A beam AB of span 6 m is simply supported at the ends A and B and is loaded as shown in figure. If E = 200 x 106 kN/m2 and I 90 x 10-6 mt, determine by using Macaulay's method, deflection at the mid- %3D span. 8 KN/m 000 -1 m 1m- 3 m

A beam AB of span 6 m is simply supported at the ends A and B and is loaded as shown in figure. If E = 200 x 106 kN/m2 and I 90 x 10-6 mt, determine by using Macaulay's method, deflection at the mid- %3D span. 8 KN/m 000 -1 m 1m- 3 m

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

See similar textbooks

Related questions

Q: An I-profile steel beam is supported and loaded as shown in the figure. If the mass of the block is…

A: E=200 GPa,I=17×106 mm4L=8 m or 8000 mmb=2000mmFor simply supported beam, deflection y is given…

Q: A cantilever beam ACB supports two concentrated loads P, and P2, as shown in the following figure.…

A: Draw a diagram for the problem. Here, x is the distance of the cross-section at which the bending…

Q: A simply supported overhanging beam ABC is subjected to linearly varying load between A and D and a…

A: Given data The value of load P is P=1.9 KN The value of load Q is Q=4.2 KN The reaction at A and B…

Q: For the beams loaded as shown in the figure, determine the following A Determine the reactions at…

Q: A 5 m long cantilever beam HEB160 is subjected to a load as shown in the figure. Determine the…

A: Step 1: Calculate reactions Step 2: Using double integration method, determine the moment equation…

Q: IV. Determine the maximum deflection of the of the following beams. 30k 12 ft 24 f = 1500 in*, E =…

A: Since you have asked multiple questions only the first question is solved for you. If you want any…

Q: I A m from end 4. Using Moment Area Theorems, obtain the angle of rotation 0 at point B antilever…

Q: The cantilever beam AB shown has a rigid bracket AC attached to its free end. Find the ratio a/L…

Q: time a double-acting hydraulic cylinder extends and retracts through an 8-in. stroke cycle, a large…

Q: Q4: Determine the maximum deflection and its location of the simply supported beam shown in the…

Q: A cantilever beam carries a varying load as shown in the figure. If E=200,000 Mpa and =120x106 mm4…

Q: A simply supported wood beam of length L = 8 ft carries a concentrated load Pat midspan, as shown.…

Q: 8 em cm 1 cm 8icm 1 m 2m 1m Prob. 11.9

Q: A fixed-end beam AB supports a uniformload of intensity q = 75 lb/ft acting over part of thespan.…

A: given; load intensity(q)=75lb/ftEI=300kip-ft2lets take reaction force at A =RAlets take reaction…

Q: A steel cantilkuer projecting from a unitormly distributed of 20 KN/m. Yun. Find the slope and…

A: For solution refer below images.

Q: A: 56m 47Nm Determine the maximum deflection and maximum slope of the simply supported beam of…

Q: Q4: Determine the maximum deflection and its location of the simply supported beam shown in the…

A: Given data E = 200 GPa I = 65 × 10^6 mm^4 Find the maximum defloration and its location.

Q: Asteel from a <antilever meters projecting 1oaded with wall is uniformly distributed of 20 KN /m.…

A: Cantilever beam is a type of beam in which one end is fixed and other end is free. When any beam is…

Q: a concentrated load p= 45200 N is applied at the of a fixed beam of length 1.54m depth 112mm width…

A: Given, p =45200N, Length = 1.54m, depth =112mm, width=96 mm and E=182775 N/mm2. We have to find…

Q: Q/ For the beam shown in the figure below, find deflection and rotation at point B. EI=12000 kN.m2.…

Q: L = 4 P=4 Solve the following beam structure using the direct stiffness method to obtain the B.M.D P…

A: Let be F be the spring force in upward direction.

Q: Figure 1 shows a cantilever beam which is 6 m long and fixed at A. The beam carries a uniformly…

A: Conjugate Beam Method: One of the ways for determining the slope and deflection of a beam is the…

Q: Determine the value of the maximum deflection for the given sets of loading of the beam as shown in…

A: RA and RE are the support reaction RA +RE =14+16 =30 moment about point A, 14*1 +10 +16*6 = RE*7 RE…

Q: Determine the deflection at point C of the beam shown in by the moment-area method.

