Question 2Derive the following formula for the distance e from the centreline of the wall to the(2 1)shear center S for the hat section of constant thickness shown in Figure Q23bh2 (b+2a)-8ba3e =h2(h+6b+6a)+4a2(2a+3h)0)Check the formula for the special case of channel section (a(2 2)312CebFigure Q2 Hat-section wallroN.

Answered: Image /qna-images/answer/df82469e-0366-44b4-a8cd-4e5ce57c30c9.jpg

Answered: Question 2 Derive the following formula…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An embankment is to be constructed by making use of sandy clay having the following properties: c' = 35 kN/m2, o' = 25° and y= 19.5 kN/m3. The height of the embankment is 20 m with a slope of 30° with the horizontal as shown in below figure. Estimate the factor of safety by the method of slices for the trial circle shown in the figure. 35 25 m- e- 35 ENm 20 m O'= 25° 25 y= 19.5 kN/m 30
Q#3. Draw Shear Force and Bending Moment Diagram Graphically for the following Вeam. P=20KN q=5kN/m A, 5m 5m 4m
w=25kN/m a=1m b=5m P=70kN
A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 180 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 52 mm and the origin of the coordinate system is at centroid of the cross section. A 0 4a Figure Q2 3a
Q5
For a uniformly loaded span of a cantilever beam attached to a wall at x = 0 with the free end at x = L, the formula for the vertical displacement from y = 0 under the loaded condition with y the coordinate in the direction opposite that of the load can be written as follows: Y= -(X4 – 4X³ + 6X²) where Y is the vertical displacement, X = x/L, and L is the length of the beam. The formula was put into dimensionless form to answer the following question: What is the shape of the deflection curve when the beam is in its loaded condition and how does it compare with its unloaded perfectly horizontal orientation? The answer is provided graphically in Figure Q4. Figure Q4 shows the vertical deflection of a uniformly loaded cantilever beam and its comparison with the unloaded perfectly horizontal orientation. Write a script to get the same figure as Figure Q4 by solving the following question. 1 · Unloaded cantilever beam 0.5 Uniformly loaded beam -0.5 -1E > -1.5 -2- -2.5 -3 -3.5 0.5 1 1.5…
In the figure, the bending stress equal, if the moment inertia 5m ^ 4 and the perpendicular distance is 3m.
Find the shear force and bending moment at points C and D. 500 lb 200 lb A Answer: Vc = -386 lbf Mc = -857 lbf.ft VD = 300 lbf Mp = -600 lbf.ft C² 6 ft4 ft 4 ft B 6 ft D 300 lb 2 ft E
Analyze the simply supported beam shown in figure-6, by drawing its Shear Force and Bending Moment Diagram. (CLO-2) 50 N 150 N.m 2m Rp 4 m 2 m RA Figure - 6
Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3 L/3 Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 30OON/m instead. Take L = the third digit of your student number, reading left to reight. If this value is zero then take L = 2 Assume: The reaction at the Pin = Vnin 47000L+9PL )N %3D 54 The reaction at the Roller = Vroller = 61000L+9PL 54 N and that both reactions act vertically upwards. a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams. b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum. c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams. d) What is the maximum magnitude of the internal moment for Section 2? Mark sure you prove that the value you calculate is the maximum. e) Find an…
The beam dimensions in Figure 1 are a = 4in, d = 7.5in, l = 10in, b = 0.1in, h = 1in, and r = 0.167 in. The material is steel (E = 30 ×106 psi). The supporting wall is much stiffer than the beam. At the notch, the stress concentration factor is K = 1.56. F = 50 lbf A) Find the normal stress values at point D and the notch B) Find the Von mises stress for the entire beam
The bending moment in a horizontally placed beam at distance x from one of the ends is given by the expression M = 13x - 3x - 12 . The shear force in the beam is zero at, O a. x = 7.12 O b.x = 3 and x = 1.33 O C. X = 2.16 O d. Need more data and a figure to solve the problem.

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