8.22 The plane region is bounded by a semicircle of radius R and a parabola of height h. Determine the relationship between R and h for which the centroid of the region is at C. Use the method of composite areas. Parabola Fig. P8.22 R h x

8.22 The plane region is bounded by a semicircle of radius R and a parabola of height h. Determine the relationship between R and h for which the centroid of the region is at C. Use the method of composite areas. Parabola Fig. P8.22 R h x

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: An open tank contains a liquid with a specific gravity of 1.735. If the height of the liquid is 9…

A: From Given Data : For an open tank: Specific gravity of liquid (SG) = 1.735 Height of the liquid…

Q: A steel specimen of 12 mm diameter extends by 6.31 x 10-2 mm over a gauge length of 150 mm when…

Q: 6200 N 4.5 m 2 m 1.5 m 4.5 m E b.) Determine the forces in members AB, BD and DE by the Method of…

Q: P2. A beam ABC, fixed at A and roller supported at C is internally connected by a pin at B.…

Q: The weight of a body as measured while completely immersed in water was found to be 250 N and in a…

A: Weight of body in water = 250 N Weight of body in salt water = 245 N

Q: . The PCA design methodology for airfield rigid pavements is based on the interior bending stress at…

A: We have find out wheither the given statment are true or false.

Q: 1. During the AASHO road test, ONLY flexible pavements were constructed and tested. a. True b. False…

A: To determine: The true and false statement.

Q: Problem-3 b A hollow shaft of 20 mm diameter and 16 mm inside diameter is subjected to a torque of…

A: Given- Outside diameter D=20 mm, Inside diameter d=16 mm, Torque T=40 N-m, It is needed to find the…

Q: Determine the density of metallic body which floats at the interface of mercury of sp.gr 13.6 and…

A: Given Data Specific gravity of mercury = 13.6 Volume of body submerged in mercury= 0.4 V Volume…

Q: For the diagram shown below find the reactions at each support

A: Given Data Find the support reaction

Q: 1- Due to the moving loads, determine maximum moment at C.

A: We have to detemine the maximum moment at point c. So we have,

Q: QUESTION 16 The instrument is sitting at D and backsighting E. The direction from D to E is 560…

Q: Compute the pressure heat a m, in feet of fluid A, indicated by open manometer in figure below when;…

A: Given SGoil=0.895SGcarbon=1.95SGgauge=1.50

Q: Laboratory results on a soil have shown that its unconfined compressive strength is 1.2 kg/cm2. In a…

A: Given,Uncomfined compressive strength,qu=1.2 kg/cm2Chamber pressure,σ3=0.4 kg/cm2Additional stress,…

Q: The deflection angles of two intermediate points A and B of a highway curve are given below. The…

A: Highway Curve: Highway curve is the curve which is formed by connecting two straight lines on a…

Q: Q4. A flownet for flow of a dam shown bellow, find the total flow in m³/day if the length of the dam…

A: X = 1.6 m Y = 2.8 m Length = 1200 m

Q: na pond at a depth of 5m air bubble m. Calculate gauge pressure inside air bu on = 0.075N/m.

Q: EXAMPLE 4: A 20-mile section of the Cavite Coastal Road had the following reported accidents…

Q: Draw the shear and bending-moment diagrams for the beam and loading shown, and determine the maximum…

A: To determine: a) Determine the absolute value of shear. b) Determine the absolute value of bending.…

Q: The frame shown in Figure is supported by a hinge at E and a roller at D. Compute the horizontal and…

A: Free Body Diagram is that in which there is graphical representation of the moments and applied…

Q: Draw the influence lines for the bar forces in members AB, BK, BC, and LK if the live load is…

Q: the bearing of line AB is N 75° E, and the azimuth of line BC from north meridian is 98°. If the…

A: Given that bearing of line AB is N 75° E

Q: 15.56 Find the reactions for Prob. 15.54 if P = 80 kN, w = 32 kN/m, a = 3 m, and b = 1m.

Q: For the design of the band brake shown, find the couple M required to turn the pipe in the V-block…

Q: 13. Refer to Figure 3.1 attached. In the flexible pavement design example illustrated in the figure,…

A: Given: Estimated total 18 kips equivalent single axle load application, W18 = 2,000,000 To find: The…

Q: Some students were performing a hydraulic jump experiment using a wide channel during their…

A: Y1=0.6m Y2=3m To find the velocities and Froude numbers before and after the jump the energy…

Q: A leaf spring of semi-elliptical type has 11 plates each 9 cm wide and 1.5 cm thick. The length of…

Q: The linkage is made using two A992 steel rods, each having a circular cross section. If each rod has…

A: A ) Diameter = 0.85 inches A problem of Structural Analysis. We are asked to determine the…

Q: In a vertical curve, an upgrade of 2.0% is followed by a downgrade of 2.0%. The rate of change of…

Q: Problem 2. A [6 +2c] KN 2 m NOTE: If t B 4 m [12 + 3d] kN/m C e largest nonzero digit in your…

A: Given data, C = 8 D = 4 Length of beam

Q: A cantilever beam, 4m long, carries a uniformly distributed load our total length. If the slope at…

Q: The ratio of frictional loss due to curvature effect to that of wobble effect if jacking is done…

A: Given- Jacking is done from both ends, Poisson's ratio μ = 0.3, k = 0.003/m, It is needed to find…

Q: For an aircraft to take off from Sydney. airport, the required length of runway at sea level in…

Q: (12+N)KN 24 m (8+N)KN B 10 m

Q: cantilever retaining wall shown, if the F.O.S. (Overturning)= F.O.S. (Sliding), vidth B value of Ø…

