The shown section transmits a positive moment about z-axis M, = 50 N.m, a positive moment about y-axis My = 400 N.m, positive shear force in y-axis V. z-axis V. = 200 N. Determine the normal stress at point D and the transverse shear stress at C given that L = 60 mm. = 300 N and a positive shear force in y 40 mm D 6 mm В

The shown section transmits a positive moment about z-axis M, = 50 N.m, a positive moment about y-axis My = 400 N.m, positive shear force in y-axis V. z-axis V. = 200 N. Determine the normal stress at point D and the transverse shear stress at C given that L = 60 mm. = 300 N and a positive shear force in y 40 mm D 6 mm В

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: 32 mm 60 mm bo 30 mm 24 mm 15 mm 180 mm 750 N 40 mm 500 N P 16 mm

A: To a cantilever beam, loading is given To determine normal and shear stress at points a, b, and c…

Q: Situation 41, 42 and 43 20 MPa 80 MPa 80 MPa 20 MPa O Zoom image Determine the normal stress along…

Q: In the figure, the circular section rod consisting of two separate sections is loaded from point B…

A: Solution Given That ζallow= 100 MPaG= 80 GPa

Q: Question 1. Determine the value and sign of the shear force at any point on length AB, BC, CD and…

A: Given Data: Load between AB= 20KnInclinrd load at C=60kNInclined load at E=40kNinclination Angle =…

Q: 8. A stress element dia is shown in fig. Compute the normal. t shear stress on plane. Am. (a) страж…

Q: Shear stress 7 produces a shear strain y., (be- the x direction and lines in the y direction) μ…

A: Data provided- γxy = 0.0012 m/m (a) γxy =δA120 0.0012×10-6 =δA0.12 ⇒ δA =…

Q: CLO 1: Determine the maximum tensile stress in MPa if P = 115 kN. 20 mm 25 mm 20 mm 3somm O 16.064 O…

Q: The following rigid structure ABCD is supported by a hinge at B and two bars at C and D. The applied…

A: Detailed step by step solution is given below, still if you have any query please feel free to…

Q: Forces P and Qx are applied at point C of the rectangular plate. A 45-degree strain rosette…

A: The given figure is shown below:

Q: soru 1 c) Draw the normal stress distribution that will occur in b)) Draw the shear stress…

A: In any structural member, when forces act, they developed the stresses in that member. The stresses…

Q: The cantilever beam in the figure is the result of joining three parts with nails. has been created.…

A: a.) Maximum agar force would be at point A Vmax =12+8 =20kN The expression for shear stress…

Q: Determine the allowable bending stress. Determine the allowable shearing stress. Determine the…

A: The values given in the question are as follows Length of the beam(L)=8 m Uniformly distributed…

Q: How will you verify that the working stress sigma is less than or equal to 28 MPa when P is 57.27 N?

A: if all the data are correct then maximum possible value for p is 45.316 N since if we apply force…

Q: 5.10. For the thin cantilever of Fig. P5.10, the stress function is given by r'y C3 6. x'y C5 9. xy…

Q: The rod shown in the figure is loaded at points A and B. The circular cross section has a diameter…

A: P = Axial compression forceP = 400 KN V = Shear forceV = 20 KNT = Torque = 20*2T = 40 KN-mM =…

Q: 10. The bar AB is supported by a hinge support at B that is in double shear and smooth frictionless…

A: Given: Bar AB, Hinge support at B in double shear, diameter of the pin at B = 3/4 in. Calculate the…

Q: A steel shaft with a circular opening on its centroidal axis is 2.54 meters long. It must carry a…

Q: Q1/ The below cross section is for a beam has a maximum applied moment of 50 kN.m and a maximum…

Q: The uniform beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm² and 18…

Q: Q2 The T section is shown in Figure below is the cross-section of a beam. The beam is subjected to a…

Q: 4Kips 10 KIPS 0.5 in.diam. 1in diam. lokips 8kips 0.75 in diam.

A: for First segment Dia = 0.5 in. Load = 4kips for Second segment Dia = 1in. Load = 14 kips…

Q: En O E2 9 Rosette shown E₁ What would be a shear strain in at the given point ? If €₁=25μ E₁ = 40μ…

Q: Determine the maximum vertical force P that can be applied to the bell crank so that the average…

A: Given Normal stress 175 MPaShear stress 75 MPaAngle 45Diameters 6 mm and 10 mmTo find out Maximum…

Q: roblem 2: Member AC is subjected to a vertical force P = 3000 N. This force is positioned as shown…

Q: Link BD is a 1-in. bar. wide and ½ in. of thickness. Knowing that each pin has a diameter of ⅜ in.,…

Q: Know that all = 25.5 ksi and Tall = 14.5 ksi. 20 kips B 10 ft 2 kips/ft -30 ft с 20 kips 10 ft D

Q: A force P of magnitude 1,100 N is applied to the pedal shown satisfies a shearing stress in the pin…

A: Applied force P = 1100 N Shear Stress in the pin = 42 MPa We have to determine the followings:…

Q: Note : Answer all the Questions Q/ The below cross section is for a beam has a maximum applied…

Q: The internal shear force V at a certain section of an aluminum beam is 11.4 kN. If the beam has the…

A: Using formula to find shear stress

Q: the figure, the circular section rod consisting of two separate sections is loaded from point B with…

A: Given data: Allowable torsional stress = 100 Mpa Modulus of rigidity = 80 Mpa

Q: Calculate the shear stress on a-a plane.

