Problem 6. [Concepts: Spatially varying average normal stress, and integration] The bar has a cross-sectional area of 400(105) m². If it is subjected to a triangular axial distributed loading along its length which is 0 at x = 0 and 9 kN/m at x = 1.5 m, and to two concentrated loads as shown in the figure. a) Determine the average normal stress in the bar as a function of x for 0

Problem 6. [Concepts: Spatially varying average normal stress, and integration] The bar has a cross-sectional area of 400(105) m². If it is subjected to a triangular axial distributed loading along its length which is 0 at x = 0 and 9 kN/m at x = 1.5 m, and to two concentrated loads as shown in the figure. a) Determine the average normal stress in the bar as a function of x for 0

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: The slope of the 4.6 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: The vector value has both direction and the magnitude. some of the example are velocity, force…

Q: a) b) QUESTION/ The stress state at a point on the free surface of a body is defined as shown below.…

A: from the above diagram;

Q: Example 1: A beam with an inverted tee-shaped cross section is subjected to positive bending moments…

Q: A thin rectangular plate having the dimensions of a -20 mm and b-12 mm is acted upon by a stress…

A: A rectangular plate given asThe resulting strain Need to findChange in length in diagonal AC and QB

Q: GIVEN 30 B y 25 Oy ay 25 25 25

Q: For the state of stress shown, determine the range of values of for which the magnitude of the…

A: Given, X=100 MPa Y=45 MPaτx'y'≤40 MPaTo determine,permissible ranges of θ

Q: Short problems: 1.1 Torsional stresses: without doing any calculation, sketch the shear stress…

A: Step 1: to calculate shear stress distribution. Use the equation tau equals T times r divided by J ,…

Q: [20 10 01 [o] 10 100 0 0 5] a. Determine the stress matrix for this stress state if the axes are…

A: Data given Find: (a) Determine the stress matrix for the given stress state if the axes are…

Q: 2. The state of plane stress at a point is represented on the element shown in the figure below. (a)…

Q: 1. A tubular beam with circular cross section has an outer diameter do 300 mm and wall thickness t =…

Q: Q5/ A thin plate is subjected to plane stress conditions. The stresses acting on the plate are as…

A: Step 1: Step 2: Step 3: Step 4:

Q: Problem#1 A cantilever beam along with its cross-section is shown in the figure below. 1) Determine…

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

Problem 6. [Concepts: Spatially varying average normal stress, and integration] The bar has a
cross-sectional area of 400(106) m². If it is subjected to a triangular axial distributed loading
along its length which is 0 at x = 0 and 9 kN/m at x = 1.5 m, and to two concentrated loads as
shown in the figure.
a) Determine the average normal stress in the bar as a function of x for 0<x< 0.6 m.
b) Determine the average normal stress in the bar as a function of x for 0.6<x< 1.5 m.
-8 kN
-0.6 m
0.9 m
4 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: Given data

VIEW

Step 2: Reaction calculation

VIEW

Step 3: (a)Average normal stress

VIEW

Step 4: (b)Average normal stress

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 5 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

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
Rock mechanics class appreciate your help and explanation
Mention correct options with solution
Determine the principal stress, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the max stress element in each case. Solve the question using Mohr Circle. OX = 41 gy = 41 x 2 EXy = 41 /2 %3D
Q .A beam has a force of 25kN through the shear centre. For the system: a) determine the second moment of area about the x - x plane and b) determine the shear stress distribution along the y - y plane for positions A to F, c) plot the shear stress distribution on a suitable graph, labelling the principal values cross-section as shown in Figure Q. The beam is subjected to a vertical shearing Centre of Gravity X y 30 mm 180 mm y A B -C.-. -E- 10mm x 5mm Figure Q: Beam cross-section 30 mm 10 mm
2
Stress in shaft due to Bending Load and Torsion. A shaft has a diameter of 4 cm. The cutting section shows in the figure is subjected to a bending moment of 2 kN-m and a torque of 2.5 kN-m. Determine: 1. The critical point of the section 2. The stress state of the critical point 3. The principal stresses and its orientation Using Morh’r and Draw Stress element transformation
5) Curved beam under bending moment The curved member is symmetric and is subjected to a moment of M. The cross-sectional area of the member is also shown. Determine the bending stress in the member at points A and B and draw the bending stress distribution on this cross-section (A-B). compare the stress distributions on the respective cross-sections. M:1300NM , R:220mm , k:42mm, h:54mm , t:12mm t mm B. h mm k mm R mm M M
Solve the problem with diagrams and figures in the solution.
Please answer the question in the picture 1.1 , and make sure you do the right work.
Q1/ For the element shown in figure 1 below, determine using Mohr's circle: 1. Shearing and normal stresses on the plane whose normal are at 60° with the x-axis 2. The principle stresses and their orientation (angles) 3. The maximum shearing stresses, their associated stresses and their orientations (angles). 20 MPa 10 MPa Figure 1. 20 MPa 10 MPa
Show step by step solutions