Q: A conical funnel has radius 4 cm and height 8 cm. A liquid is draining from the funnel at a constant…

Q: 1. Determine the force in each member of the truss shown In Figure 1. Use method of Joints. State…

Q: PART 1. Determine the reactions at supports. Also, draw the shear and moment diagram. Problem 1. [15…

Q: If staff readings taken on B and C by a tacheometer placed at A are Staff Distance (m) Stadia…

Q: Determine the moments of inertia I, and I of the area shown about vertical and horizontal axes…

Q: A 2 m diameter barrel 180 cm long is submerged 5m below the water surface as shown in the figure. If…

A: Given: h=180cm=1.8m, m=1600kgs, d=2m r=1m

Q: Write the V and M equation of the beams loaded as shown and the diagram. Then repeat the method…

A: Given: A determinate continuous beam Required: Sheat and moment equation and also use area method…

Q: 2. Determine the force in each member of the truss shown in Figure 2. Use method of Joints. State…

Q: Q2. A 40 mm diameter jet has a velocity of 25 m/s. Calculate the resultant force on a large flat…

Q: Write the V and M equation of the beams loaded as shown and the diagram. Then repeat the method…

A: Problem: To find: Shear and moment equation and the diagram

Q: 22. In the PCA design procedure of rigid highway pavements, the fatigue damage is calculated at the…

A: Explanation: The fatigue failure method is one of the two methods used for PCA design procedure of…

Q: CAT 1 - Take away 1. A horizontal boiler of 3 metres diameter and 15 metres long contains water to a…

A: Orifice: The orifice is a small opening to the cylinder or a tank through which the fluid or liquid…

Q: Please need good explanation please these parts well explanation thanks a) With the context of…

A: a) With the context of town planning describe the importance of: 1. Natural resources- Planning for…

Q: If the radius of a circular curve is 176.25 feet and one full station is 200 feet, what is its…

A: To determine: The value degree of curvature. Given Data: Radius of circular curve=176.25 feet One…

Q: For a broad gauge railway track on a horizontal curve of radius R (in m), find the equilibrium cant…

Question

100%

ENGINEERING MECHANICS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. NO LNG EXPLANATION. ANSWER IN 2 DECIMAL PLACES.)

8.22 (Ans: h = √5R/2)

8.22 The plane region is bounded by a semicircle of radius R and a parabola
of height h. Determine the relationship between R and h for which the centroid
of the region is at C. Use the method of composite areas.
Parabola
Fig. P8.22
R
X

Branch of science that deals with the stationary and moving bodies under the influence of forces.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

A steel beam is subjected to a uniform load with length of 8m. Assume that the beam is simply supported. Use Fy= 248 Mpa. Properties of W-shape beam d=229 mm bf=210 mm rf=23.7 mm Tu-14.50 mm kdes=33. 80mm ry=53.80 mm Ix=113 x 10^6 mm^4 Iy-36.9 x 10^6 mm^4 Sx-990 x 10^3 mm^3 Zx 1150 x 10^3 mm^3 J-2100 x 10^3 mm^4 Cu-387 x 10^9 mm^6 What is the nominal shear strength capacity of the section (in kN)?
Compute the deformation of the beam using area method:E= 200 GPa I= 1000 x 106 mm4
The thin rectangular plate is subjected to the four forces shown. Determine the equivalent force-couple system at O. Is R perpendicular to Mo? 270 N 0.40 m 1.24 m y 270 N 270 N 29° 270 N Answer: Force-couple system R= ( i+ 130.899 j+ i -236.147 k) N Mo = ( i 506.147 i+ i j+ i k) N-m
Beam AB has a modulus of elasticity of E= 30 x 106 psi and Poisson's ratio of 0.30. Disregarding the weight of the beam Calculate the change (Ab; in inches) in the width of the top of the beam at the midpoint of the span. 12 in.- B4.JPG = 8k 24 in. =8k 12 in. B Q in. ----2in. » Q
Guide: W = 447 Z = 587 Y = 176 X = 388 "W" "Y" "Y"* "X" all dimensions are in mm "Y" " a. Determine the location of the centroid from the bottom of the beam. b. Determine the location of the centroid from the leftmost part of the beam. c. Determine Ix. d. Determine ly.
Virtual Work for Beams and Frames #2 Determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70(10°) mmª. P = Last 2 digits of ID number a = 5th digit of ID number (max value = 3) P Use %3D 4 kN ID # = 18-2363-391 P = 91 a = 6, but use 3 (max) e.g., A C |D B- a - 3 m -3 m
USE FORCE METHOD. What is the force member AC in the given truss? AE is constant. (kN) Vertical bars=3m, Horizontal bars=4m B Zoom image 10.3 A 7 kN
Determine the force in member CG. The force is positive if in tension, negative if in compression. Assume F1 = 12 kips, F2 = 9 kips, F3 = 12 kips. %3D н 10° G 10' F 10' E 10' A B F, F, F, Answer: CG = i kips %3D
From the beam shown, fc' = 28 MPa, fy = 414 MPa, βh = 1.20, Cc = 40 mm. Take D = 25 mm diameter size. a) Determine the value of maximum spacing
Solve members BF and EF using method of sections.
considering the bottom of the channel as the reference line, locate the centroid of the composite structural area. solve the moment of Inertia with respect to its X-axis. or Ix solve the moment of Inertia with respect to its Y-axis. or IY
Problem 1: The rigid bar ABC is supported by AD and BE. Determine: a. Inclination of member ABC after loading b. 6 at point E Members Properties: Member Materials Modulus Cross- of sectional Elasticity 70GPA Area AD Aluminum 450mm2 BE Steel 200GPa 550mm2 45KN 04n