2) The cross-sectional dimensions of a beam are shown in Figure 2. a) Determine the centroid location (mm) and the moment of inertia (mm") about the z axis. b) If the normal stress at point K is 36 MPa (C), determine the internal bending moment M, (in N- mm) acting about the z centroidal axis of the beam. c) Using the moment from part b), determine the normal stress at point H (in MPa). State whether the normal stress at H is tension or compression. [Ans. to Check: 59 MPa] 60 mm

2) The cross-sectional dimensions of a beam are shown in Figure 2. a) Determine the centroid location (mm) and the moment of inertia (mm") about the z axis. b) If the normal stress at point K is 36 MPa (C), determine the internal bending moment M, (in N- mm) acting about the z centroidal axis of the beam. c) Using the moment from part b), determine the normal stress at point H (in MPa). State whether the normal stress at H is tension or compression. [Ans. to Check: 59 MPa] 60 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

element in each case. Question 3. Determine the principal stresses, the maximum in plane shear stress, and average normal stress. Specify the orientation of the Question 4. The state of stress at a point in a member is shown on the plane AB. element. Determine the stress components acting on the inclined 200 MPa 500 MPa 40 MP1 350 MPa 65 MPa
3.2: Find the angle & in the case of stress shown in the figure.
Determine the magnitude of the shear stress (in units of MPa) when the state of stress is oriented 45 degrees from the element shown (aligned with line AB).
Problem Statement: A member having the dimensions shown is used to resist an internal bending moment of M=95kN*m (see attached picture). a.) Determine the maximum stress in the member if the moment is applied about the z axis (as shown in picture). b.) Determine the maximum stress in the member if the moment is applied about the y axis.
Principal stress: 01,2 Ox+0y tan20, = Txy 2 (Ox-0y)/2 2 maximum in-plane shear stress: Tmax *) : + Txy? tan20s -(0x-0y)/2 Ox+0y σανg Txy 2 The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work. 57 MPa 28 MPa 42 MPa
9. The initially square element of a material is deformed as shown. Determine the shear strain of the element and the normal strains of the diagonals AC and BD. Undeformed Deformed A B D 2.0 mm 2.015 mm C 1.995 mm
Q2) B) The steel rod having a diameter of 2Z mm is subjected to an internal moment of 4Y0 Nm as shown in Figure Q2(b). Take: Z =1 Y = 0 i) Determine the stress created at points A, B, and C. ii) Sketch a three-dimensional view of the stress distribution acting over the cross section. Note that moments of inertia for the circular area can be determined by I= (ar' )/ 4. y A B. M = 4Y0 Nm 45° Radius = 0.5(2Z) mm Figure Q2(b)
M #1 3 ksi M # 2 6 ksi 9 ksi E FOR THE ELEMENT SHOWN, DETERMINE THE MAXIMUM NORMAL STRESS AND SHOW IT ON A PROPERLY ORIENTED ELEMENT, AND DETERMINE THE MAXIMUM SHEAR STRESS AND SHOW IT ON A PROPERLY ORIENTED ELEMENT.
The stresses acting on element A in the web of a train rail are found to be ‘75 (MPa)’tension in the horizontal x-direction and ‘90 (MPa)’ compression in the verticaly-direction. Also, shear stresses of magnitude ‘40(MPa)’ act in the directions shown inthe figure.a) Draw Mohr’s circle for the state of stress.b) Determine the stresses (σx', σy' and τxy') acting on an element oriented at an angle‘D=-10 ˚’ from the horizontal. Show these stresses on a sketch of an elementoriented at this angle Note: If the angle D is positive, then the shear stress is in the direction shown onthe unit element figure; if it is a minus sign, then the shear stress is in theopposite direction shown on the unit element figure.
Transform the state of stress shown by rotating its orientation 50 degrees counterclockwise. What is the normal stress (in MPa) on the face which originally had the 125 MPa tensile stress (i.e. the left and right of the element). Make sure to enter a positive answer if it is in tension and a negative answer if it is in compression.
(Problems No. 1- 3) The state plane stress at a point is represented by the stress element below. Determine the stresses acting on an element oriented 30 degree counterclockwise respect to the original element. Calculate the normal stress at the x-axis 60 MPa 20 MPa 90 MPa O a. 75.25 MPa b. -39,8 MPa 69.8 MPa O d. -24.60 MPa
V= 31 X= 475 V/5 = 31/5 =6.2 %3D Y=155 V/10 = 3.1 2Y = 310 Z= 60 W = 25 %3D W4 = 6.25 lovtY = 10x31 + 155 =465 そ+W-60+25=85 YW= 31x25 = 775 %3D 1OZ = 10X 60 = 600