The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is oy = 407 MPa, whereas that used for the rectangular cross-section is 0.90y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm N b h a + N P H

The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is oy = 407 MPa, whereas that used for the rectangular cross-section is 0.90y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm N b h a + N P H

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: A uniform elastic rod of length 4L and constant cross-section, is fixed at its left end as shown in…

A: For an uniform elastic rod of constant cross section,Length : 4LAn axial force P is acting at the…

Q: The uniform wire is bent into the shape shown and held by the frictionless pin at O. Determine the…

A: It is given that,

Q: The piece of rubber is originally rectangular. Calculate the average shear strain Yxy at A if the…

Q: Three steel rods, each having a cross-sectional area of 500 mm2, are assembled in a symmetrical…

Q: o=Fe" is known to be the stress-strain relation of the material during tension and compression.…

Q: The 1.16-in.-diameter rod in (Figure 1) is subjected to the loads shown. Determine the state of…

Q: 1 - A bronze rod 3 m long with a cross sectional area of 320 mm² is placed between two rigid walls…

Q: An element in pure shear is subjected to stresses Tgy = 3,900 psi, as shown in the figure. Consider…

Q: What is the max shear stress in the shaft? Input your answer as a value only in MPa to one decimal…

Q: 6...

A: If you have further doubts about this. I will be happy to help you solving this. Thank you!

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

calculate this ;

1. The numerical value of plastic section modulus of the solid rectangular section is

??3

2. The numerical value of plastic moment of the solid rectangular section is

N.mm

The channel shape cross-section and the rectangular cross-section shown in the Figure
Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the
material used for the channel shape cross-section is oy= 407 MPa, whereas that used
for the rectangular cross-section is 0.90 y.
Compute the thickness of the web, t, of the channel shape section if the two cross
sections have identical plastic bending moment about the z-axis.
In Figure 4, h= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm
N
Hif
b
h
a
+
ta
a
Z
d
H

1. The numerical value of plastic section modulus of the solid rectangular section is
mm³
2. The numerical value of plastic moment of the solid rectangular section is
N.mm

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: Given data

VIEW

Step 2: calculate plastic sectional modulus and plastic moment

VIEW

Step 3: Determine thickness of web

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

= 29,000 For the structure and loading shown below, find the lateral deflection at the top. Use E ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. t. 201 8K 10! 1. What is the deflection at the top in inches (two decimal places) ot
1. Determine the "t" parameter of cross section of the beam in the figure below (use Navier formula) and the transversal displacement of section A. The allowable stress of the beam material is considered of 100MPa. The cross section of the beam is given in the next figure. q=5KN/m M=4KNm F=3KN L₁=3m L₂=1m L3=1m L1 q A L2 L3 M 8t 2t 2t 10t 2t
For the beam shown, calculate the bending stress at a point 70 mm. from the top of the beam. P = 59, a = 233, b = 296 Round your answers to 2 decimal places.
Please answer the following question in the picture and make sure you draw a free body diagram also use positive sign convention for internal forces please, Thank for your help. Post pictures of your work instead of typing it.
A beam of rectangular cross-section 40 x 20 mm is loaded with tensile force 1000 N as shown in figure. A B BO Calculate the shear stress on oblique plane at 0 = 45° A 0.625 MPa C 0.31 MPa F D 1.25 MPa
Part 2,3,4
In the following structure, determine the stress in each bar. Indicate whether the stress is tensile or compressive. The area of each bar is indicated in this figure. Answ. AB = 8.33 ksi (C), BC = 8.33 ksi (C), DE = 25 ksi (T), AD = 16.6667 ksi (T), BE = 8.33 ksi (T), AE = 27.77 ksi (C)¸ CE = 10.41667 ksi (T).
T·r T (from torsion) = Tr4 J ="- (Solid rod) F Onormal = A o (from bending) M•y - (Solid rod) The solid rod shown in the figure below has diameter of 1.25 in. If it is subjected to the force of 60 lb, determine the state of stress at point A using the principle of superposition. Neglect the weight of the rod, and the stress due to the I %3D I 4 transverse shear force. 60 lb k-10 in.- 15 in. Front View -20 in. В
Determine the state of stress acting at point D. Take P₁ = 50 kN and P2 = 10 kN. OD= B ANSWER: P₁ TD= -1.5 m 1.5 m--1.5 m- 0.5 m 40 mm 100 mm 60 mm T D E P₂ 80 mm Part A Find o D. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. ANSWER: C Q Tap image to zoom Part B Find TD- Express your answer to three significant figures and include the appropriate units.
None
The frame supports the distributed load shown. Determine the state of stress acting at point E. Show the results on a differential element at this point. The section is composed of two materials where E₁ = 200 GPa, and E₂ = 150 GPa AC xxxx E. 4 kN/m -1.5 m 1.5 m--- -3 m 3 m BA 20 mm 60 mm 20 mm 5 m E 50 mm E₁ = 200 GPa E₂ = 150 GPa
The plate has a thickness of 20 mm and the force P = 5 kN acts along the centerline of this thickness such that d = 150 mm. (Figure 1) Figure d‡ 200 mm a 1 of 1