Figure 4 shows two solid cylindrical rods and joined at B. The rod ABC is made of an aluminum for which E = 70 GPa. Knowing that P = 6 kN and Q = 42 kN, determine the deflection of; a) Point A b) Point B

Q: aZ For Beam loading shown in Fig. Determine the reactions at points A 200 N 200 N 2000 N 730 1m-1m…

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Q: A bar with 300 mm long between supports carry a weight of 1200 N, as shown. Evaluate the deflection…

A: Consider the free body diagram of the beam as shown below. From the symmetry of the beam,

Q: Determine the vertical deflection of point A on the bent cantilever shown in figure below when…

A: Using castiglianos theorem  Deflection at point A =δUδP Where P = external force = 25 N…

Q: : Determine the deflection of D with respect to A of the rod shown. Note: Section AC is steel and…

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Q: In the figure shown, each of the four vertical links connecting the two rigid horizontal members is…

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Q: A simply supported beam having constant EI throughout its geometry is loaded with 3P and P at point…

A: When a beam is subjected to a load, it will face reaction forces at the support and it tends to…

Q: (Problem 2.126 from the text book) Two solid cylindrical rods are joined at B and loaded as shown.…

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Q: An axial member consisting of two polymer bars is supported at C as shown. Bar (1) has a…

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Q: Question 4: Use the moment-area method to determine the slope and deflection at point B for the…

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Q: Question Two For the shown simply supported beam, a deflection of 1.5 mm is developed in the beam at…

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Q: E = 250 GPa and I = 65.0(106) mm . (Figure 1) Part A Determine the slope of end A of the…

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Q: A cantilever beam is subjected to loading as shown where w = 2.8 kN/m, P = 9.4 kN, LAB = 2.3 m and…

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Q: Aluminum beam AB (E=10x106 psi) is simply supported as shown. Magnesium rod CD (a = 14.5 x 106…

A: Given That EAl=10×106psiEMg=6.5×106psiA=1in2l=12''△T=100°α=14.5×10-6in/in/°F

Q: Using Castigliano’s theorem, determine horizontal and vertical components of deflection at point C.…

A: Given dataP=1000NEA=2×106N

Q: A force tangent to 1.75 feet diameter pulley is 5200 N and is mounted on a 2 inches shaft. Determine…

A: NOTE: The value of modulus of rigidity should be G=83×106 kPa. Given: The tangent force on the…

Q: Question 2 A beam ABCD, 6 m long, is simply-supported at the right-hand end D and at a point B1 m…

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Q: Chapter 4: 5. Prove that deflection (8) for a axially loaded member under general Force, P(x) and…

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Q: Built-in rod material property with given dimension dimensions: (It is assumed that the yield…

A: Given,  load on the bar   , P =300 daN  modulus of elasticity , E  =22 *105 daN/cm2  dimensions ,…

Q: 2. Determine the followings using any method i) Elastic curve equation ii) Deflection at B iii)…

A: given; lets take reaction force at A=RAlets take reaction force at B=RBAC=aCD=L-2aDB=aAB=L

Q: Before the load P was applied, a gap, ôo existed between the cantilever beam AC and the support at…

A: Given: The load is applied is P. The modulus of elasticity is E=200 GPa. The deflection at point B…

Q: Problem No. 1 Determine the reactions for the beam shown in Figure below, 1300 N 1800 N 1460 N/m…

A: Given Data⇒ Beam

Q: Assume that El is constant for the beam. Let w = 9 kN/m, L = 5.0 m, E = 190 GPa, and I = 105 x 10°…

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Q: A beam simply supported at the ends of a 25-ft span carries a uniformly distributed load of 1000…

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Q: A bar obtained by bonding together pieces of steel (E, = 200 GPa) and brass (E, = 103.4 GPa) has the…

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Q: a- 6.1 m, b - 4.1 m, c = 14.1 kN/m, d = 24 kN. d kN d kN c kN/m BA

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Q: Q4/ For the beam shown in Fig.4, using Knowing that E = 200 GPa. 10KN/m 100mn, 25 kN.m[ 5KN/m the…

A: given data; E=200GPa   =200*103MPa lets take reaction force at A=RA lets take reaction force at D=RD…

Q: À square column with a length of 6 m and fixed end at D is used to support the beam AB as shown in…

A: Given Data  W=5 KN/m Length of AL-rod(L)=3m Diameter of Al rod, d=0.05 m or 50 mm σAl=12 MPA…

Q: A solid circular steel rod 6 mm in diameter and 500 mm long is rigidly fastened to the end of…

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Q: (c) A steel rod of 30 mm diameter is 2.8 m long. (i) Find the maximum stress and work done at…

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Q: Using Castigliano's theorem, derive an expression of the bending deflection at point B. A |C |B L/2…

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Q: ind the deflection at D relative to point A of the copper bar. Assume the material behaves…

A: Given:E=15*103ksi

Q: Can the deflection or slope at a point on a member subjected to combinations of loadings be…

A: The superposition method is used to simplify the complex problem by breaking it into simpler parts.…

Q: For a concrete column that is part of a braced frame, if the column is square, tied, 18 inches per…

A: Write the given data with suitable variables: a=18 in=1.5 ft12 in 1 ftL=16 ftK=1

Q: A simply supported hollow cylinder beam is subjected to a uniform load w of 2700 N/m, and an inner…

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Q: Find the length of the part 1 and 2 of the steel bar if the total deflection under the forces shown…

A: Given data, δT = Total deflection = 0.5 cm = 0.005 m E = Modulus of rigidity of the bar = 200 x109…

Q: 3. A rigid bar AB is hinged at A and is supported by a rod CD and C. The rod is pin connected at D,…

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Q: 2. Determine deflection at B. [E= 200 GPa, l= 129 x 10 mm, L= 4m, P = 60 kN, w = 40 kN/m]

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Q: The angle of rotation at the maximum deflection is: a. 0.5 b. 0 c. 2 d. 1

A: It is required to choose correct answer

Q: 300 kN 330 kN 30 mm 15 mm 20 mm 80 kN C + 150 mm 200 mm- - 250 mm-

A: Elongation of a bar can be calculated by, δ=PLAE Here, P is the force in the member, L is the length…

Q: The beam shown is made from 6 × 6 × 1/4 inch rectangular steel structural tubing. If load P = 650 lb…

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Q: A concentrated load Q= 94.18N is applied to the rigid cantilever frame as shown in fig. The vertical…

A: Given, Concentrated load, Q=94.18 N EI=3×108 N.m2

Q: A 5º curve intersects a property line CD at point O. The back tangent intersects the property line…

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Q: 2. Below is the illustration of an overhanging beam. Determine the following: a. The deflection at…

A: Beams are structural parts used to bear loads. An overhanging beam is one in which the terminal…

Q: Qq Determine the deflection at point C for the beam shown in Figure 1. Use E= 1.2 MN.m². 15 kN 12…

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Q: Aluminum beam AB (E=10x106 psi) is fixed to a wall at point A as shown. Magnesium rod CD (a = 14.5 x…

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Q: a. Determine stress of e steel spriings as shown. b. Determine also the deflection the deflections…

A: Solution: Given Data: m=10 kgn1=25n2=20d1=20 mmd2=25 mmD1=150 mmD2=200 mm   Note: Shear modulus for…

Q: A beam ABCD, 6 m long, is simply-supported at the right-hand end D and at a point B 1 m from the…

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Q: Determine the deflection of D (in inches) with respect to A of the rod shown. Note: Section AC is…

A: Given data: EAC=29×106 psiECD=14.6×106 psi Need to determine the deflection of D with respect to A.

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.