Engineering College

A homogeneous beam of triangular cross section is subjected to a pure bending moment as shown in figure (a). Figure (b) indicates the cross section with centroid C as the origin of the coordinate system. In which point of the cross section is the magnitude of normal stress greatest? (a) y (b) fy Mz O (a) Point B O (b) Point C (c) Points A and B (d) Point A O (e) Not enough information to tell

Answers

Answer 1

The magnitude of normal stress is greatest at point D. Point A in the triangular cross-section of a homogeneous beam subjected to a pure bending moment.

The cross-section of a homogeneous beam of triangular cross-section, the point of the cross-section where the magnitude of normal stress is the greatest is Point C.

Normal stress is a type of stress that occurs in a member when a force is applied perpendicular to the member's cross-section. It is calculated using the formula: σ = F/A

Where,σ = normal stress, F = the applied force, and A = the cross-sectional area of the member.

Now, let us consider the cross-section of the beam in question:

The centroid of the cross-section is at point C. This means that the cross-section is symmetric with respect to the y-axis. When a pure bending moment is applied to the beam, it causes the top of the beam to compress and the bottom of the beam to stretch. This creates a normal stress that is maximum at the top and minimum at the bottom.

Since the cross-section is symmetric, this maximum normal stress will occur at a point equidistant from the top and bottom of the beam. This point is point C. Therefore, the point of the cross-section where the magnitude of normal stress is the greatest is Point C.

Learn more about cross-section at:

https://brainly.com/question/28257972

#SPJ11

Related Questions

Other Questions
Help me. Do you think people have a responsibility to learn how to use new technologies? Why or why not? how might a scientist determine whether a trait is sex-linked by observing the offspring of several genetic crosses? 4. compare and contrast how is the expression of sex-linked genes both similar to and different from the expression of autosomal genes? How many sides has a polygon if the sum of itsinterior angles is 1440 .2 In the diagram below, given that XY = 3cm, XZY = 30 and YZ = x, is it possible to solve for x using the theorem of Pythagoras? Motivate your answer. Show Calculations Jens assignment is to read at least 85 pages of a novel. Jen has read 31 pages. How many pages p does Jen have left to read? Write an inequality that represents this situation. Then solve the inequality Which of the following three people is most closely aligned with the theory and practice of volunteerism? A. Tessie Mobley B. Paul Robeson C. Herbert Hoover P, Q, R, S, T and U are different digits.PQR + STU = 407 Estimating the within-group variance. Refer to the previous exercise. Here are the cell standard deviations and sample sizes for cooking enjoyment: Find the pooled estimate of the standard deviation for these data. Use the rule for examining standard deviations in ANOVA from Chapter 12 (page 560) to determine if it is reasonable to use a pooled standard deviation for the analysis of these data. What is provides a reference for coding outpatient services such as vaccinations, ear canal irrigation, and osteopathic manipulation services? What does strayed mean when she tells greg that she hopes the mountain misery is ""not literal""? in data science, is when a data analyst uses their unique past experiences to understand the story the data is telling. during thegrowth stage of the product life cycle, sales begin to rise, as do profits, as companies begin to take advantag e of economies of scale in purchasing, manufacturing, and distribution. (true or false) people from every nation rely on the same petroleum and steel to drive their cars and build their homes. these two products are examples of needs. multiple choice homogenous bundled basic universal When Joselyn went to the store she bought 2.7kg of salt water taffy. What would Joselyn do to find out how many grams she bought?A. Divide by 1000B. Multiply by 1000C. Divide by 100D. Multiply by 100 Decide which statements would mostly likely belong to the author or to his opposition match each statement to the corresponding column. 6. Examples of price discrimination Complete the following table by indicating whether or not each scenario is an example of price discrimination. Hint: To determine whether a scenario is an example of price discrimination, think about whether the market can be segmented into two groups that pay different prices for the same good. Price Discrimination Scenario Yes No A local boutique is having a sale on sweaters, but customers are not aware of the sale until they are already in the store. In other words, there is no advertising of the sale other than signs in the back of the store that cannot be seen from the outside. All sweaters are marked as 25% off. Southeast Airlines offers domestic flights to a variety of U.S. cities. The company's last-minute flight discount service, Ping, can be downloaded for free from its website. Each day, Ping will alert users to that day's deals. These deals are available for a short period of time and are good for travel only between certain locations during specified travel periods. Therefore, business travelers tend not to take advantage of these offers. A hawk flying at 19 m/s at an altitude of 228 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 228 x^2/57 until it hits the ground, where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter. Coca-Cola launched 500 drinks around the world, some of which are truly unique. The Indian Coke subsidiary launched a chunky mango juice. This is an example of a ________ strategy.A. nationalB. downstreamC. multidomesticD. upstream as noted in this chapter, plants help to reduce water runoff and soil erosion, both of which affect the health of streams and rivers by impacting water quality. soil erosion increases the silt load in water and this literally smothers living organisms, particularly plants and invertebrate species. runoff water can carry pollutants, particularly pesticides and herbicides from agricultural land. read the description of each landscape and rank them from best stream quality to worst stream quality. 1: streams cutting through small farms with several different crop types and natural vegetation buffers between the fields and the streams. 2: a large floodplain area covered with lowland forests and swamps full of emergent vegetation, with small streams cutting through the area. 3: an urban housing development where the trees growing along the streams were removed and replaced with lawns. 4: a system of large farms with no buffer vegetation between the fields and the streams that cut through the farms. question list (4 items) (drag and drop into the appropriate area) landscape 1 landscape 2 landscape 3 landscape 4 correct answer list best stream quality HELP PLS combine the like terms 3x+5-x+3+4x