For the diamond-shaped cross section shown, bending occurs about the z axis. and the surface transmits a net shear force V, in the positive y direction. Since the maximum Txy shear stress due to V, occurs where Q/b is a maximum. is maximum at y = ±h/8. prove that Txy N b 1/22 2

For the diamond-shaped cross section shown, bending occurs about the z axis. and the surface transmits a net shear force V, in the positive y direction. Since the maximum Txy shear stress due to V, occurs where Q/b is a maximum. is maximum at y = ±h/8. prove that Txy N b 1/22 2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.9.4P: A circular pole is subjected to linearly varying distributed force with maximum intensity t0....

See similar textbooks

Related questions

Q: A frictionless piston/cylinder apparatus 100 mm in diameter contains water vapor with a quality of…

A: intial qaulty x1=0.2mass og the piston=16 Kgpiston dia = 100mmintial height =50 mmT1=105.1…

Q: Gate AB in the figure below is a quarter circle 8 feet wide into the paper. Find the force F just…

A: Given:To find:Force F needed to prevent rotation about B.

Q: The mechanical system shown in figure is driven by the applied force fa(t). When x1 = x2 = x3 = 0,…

A: Given:To find:Draw the free body diagrams and write the equations of motion.

Q: A cylinder-piston apparatus contains 29 kg of air at 30°C. Weights on the piston fix the initial…

Q: Please assist with this practice question 8. I don't know where to begin with this. Give details on…

Q: 1 [Short Answer) A pitot tube is used to measure the velocity of incoming flow, the velocity is 9…

A: The velocity of flow is The static pressure is .

Q: 1. A gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three…

Q: 3-66. Determine the tension developed in cables AB, AC, and AD required for equilibrium of the…

A: The weight of crate is

Q: Determine the average normal strain along the ' axis. Express your answer in millimeters per…

Q: A cylindrical rod of steel (E=207 GPA), havi load of 11,100 N. If the length of the rod is 5 allow…

Q: In aerospace and automotive industries, how are prototyping systems being used to develop and test…

A: Prototyping systems play a crucial role in the development and testing of autonomous vehicles and…

Q: Determine the tensions in the cables AB, AC, and AD.

Q: -The mass of the suspended crate is 5 kg. What is the tension in cables AB and AC i Newtons? 5m 10 m…

A: The mass of crate is

Q: Water is at 200°C and at a pressure of 2 MPa. What is the phase description

A: According to the given dataT=200 deg CP=2MPaWe need to findThe phase of the state

Q: Question 3 The work done for a thermodynamic process can be calculated using the tabulated data and…

A: To solve this problem, we need to calculate the work done for thermodynamic process using the given…

Q: sing the dot product, find the compon

Q: Determine the moment Mox produced by the force F = 50 lb which tends to rotate the rod about the x…

Q: Use the value of the buoyant force to calculate an experimental value of the volume of the 250 g…

A: Given Data:Question 2 and Question 3.to find:explanation for difference between calculated volumes.

Q: ·50 70- 1.80 .60 .60 .8 .40 4.00 1.00 1.00 1.80 ANGLE STOP .50 40 1.60 .50 2.20 .50 1.20 .60 .80…

A: Draw the top, front and the right side view of the given figure.

Q: N-m B 900 N-m The solid aluminum s an allowable shear st 1) e largest torque T₁ that can be applied…

Q: weight of 9.2 lb and is attached to a 14-lb effect of friction is neglected. A) Determi d AB passes…

Q: Explore the concept of digital twin technology in prototyping and its applications across industries…

A: The concept of digital twin technology in prototyping is a revolutionary approach that involves…

Q: Put in ternary links without changing its mobility. Sketch linkage.

A: Given drawing of the ternary link mechanism or four bar mechanism

Q: 2) The tapered bar is made of 1 in. thick aluminum (E = 10² psi). It tapers linearly from 4 inches…

A: big height= B=4"small height b=2"total length L=12 inapplied load= 200 lbto findaverage normal…

Q: 1- Which one in figure is gas out in Spherical Separators: a- 1 b-2 c-31 d-4 2- Which valve are…

A: Given:6 Multiple Choice Questions.To find:Correct option with required explanation.

Q: 2₂- 2m -3 m 600 N m 4 m Determine the reaction at roller A. Express your answer to three significant…

Q: Consider the bar loaded as shown in the diagram. Determine : a) Nodal displacements. b) Element…

A: Write the given data.

Q: Determine a general expression for the normal force NA exerted by the smooth vertical wall on the…

A: The mass of cylinder is .The mass of bar is .

Q: HW3_4 The displacement, uy, along the simply supported beam shown below is given as x3 - (²) x² +…

A: This problem can be solved using Matlab and the code using the Newton raphson method is given…

Q: Xb Question 2: The applied force P causes block B to accelerate at a = 5 -0.25x ft/s², where x, is…

A: Given Data:To find:Free body diagram

Q: How many basic dimensions are on the print shown in the figure provided?

A: Basic dimensions are theoretically exact dimensions that define the ideal size, location,…

Q: system contains liquid water. Energy i

Q: A connecting rod is supported by a knife-edge at point A. For small oscillations the angular…

A: Given data:To find:Angular position when t = 3 sec.

Q: 5-64 By modern standards, the shaft design of Prob. 5-63 is poor because it is so long. Suppose it…

A: To Find :The minimum shaft diameter to avoid yielding.Given :The F.B.D can divide in two part are,

Q: Problem 3: Smoke and Steam One of the most enduring images of the Industrial Revolution is a steam…

Q: power the refrigerator draws when running.