A: Following is the free body diagram:

Q: For the brum shown, a. write eas. and draw the shear force and bending moment diagrams. b traws…

A: Since loading is symmetrical about centre of the span hence RA = RB = (0.5 x 12 x 6)/2 = 18 KN…

Q: 9 MPa 7 MPa 5 MP 1. Draw the appropriate Mohr's circle. 2. Get from the circle oi and o2, umax and…

A: The given data is: σx=-7 MPaσy=9 MPaζxy=5 MPaCenter C=σx+σy2=1 MPaRadius R=σx+σy22+ζxy2…

Q: Consider the element in with Tay = 30 MPa. 80 MPa Part A Txy

Q: From the previous problem, determine the shear stress 30 mm above the neutral axis.

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

= 500 N.m, a positive moment
= 300 N anda positive shear force in
The shown section transmits a positive moment about z-axis M.
about y-axis My = 400 N.m, positive shear force in y-axis V,
z-axis V,
given that L = 60 mm.
= 200 N. Determine the normal stress at point D and the transverse shear stress at C
y
40 mm
D
6 mm
A
B.

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: BASIC DATA PROVIDED:

VIEW

STEP 2: DETERMINATION OF MOMENT OF INERTIA ABOUT "Z" AND "Y" AXIS:

VIEW

STEP 3: DETERMINATION OF NORMAL STRESS AT POINT "D":

VIEW

STEP 4: DETERMINATION OF TRANSVERSE SHEAR STRESS AT POINT "C":

VIEW

Trending now

This is a popular solution!

Step by step

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

Similar questions

Within few minutes
3. In the figure shown: a) Draw the Shear and Moment Diagram, and determine the maximum moment. b) Determine the Maximum Tensile and Maximum Compressive Flexural Stress developed. P1 27 kN P2 11 kN A 225 mm P2 3m 3m W
In the figure, the circular section rod consisting of two separate sections is loaded from point B with torsional moment M. Tallowable=100 MPa, G= 80 Mpa a) Calculate the torsional moment (Mb) that the section can safely bear. b) Draw the torsional moment diagram with respect to M calculated in (a). c) Draw the shear stress diagrams of AB, BC and CD intervals separately on the sections
Calculate the value of Q and t that are used in the shear formula for finding the shear stress at B. 0.2 m Neutral axis Q = y'A' 0.2m 10.2 m Q = A, + 2y,A2 A2 0.2 m yi = 0.3m yz = 0.1m %3D A = 0.2 x 0.6 m? Az= 0.2 x 0.2 m? 0,2 m 0.2 m 0.2 m 0.1 m
find the shear stress in neutral axis using the maximum shear force make P= 4p x 12= 48KN P= 5P x 12= 60KN W= 9kN/m M= 50 kN.m. note: dimensions are in mm
6. Z section) s) Calculate the axial stress in the x direction at corner A and corner D. (Point C is the centroid of the cross B= 20° M=10 kip.in 2 in. с 4 in. 3 in. 2 in. 3 in. Axial bending stress at A= Axial bending stress at D = ksi ksi
13. The velocity distribution over a plate is given by u= y-y in which u is the velocity in m/sec at a distance of y m above the plate. Determine the shear stress at y 0, 0.1 and 0.2 m. Take u = 6 poise. [Ans. 0.4, 0.028 and 0.159 N/m)
Q1. The solid shaft has a radius of 4 cm a. Find the state of stress at H. b. Draw the Mohr's circle for the state of stress at H. c. Find the principal stresses and orientation of principal planes, and the maximum shear stress and its orientation at H. P PL B= 8= AE V 2,₂ = 2/- (0₂+0₂) 2y = 7/7 - (0₂+0₂) Ex 6cm 8= 100 N Pdx √" (= AE V 4-7-7 (9₂ +9₂) == EE To AL 729 12 cm 10 cm My 50 N E uz 100 N 8cm 8cm 100 N 시구
Question ) Forces of F1=3 kN from point B in the z direction, F2=5 kN from point C in the z direction and F3=8 kN in the y direction are acting on the arm in the figure. The lengths of the arm are also given as L1=0.18 m and L2=0.17 m. It is desired to determine the stress state of point A on the a-a section taken from the arm. The radius r of the section is r=0.3 m and the shear modulus of the arm material is G=79 Gpa. According to this; Question 1-A) Find the shear stress due to the shear force at point A. (Write your result in MPa.Question 2-B) Find the shear stress due to the torsional moment at point A. (Write your result in MPa.Question 3-C) Find the total shear stress at point A. (Write your result in MPa)Question 4-D) Find the normal stress caused by the normal force at point A. (Write your result in MPa Question 5-E) Find the normal stress caused by the bending moment at point A. (Write your result in MPa.)Question 6-F) Find the total normal stress at point A. (Write your…
What is the average normal stress at segment AB. Crosssectional Area for AB= 50 mm^2 and BC=100 mm^2. P=10 kN. Length of segment AB= 150 mm and BC =150 mm). B AAB Авс LAB LBc O A. 0.10 MPa (Compression) O B. 100 MPa (Compression) O C. 0.2 MPa (Tension) O D. 200 MPa (Tension)
3. In the figure, compute the maximum force P that can be applied, if the shearing stress in the pin at B and the axial stress in the control rod at C are limited to 3200 psi and 4500 psi, respectively. The diameters are 0.2 inch for the pin, and 0.45 inch for the control rod. Assume double shear for the pin at B. в с 1.5 in 78 degrees T 6 in 2 in
A torque of magnitude T = 1000 N-m is applied at D as shown. Shaft AB and CD have an elliptical cross-section. The major and minor diameters of shaft AB are 56 mm and 50 mm respectively, while the major and minor diameters of shaft CD are 42 mm and 38 mm respectively. Find the maximum shearing stress in shaft CD. Answer must be in MPa