3. A 1.40 m long steel circular bar is acted upon by forces as shown in fig below. determine the total elongation of the bar. Take E steel=200Gpa and E brass = 85GN/m? %3D 4 cm 3 cm 3 cm 100 kN 40 kN 60 kN Steel 80 kN Steel Brass 40 cm 60 cm 40 cm

3. A 1.40 m long steel circular bar is acted upon by forces as shown in fig below. determine the total elongation of the bar. Take E steel=200Gpa and E brass = 85GN/m? %3D 4 cm 3 cm 3 cm 100 kN 40 kN 60 kN Steel 80 kN Steel Brass 40 cm 60 cm 40 cm

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: Determine the allowable value of force P (in Newton ), if a bar of diameter d = 32 mm and length L =…

A: Given: Bar diameter, d = 32 mm Length, L = 0.60 m = 600 mm Modulus of Elasticity, E = 44 GPa =…

Q: A weight is suspended from two wires. One wire is steel and the other aluminium. The elastic modulus…

Q: A steel [E = 200 GPa] rod with a circular cross section is 14-m long. Determine the minimum diameter…

A: Given:E=200 GPaL=14 mP=37 KN∆L=5 mm

Q: Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a…

A: Given: The initial diameter of the rod is d=5 mm. The Young's modulus of material is E=120 MPa. The…

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

Q: (2) Determine the internal forces and normal stresses in bars (1) and (2). (+= 850 mm 570 mm…

Q: 5. A solid circular steel rod 6 mm in diameter and 500 mm long is rigidly fastened to the end of a…

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: Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a…

Q: A 30 cm long bar is 5cm square in section for 12 cm of its length of 2.5 cm diameter for 8 cm, and…

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: Bar properties Determine the internal forces and normal stresses in bars (1) and (2). (+= tension, –…

Q: A steel bar of cross section 500 mm2 is acted 45 kN upon by the forces shown in Figure. Determine…

Q: Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a…

Q: 3. A solid aluminum cylinder with an initial diameter of d = 10mm is under a compressive load P = 15…

A: Given data:

Q: The rigid, horizontal slab is attached to two identical copper rods. There is a 1. gap a = 0.18 mm…

Q: Steel bar is heated from 12°C to 65°C, all expansion is being prevented. Determine the stress…

A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…

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: A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the…

Q: A steel wire 30 ft long, hanging vertically, supports a load of 500 lb. Neglecting the weight of the…

Q: Determine the total elongation of the bar shown in figure below. Materials E (GPa) Bronze 83…

A: Given data Area of Steel section = As = 300 mm2Area of Aluminum section = Aal = 600 mm2Area of…

Q: Compound axial member ABC has a uniform diameter of d = 2.9 in. Segment (1) is an aluminum [E₁ =…

A: Given data: d=2.9 inE1=10000 ksiE2=17000 ksiL1=80 inL2=110 inδ=0.10 in Need to determine the…

Q: The system is initially unstressed but the right support is moved 3 mm to the right wherea remains…

Q: A 3mm thick hollow polystyrene cylinder (E = 3 GPa) and a rigid circular plate (only part of which…

Q: Four steel bars jointly support a mass of 25 x 103 kg. Initially the temperature is 250C. Bars A and…

A: h = 800 mm m = 25000 kg T1 = 25 oC T2 = 60 oC Cross-sectional area of A = Cross-sectional Area of D…

Q: b) A composite bar is shown in figure Qlb. Determine. The thermal stresses in copper tube and steel…

A: As we know that due to temperature rise there must be increase in length according to its…

Q: A steel [E = 200 GPa] bar (1) supports beam AB. The cross-sectional area of the bar is 700 mm2. If…

Q: 2:The load (50 kN) applied on the rigid beam (AB) s supported by the pin (A) and two rods ,one made…

Q: А + 10kN 28kN 60kN 44kN 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram for each section of…

A: Using lami's theorem TAsin1350=TCsin126.860=mgsin98.1300 TA=420.428 NTC=475.722 N Stress in each…

Q: Q2. An alloy circular bar ABCD 8 m long is subjected to a tensile force of 70 kN, as shown in figure…

A: Introduction: Internal forces are generated within the body as a result of the imposed load. This…

Q: Bar properties 450 mm Determine the internal forces and normal 500 mm? A1 = E, = stresses in bars…

A: -

Q: A brass bar having cross-sectional area of 1000 mm2 is subjected to axial forces shown in the Fig.…

A: As the math tool is not working, we are providing handwritten for the given question.

