q: 1. Draw a diagram of the longitudinal force 2. Draw a diagram of normal stresses 3. Determine…

Q: A cantilever beam, 80 mm wide by 290 mm high and 9 m long, carries a load that varies uniformly from…

Q: The specification of a cylindrical vessel are as follows: D = 350 mm %3D t = 12 mm P = 4.5 MPa…

Q: P, P. P,

A: given:

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A circular steel bar is subjected to various forces as shown in Fig.
determine:
1) P
2) The total elongation in the bar
3) Stress in each section
Where: E = 2x10$ N/mm?
30 KN
40 KN
70 KN
L=600mm
L=800mm
L=600mm
D=30mm
D=60mm
D=40mm

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 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

P2) A brass bar, having cross-sectional area of 900 mm2, is subjected to axial force as shown below. AB = 0.6 m, BC = 0.8 m, CD = 1.0 m. Find the total elongation of bar. Take E = 1 * 105 N/mm2 B 40 kN 80 kN 20 kN 20 kN ww. wwwww wwww Change in length, õL - 0.3111 mm (Compression)
b2 h G B M. Q4) For the given system; a) Draw internal force diagrams and determine the most critical section. b) Show the stress distribution on this critical section and find the maximum normal stress. GIVEN: (1 = 50 cm, {2= 30 cm, M, = 5000 Nem, q. = 20 N/cm, bị = 4 cm, b2 = 2 cm, h = 4 cm, t= 1 cm
A solid section di = 50 mm diameter steel bar; It is placed in a steel tube with an inside diameter d2 = 65 mm and an outside diameter d3 = 75 mm. The rod and tube are rigidly supported at point A and rigidly connected to a cover plate at point B. L = 660mm, T = 2 kN.m a) According to the maximum shear stress in the rod and tube; b) Calculate the angle of rotation of end B in degrees. (G = 80 GPa)
F2 Q1) Axial displacement of point C in the system shown on the left is 0.01 cm. Find the maximum elongation of the bar and the maximum normal stress. A F1 A. GIVEN: F2 = 100 kN, (1 = 240 cm, €2= 160 cm, bi = 5 cm, bz=10 cm, h=5 cm, E=2.107 N/em², a=20 cm Note: neglect stress concentration. h bị b2 A-A section
Q1: Considering the forces acting on the bar having solid circular cross-section, and an elastic modulus of E=200 GPa ; 50 mm 20 mm 15 kN 20 kN 30 mm 12 kN a) Draw the normal force diagram of the whole bar and obtain the normal stress at each section of the bar. A B C 0.5 m 0.3 m 0.4 m b) Calculate the elongation of point A with respect to point C c) If the factor of safety of the system is foreseen as 1.75, calculate the minimum yield stress of the bar material (-
The force applied at the handle of the rigid lever causes lever to rotate 0.04 radians clockwise about the pin connection at B. if each cable is made of steel (E=200Gpa) and has a cross-sectional area of 3x10^-3m^2. Calculate a) The average normal stress in each cable? b) the force applied at E? The horizontal distance between points D and E is 200mm
Q1. A crane hook has a triangular section at x-x as shown in Fig. Find the maximum stress at point P. 5 kN 60 0: 40 20 An dimiencions in mm
Problem 2: A pressure vessel with p = 200 psi internal pressure is subjected also to a twisting moment T = 450 kips in. The vessel has an internal diameter of 20 in and a wall thickness of 0.25 in. a) Draw a Mohr's circle for an element on the front surface, as shown, and determine the principle stresses. b) Determine whether the in-plane maximum shear stress is equal to the absolute maximum shear stress. c) Determine the tensile yield strength of a ductile material which has a factor of safety of 5 for this loading. Use the maximum shear stress theory.
Q2: A cast iron beam is of T-section as shown in Fig. The beam is simply supported on a span of 6 m. The beam carries a uniformly distributed load of 2 kN/m length on the entire span. Determine the maximum tensile and maximum compressive stresses. (25 marks) 80mm 15mm 60mm 15mm
Question 2) A force of magnitude F=28 kN, which makes an angle of θ=35 ° with the horizontal in the xz plane from point B, and a moment of magnitude M=18 kN.m from point C in the z direction acts on the arm in the figure. The lengths of the arm are also given as L1=1.5 m and L2=1.2 m. It is desired to determine the stress state of point A on the a-a section taken from the arm. The radius r of the section is r=0.012 m and the shear modulus of the arm material is G=75 Gpa. According to this; Question 2-A) Find the shear stress at point A due to the shear force. (Write your result in MPa.) Question 2-B) Find the shear stress due to the torsional moment at point A. (Write your result in MPa.) Question 2-C) Find the normal stress caused by the normal force at point A (Write your result in MPa.) Question 2-D) Find the normal stress caused by the bending moment at point A. (Write your result in MPa.)
Question 2) A force of magnitude F=28 kN, which makes an angle of θ=35 ° with the horizontal in the xz plane from point B, and a moment of magnitude M=18 kN.m from point C in the z direction acts on the arm in the figure. The lengths of the arm are also given as L1=1.5 m and L2=1.2 m. It is desired to determine the stress state of point A on the a-a section taken from the arm. The radius r of the section is r=0.012 m and the shear modulus of the arm material is G=75 Gpa. According to this; Question 2-A) Find the shear stress at point A due to the shear force. (Write your result in MPa.) Question 2-B) Find the shear stress due to the torsional moment at point A. (Write your result in MPa.)
The plate has a thickness of 20 mm and the force P = 3 kN acts along the centerline of this thickness such that d = 150 mm. A) Determine the normal stress at the bottom edge of the plate Enter negative value in the case of compression and positive value in the case of tension. B)Determine the normal stress at the top edge of the plate. Enter negative value in the case of compression and positive value in the case of tension. C)Specify the location of the neutral axis measured from the bottom edge of the plate.