A: Draw a diagram for the problem showing the support reactions. Here, RA and RB are the reactions at…

Q: Problem 9: Find the Slope and deflection at B and C for a cantilever beam of L subjected to a load…

Q: 5. For the frame shown in the figure, determine the slope at A DA using Castigliano's Theorem. E =…

A: Given:Find:The slope at A

Q: A 30 kN/m 2.4 m C 50 kN 1.2 m D 1.2 m B Q4. Determine the deflection and slope at point C by using…

A: For solution please refer below images.

Q: A cantilever beam of length L = 70 in is made from two side-by-side structural-steel channels of…

A: The weight of the beam is The uniformly distributed load is The force applied at point A is .The…

Q: Use the conjugate beam method to determine the magnitude of the deflection at C (in feet). Assume A…

A: The values are P=20 kips, w=1.8 kips/ft. EI=78750 k-in2

Q: Use the conjugate-beam method to determine the slope and deflection at point B of the beams 7. 80 LN

Q: A For the RIGID beam shown, find the :deflection at point B 50 kN B C 2m 3m ID 3m No deflection O…

Q: For the shown beam-column, derive and solve the differential equation of the deflection curve.…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

100%

A beam AB of span 6 m is simply supported at the
ends A and B and is loaded as shown in figure. If E
200 x 106 kN/m2 and I 90 x 10-6 mt, determine
by using Macaulay's method, deflection at the mid-
%3D
span.
8 kN/m
C
D
B
000
1m 1 m
3 m

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 3

VIEW

Step by step

Solved in 3 steps with 1 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 simply supported beam is loaded with apoint load, as shown in the figure. The beam is a steelwide flange shape (W 12 X 35) in strong axis bending. Calculate the maximum deflection of the beam andthe rotation at joint A if L =10 ft, a = 7 ft, b = 3 ft,and P = 10 kips. Neglect the weight of the beam.
h F The beam of length 5.9 (m) and cross section base 0.10 (m) and height 0.16 (m) shown is made of plain steel with a modulus of elasticity of 200 (Gpa) and an ultimate strength of 400 (Mpa). The load is 250 (N) and the point q is 4.0 (m) from the wall in the x direction. What is the magnitude of vertical deflection of the beam at point q in units of meters?
Find the deflection at the mid-point BC of the loaded beam as shown in the figure by the double integration method. ( E= 200GPA I=6,87x10^-6 m^4)
None
A cantilever beam ACB supports two concentratedloads P1 and P2, as shown in the figure. Determinethe deflections δC and δB at points C and B,respectively. (Obtain the solution by using the modifiedform of Castigliano’s theorem.)
A beam, which is fixed at one end, is acted upon by a distributed load (the curve is a continuous cubic curve) as shown in the figure. Calculate the reactions at the support. Include proper signs (with right, up and counterclockwise assumed to be positive for X, Y and the moment) 300 N/m y = kx3 %3D 300 N/m 4 m 3 m Ry (in N) = ? R,(in N) = ? M* (in N) =?
5. (Bonus problem) Analyze the following frame using slope-deflection method. First indicate the degrees of freedom. Find reactions and finally, draw the shear and moment diagrams. EI is constant and the beam and column are axially rigid D E F 8 ft |2 Kips/ft A В C 8 ft 8 ft
A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10 m/m/°C. Wrong solution will be reported instantly
Q.1) For the figure shown, have the following information: (2) Link (1) made Link (2) made of aluminum E =70 GPa A 300 mm2 Calculate the deflection of the beam at point B, when a load P = 55 kN is applied. 4,000 mm of aluminum 2.500 mm E -70 GPa A = 450 mm? 1.400 mMm S00 mm
Compound beam ABC is loaded by pointload P 51.5 kips at distance 2a/3 from point A anda triangularly distributed load on segment BC withpeak intensity q0 = 0.5 kips/ft. If length a = 5 ft andlength b = 10 ft, find the deflection at B and rotationat A. Assume that E = 29,000 ksi and I = 53.8 in4.
Please don't provide handwritten solution ...