Q: A steel circular bar has three segments as shown in the fig. Determine the total elongation ofthe…

A: given;…

Q: 1. Consider a deformable homogenous siender rod of constant area along its length. It is axially…

A: According to st. Venant's theory, maximum normal strain in actual case crosses maximum normal strain…

Q: A steel [E = 200 GPa] rod with a circular cross section is 9-m long. Determine the minimum diameter…

Q: determine the allowable value of force P (in newton). if a bar of a diameter d=31mm and length L=…

A: Given: E = 42 GPa allowable stress = 161 MPa maximum elongation = 2.1 mm

Q: A brass bar having cross-sectional area of 1000 mm is subjected to axial Find the total elongation…

Q: Question 1 D B A 10kN 28kN 60kN 44kN 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram for…

A: Part a): A free body diagram is a schematic representation of all the forces acting in a member.…

Q: A Steel wire hangs vertically under its weight. What is the greatest length it can have if the…

A: Given:- A Steel wire is hanging vertically under its weight Density of the wire (ρ)= 80 kg/m3…

Q: A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the…

Q: Question 1 A steel bar with length of 4.5 m is subjected to forces as shown in the figure: 1.…

A: Given Data E=200 GPa L=4.5 m

Q: Three rods jointly support a 8kN load. Assuming that there was no stress in the rods before the load…

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

Q: 300 kN 330 kN 30 mm 15 mm 20 mm 80 kN C + 150 mm 200 mm- - 250 mm-

A: Elongation of a bar can be calculated by, δ=PLAE Here, P is the force in the member, L is the length…

Q: D B 12KN A 10KN 28kN + + 60kN 44KN + 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram for…

Q: 3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the…

Q: A metal rod, as shown in the following figure, axial loads are applied at position indicated.…

A: Given, A1 = A2 = A3 = 100 mm2 E1 = E2 = E3 = 84 x 103 N/mm2 L1 = 500 mm L2 = 600 mm L3 = 900 mm…

Q: Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…

Q: The temperature of an aluminum bar and a steel bar was raised from 40°C to 160°C. If there was a gap…

A: As per given question determine the normal stress in the aluminum bar and the change in length of…

Q: A solid circular bar of steel (G = 78 GPa)transmits a torque T = 360 N ? m. The allowablestresses in…

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

3. A 1.40 m long steel circular bar is acted upon by forces as shown
in fig below. determine the total elongation of the bar.
Take E steel=200Gpa and E brass = 85GN/m²
4 cm
3 cm
3 cm
40 kN
60 kN
Steel
100 kN
80 kN
Steel
Brass
40 cm
60 cm
40 cm

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 3 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

A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
.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.
A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).
A copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0°. (a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod? (b) If the rod diameter is 0.5 in., what is the minimum permissible length of the rod?
A non prism elk- bar ABC made up of segments AB(length £,, cross-sectional area .Inland BC (length i-,, cross-sectional area A2) is fixed at end A and free al end C (see figure). The modulus of elasticity of the bar is E. A small gap of d intension s exists between the end of the bar and an elastic spring of length Lj and spring constant k3. If bar ABC only (not tin? spring} is subjected to temperature increase A3", determine the following. (a) Write an expression for reaction forces R^ and RDif the elongation of /I BC exceeds gap length s. (b) Find expressions for the displacements of points B and C if the elongation of ABC exceeds gap length s.
A 1.40 m long steel circular bar is acted upon by forces as shown in fig below. determine the total elongation of the bar. Take E steel=200Gpa and E brass = 85GN/m2
An axial pull is acting on a bar consisting of two different materials is shown in figure.If the Young’s Modulus of M.S steel and Copper is 2 x 105 N/mm2 and 121 GPa respectively. Determine (i) Stress induced in each section, and; (ii) Total extension of the bar
1-Determine the elongation of the steel bar 1m long and 1.5 cm cross-sectional area when subjected to a pull of 1500 kg. Take E=2*10 kg/cm ?
The rigid bar AB, attached to aluminum and steel rods, is horizontal before the load P=140 kN is applied. Find the vertical displacement of point C (in mm) caused by the load P. LA=2,9 m; LS=3,48 m;AA=290 mm2; AS=464 mm2;EA=70 GPa; ES=200 GPa;L1=2 m; L2=1,6 m;
A stepped circular bar having diameter 20 mm, 15 mm and 10 mm over axial lengths of 100 mm, 80 mm and 60 mm, respectively, is subjected to an axial tensile force of 5 kN.If E = 100×103 N/mm2and Poisson’s ratio v = 1/m = 0.32 for the material of the bar, determine a) Total change in length.b) Change in each diameter.
determine the allowable value of force P (in newton). if a bar of a diameter d=31mm and length L= 0.53m is loaded in tension by force P. The bar has modulus E= 42GPa and allowable normal stress of 161 MPa. The elongation of the bar must not exceed 2.1mm.