A: Heat remove rate time T=1/4It is asked to find the power during running time

Q: he systems shown is initially at rest. Neglect axle friction and the mas 100 lb 100 lb

Q: Given a Brayton cycle, with a pressure ratio equivalent to 12, as shown in the figure, determine its…

Q: ne angular velocity of rod DE is a constant 22 rad/s clockwise 8 in. A B

Q: A closed piston-cylinder contains 5-kg of water. Initially, the temperature of the water is 225°C…

Q: 2. For the force diagram shown in the accompanying illustration, draw the shear force and moment…

A: To make shear force diagram and bending moment diagram, find support reactionEquilibrium equation…

Q: A ship capable of making a speed of 16 knots through still water is to maintain a true course due…

A: Given:The ship capable of making speed .The speed due west is .The distance ship to proceed is…

Q: Cam mechanisms are used in many machines. For example, cams open and close the valves in your car…

Q: Given a Brayton Cycle, with a pressure ratio equivalent to 12, as shown in the figure, determine its…

Q: The force in the cord AB is F=340 lb. Express the force as a cartesian vector. What is the length of…

A: The force in cord AB is

Q: Determine the; HIGHER HEATING VALUE (HHV)

A: Given data to find the HHV of coal

Q: An industrial robot is being used to position a small part P. Calculate the magnitude of the…

Q: Calculate the specific volume, in m3/kg, of R-134a at 110 kPa and 22°C. Report your answer to four…

A: The pressure is The temperature is

Q: Given the ultimate/gravimetric analysis of coal as follows: C=81.95%, H2 = 4.63%, S=0.96%, N2=1.3%,…

A: Given data to find the HHV of coal

Q: A ball with mass 0.65 kg is thrown upward with initial velocity 5 m/s from the roof of a building…

A: mass, m = 0.65 kginitial velocity, vi = 5 m/sHeight of the roof, ho = 100 mForce due to air…

Question

For the diamond-shaped cross section shown, bending occurs about the z axis,
and the surface transmits a net shear force V, in the positive y direction. Since
Txy
shear stress due to V, occurs where Q/b is a maximum,
is maximum at y = ±h/8.
the maximum
Txy
prove that
Z
T

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: Draw the given diagram.

VIEW

Step 2: Write the shear stress at the base of considered triangular section.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 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 circular pole is subjected to linearly varying distributed force with maximum intensity t0. Calculate the diameter daof the pole if the maximum allowable shear stress for the pole is 75 M Pa.
Determine the maximum positive normal bending stress that occurs in member ABC of the engine crane given the following information: Engine weight = 1500 lb Member ABC height (vertical cross sectional dimension) = 7 in Member ABC width (horizontal cross sectional dimension) = 1 in Express your answer to the nearest whole psi value. In your work, draw the shear and moment diagram for member ABC. For the question above, determine the maximum shear stress in member ABC that occurs between points A and B. Express your answer using the nearest whole psi value.
Find the max shear stress in a 200mm tall, 150mm wide rectangular cross section using the appropriate reduced shear stress equation. Assume Vmax = 12kN. %3D
Determine internal shear force, internal bending moment and internal normal force at point c
Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure Z 1 in 112 in y in → ← ¹ in 12 in D C B A ++ in The area is determined to be 2.0625 in². The distances from the neutral axis to the top and bottom surfaces are determined to be 0.858 x in and The second moment of area is determined to be 0.447 in 4. 1.017 xin.
6. Compute the maximum shear stress and the statical moment for a steel rod with a diameter of 10 in, with a maximum moment of 520 lb ft and a maximum shear of 12 kips (see image below to see information regarding centroids). Data: D = 10 in M = 520 lb-ft V = 12 kips Solution: 1= Ap πT Dª = 64 1 = 490.87 in¹ · (H-DP-²) = Tmax= 2D y === 2.12 in 3m Q=A, y = 83.33 in³ = 39.27 in² V.Q 1 t = 203.72 psi Circular Ap. y= 2D 3m
Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure, с - 12.5 B A y I 50 100 75 12.5- 12.5 25 D 100 The area is determined to be 3750 mm² The distances from the neutral axis to the top and bottom surfaces are determined to be 57.292 The second moment of area is determined to be 4.293 x 106 mm4. mm and 42.708 ✪ mm.
Q.2 The red steel pipe below has a concentrated load P 880 lb applied at its end. The total length is 4 ft and the inner and outer diameters are 3.7 in and 4.2 in respectively. Determine the magnitude of the maximum bending stress Determine the magnitude of the maximum horizontal shear stress (Hint: Consider the cross-section carefully as you evaluate these terms) 3.7" 4.2"
Determine the normal force, shear force, and moment at point C. Take that P = 8 kN and M = 33 kN m. (Figure 1) Figure M B . 1 of 1 -1.5 m 1.5 m 1.5 m-1.5 m-
The beam is solid steel with a circular cross-section of 200mm in diameter. Analyze the cross-section 1.24m to the right of the left end of the beam. a: At the "cross-section of interest", the magnitude of the shearing force in the beam is? b: At the "cross-section of interest", the magnitude of the maximum normal stress in the beam is? c: At the "cross-section of interest", the magnitude of the maximum shear stress in the beam is?
From the stress states given, draw the 3D Mohr's circle (lable the principle normal stresses, maximum and absolute shear stresses), and sketch the principle and shear planes. σxx = 70 ksi, σzz = -50 ksi, ?xy = 50 ksi (counterclockwise)
Below Figure shows the section of an angle purlin. A bending moment of 60 5 kN.m is applied to the purlin in a plane at an angle of 30 deg to the vertical y axis. If the sense of the bending moment is such that both its components Mx and My produce tension in the positive xy quadrant, calculate the maximum direct stress in the purlin, stating clearly the point at which it acts. * 100 mm BỊ 10mm 30° C ID 10mm 57 MPa. 89 MPa. Non Above 72 MPa. 125mm