Example 1.2(a) A 25 mm diameter bar is subjected to an axial tensile load of 100 kN. Under the actionof this load a 200 mm gauge length is found to extend 0.19 x 10-3 mm. Determine themodulus of elasticity for the bar material.(b) If, in order to reduce weight whilst keeping the external diameter constant, the bar isbored axially to produce a cylinder of uniform thickness, what is the maximum diameter ofbore possible given that the maximum allowable stress is 240 MN/m2? The load can beassumed to remain constant at 100 kN.(c) What will be the change in the outside diameter of the bar under the limiting stressquoted in (b)? (E = 210 GN/m² and v = 0.3). Example 1.1Determine the stress in each section of the bar shown in Fig. 1.19 when subjected to an axialtensile load of 20 kN. The central section is 30 mm square cross-section; the other portions areof circular section, their diameters being indicated. What will be the total extension of thebar? For the bar material E = 210 GN/m².20 kN250-0B100.30Fig. 1.19.400Not to scaleall dimensions mm20 kN

As per Bartleby's guidelines we are supposed to answer only first question.Kindly repost other…

Example 1.1 Determine the stress in each section of the bar shown in Fig. 1.19 when subjected to an axial tensile load of 20 kN. The central section is 30 mm square cross-section; the other portions are of circular section, their diameters being indicated. What will be the total extension of the bar? For the bar material E = 210 GN/m². 20 kN -250 -0 20 100. A (2) 30 Fig. 1.19. 400 Not to scale all dimensions mm 20 kN

Example 1.1 Determine the stress in each section of the bar shown in Fig. 1.19 when subjected to an axial tensile load of 20 kN. The central section is 30 mm square cross-section; the other portions are of circular section, their diameters being indicated. What will be the total extension of the bar? For the bar material E = 210 GN/m². 20 kN -250 -0 20 100. A (2) 30 Fig. 1.19. 400 Not to scale all dimensions mm 20 kN

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 100 mm 25 mm 125 mm M. 75 mm The beam is subjected to an internal moment of M = 3 kNm. 25 mm 75 mm…

Q: A point in a strained material is subjected to the stresses as shown in figure. The normal stress…

A: For a pointed strained material,to find The normal stress acting on plane inclined at 30o…

Q: In the Figure 5, if the Young modulus is 200 Gpa, the strain percentage in the direction of the…

Q: Figure 40° 3 ksi B 5 ksi 1 of 1 Determine the stress components acting on the inclined plane AB in…

Q: Determine the normal stress in rod (1) for the mechanism shown. The cross-sectional area of rod (1)…

A: Given data a=5.5 in. b=9.0 in. c=8.0 in. d=4.0 in. P=450lb Draw free body diagram

Q: A structural steel beam 8.00 m long is placed between two rigid supports when the temperature is…

A: Given Data: The length of a structural beam is, L=8.00 m The initial temperature of the steel beam…

Q: 2.28. The three bars shown in Fig. 2-45 support the vertical load of 5000 lb. The bars are all…

A: I have attached the image below Explanation:Step 1:Step 2:

Q: Problem 7.2-18 The surface of an airplane wing is subjected to plane stress with normal stresses o,…

Q: For the state of stress given in the illustration below, determine the normal and shear stresses on…

A: Given, Horizontal stress (compressive), σx = 7250 psi Vertical stress (tensile), σy = -29000 psi…

Q: A stepped bar is subjected to an axial load of P = 2000 N as shown in Fig. 1.35. If the material of…

A: Given data Here P=2000NE=207×109 paTo find : stresses developed in steps I,II and IIIi.e…

Q: 2.3 The bar ABC in Fig. (a) consists of two cylindrical segments. The material of the bar has the…

A: Given: The axial load is 20 kN. Consider the figure,

Q: A state of stress at a point is the result of two separate actions; one produces the pure shear of…

Q: Determine the shear and moment throughout the beam as functions of x.

A: RA+ RB = 250 lb + 900 lb + 250 lb = 1400 lb…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

Example 1.2
(a) A 25 mm diameter bar is subjected to an axial tensile load of 100 kN. Under the action
of this load a 200 mm gauge length is found to extend 0.19 x 10-3 mm. Determine the
modulus of elasticity for the bar material.
(b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is
bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of
bore possible given that the maximum allowable stress is 240 MN/m2? The load can be
assumed to remain constant at 100 kN.
(c) What will be the change in the outside diameter of the bar under the limiting stress
quoted in (b)? (E = 210 GN/m² and v = 0.3).

Example 1.1
Determine the stress in each section of the bar shown in Fig. 1.19 when subjected to an axial
tensile load of 20 kN. The central section is 30 mm square cross-section; the other portions are
of circular section, their diameters being indicated. What will be the total extension of the
bar? For the bar material E = 210 GN/m².
20 kN
250
-0
B
100.
30
Fig. 1.19.
400
Not to scale
all dimensions mm
20 kN

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: Note:

VIEW

Step 2: Given

VIEW

Step 3: Stress calculation

VIEW

Solution

VIEW

Step by step

Solved in 4 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

1. The state of stress in a solid is defined by: o, = 20, ơ2 = -40, 03 = -10, t12 = 0, T23 = -15, T13 =15 (all stresses in ksi). 1.1. Find the direct stress, o,, on an internal surface whose normal ī is at 60° to axis ī, and makes equal angles with axes i, and i3. 1.2. Find the principal stresses, opi, and their directions, ñī, (i = 1,2,3). HINT: you do NOT have to do this by hand; use the eigenvalue function in MATLAB, Mathematica or Wolfram Alpha.
Determine the strain energy stored in the frame shown in the figure. Take EA=GA=EI=1.
FIGURE 2 shows the cross section of a reinforced concrete beam with a T shape. The maximum moment of resistance of the beam is 499,514 kNm. m = 15 Calculate: 4.1 The area of the reinforced steel 4.2 The stress in the concrete and the reinforce steel (Nov99) b = 1 200 t = 200 240 NA d. 520 Fig. 2 300 as82 8.2
For the hollow cylindrical bar shown in figure 3. Determine the maximum shear stress, maximum shear strain and rotation angle. E=200GPA and Poisson's ratio =0.2 T. T= 80KN-M A 6 mm 500 L= 1.6m Sectio A-A in cylinder
2. For the given state of stress shown in figure 2. 48 MPa Figure 2. a. Construct Mohr's circle for this plane stress. ||₁6 16 MPa 60 MPa Determine the principal stresses and principal planes.
A punch for making holes in steel plates is shown in Figure 3. Assume that a punchhaving diameter d = 20 mm is used to punch a hole of 8 mm plate. If force, V = 110 kNis required to create the hole, determine the shear stress in the plate.
Q.b.
11.3 (A) Calculate the strain energy stored in a bar of circular cross-section, diameter 0.2 m, length 2 m: (a) when subjected to a tensile load of 25 kN, (b) when subjected to a torque of 25 kNm, (c) when subjected to a uniform bending moment of 25 kNm. For the bar material E= 208 GN/m³, G = 80 GN/m². [0.096, 49.7, 38.2 N m.]
Problem (7.2): The surface of an airplane wing is subjected to plane stress with normal stresses ax, Oy and shear stresS Try, as shown in the Figure (7.31). At a counterclockwise angle 0=30° from the x axis the normal stress is 35 MPa tension, and at an angle 6 = it is 10 MPa compression. If the stress o, equals 100 MPa tension, what are the stresses oy and Try? 50° %3D Oy Txy Ox=100 MPa 7 31)