Application of Influence Line: Draw for the influence line of the deflection at the free end of the cantilever beam 15ft long and solve for the corresponding deflection when subject to live loads of 2Kips/ft and 5Kips. The modulus of elasticity and moment of inertia are 29000ksi and 500 in^4, respectively. From the influence line drawn, express the deflection in inches, and round off the answer to 2 decimal places only.

Q: Consider the beam shown in (Figure 1). Suppose that F₁ = 4.2 k, F₂ = 8.4 k, F3 = 2.8 k, and F₁ = 5.6…

A: Given Data The force 1 acting on the beam is: F1=4.2 k The force 2 acting on the beam is: F2=8.4 k…

Q: Derive the expression for the maximum deflection of a simply supported beam of negligible weight…

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Q: QUESTION 4 There are 47 dowels - 10M, each measuring 910 mm, in a continuous concrete footing. What…

A: Given:Q 4: 47 dowels measuring 10 M10 M=0.785 kg/mlength of dowel=910 mm or 0.910 mQ 5: Length of a…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: The Flexor loading micrometer will be used to load the beam. Calculate the deflection equired to…

A: On substituting the  given values of 'L', 'E' in the given equation of deflection we get  y…

Q: Determine the horizontal deflection of the tip (uB) for the curved quarter-arc member shown. (a)…

A: (a)Consider an element dx with the section X-X as shown in the following figure.

Q: The magnitude of the vertical deflection of the free end is mm

A: Given data; as shown in figure horizontal cantilever beam of circular cross-section which data is…

Q: Calculate for the magnitude of the maximum bending moment on the beam shown, in kN-m. No need to…

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Q: A beam is supported and loaded as shown. In the section of the beam between 'A' and 'B', the…

A: For Bending Moment to be maximum:- dMdx=0 i.e., SF=0, BM may be maximum or minimum. Find location…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: The 3.2-kN force caused point C to deflect to the right. Using a alfa = 11.7*10–6/8C, determine…

A: Given: P = 3.2kN a = 11.7e-6 c considering E = 200Gpa , 18x 10 mm link as standard.

Q: For the simply supported beam shown in Fig. Q1. Determine: a) The equation of the elastic curve. b)…

A: Elastic curve is defined as the deflected curve of the beam when subjected to some load.load may be…

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: Q1: Draw the following readings, which represent the relationship between the mass and the rate of…

A: According to the question, L=length of beam=60cm b=breadth of beam=2.5cm d=depth of the beam=05cm…

Q: Determine (a) the equation of the slope and deflection of the elastic curve for the simply supported…

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Q: Write and draw the curve equation and determine the highest deflection. The material is gray cast…

A: Answer is given below

Q: Learning Goal: To determine the support reactions in a statically indeterminate beam using the…

A: Since the beam is indeterminate. Net deflection at point B would be zero. Now state all the unknown…

Q: Find the deflection y(x) where:The beam is embedded at x = L and a free end at x = 0. The applied…

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Q: beam

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Q: (a) A beam is to be fitted in a box of length of 2 m, width of 15 cm and height of 20 cm. Choose a…

A: Given: The dimension of the box are length of 2 m, width is 15 cm and height of 20 cm.

Q: Use the graphical method to construct the shear-force and bending-moment diagrams for the beam…

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Q: The magnitude of the vertical deflection of the free end is

A: Given data;  Figure shown having following data;Length,l=1.0 m Flexural regidity EI=200 N.m2 Applied…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: The cross-sectional area of a wide-flange l-beam has the dimensions shown. Obtain a close…

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Q: The simple beam shown supports the concentrated load P = 2000 N. Dimensions a and b are 1.2 m and…

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Q: Solve using integration and please show graph: A horizontal beam 10 ft long has a variable load,…

A: The expression of total shear force experienced by the beam is given by:- V=∫0Lωxdx where,ωx=load…

Q: Determine the value of Ely, a) under each concentrated load, and b) the maximum deflection in the…

A: The method which is used to determine slope and deflection of a beam under any kind of transverse…

Q: A beam made of steel with a diameter of 60 mm has a completely corrected endurance limit of 270 MPa,…

A: When the component is to designed for Infinite life, the endurance limit becomes the criterion of…

Q: Q1) Draw the sheering force and bending moment diagrams for fig1 2kN 20KN 10kN 1m 1m 1m FBD 10kN…

A: As per bartleby guidelines we are allowed to solve only 1st question if multiple questions are…

Q: Determine the slope and deflection at the free-end of a cantilever beam using different method. Use…

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Q: A rigid beam (light grey), 1.40 m in length and weighing 8.00 N, is supported at an angle of 30° to…

A: Draw the free-body diagram of the system.

Q: A simply-supported beam, 9 m in length, pin at A and roller at B,  is subjected to a uniform load of…

A: A simply-supported beam, 9 m in length, pin at A, and roller at B,  is subjected to a uniform load…

Q: The deflection angles of two intermediate points R and S on the curve measured from the tangent…

A: Given Data Chord Distance =20 m Long chord is =100 m a) Radius of the curve L=2RSin∆2100=2R1sin…

Q: A simply supported beam, having the following properties: 5.5 m length, Mcr = 30 kN-m, Ig =…

A: given; length(l)=5.5muniformly distributed dead load density(w1)=5KN/muniformly distributed live…

Q: Locate the position of the maximum deflection. Box your answer. What is the deflection at 2 meters…

A: Draw the free-body diagram with x-x axis.

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

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Q: Use the slope deflection method by using the graphical method to calculate deflections and draw…

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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: Instruction: Solve the following problems about deflections of beam using Double Integration Method.…

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Q: Question 20 of 20 For the beam shown, what is the value of the shear diagram at the middle of the…

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Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: Determine the maximum bending moment for the beam shown below. Use a = 9 ft, b = 13 ft, c = 7 ft,…

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Q: supports shear forces and bending moments of 2kN and 6.5 kN-m respectively. Based on this criterion,…

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Q: Problem 2 (30 points): The formula for the deflection of the beam shown is: y(x) = Wo (-x5 + 5Lx*-…

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Q: Determine the maximum flexural stress.

A: The width of the beam is, b=150 mm The depth of the beam is, d=250 mm The distributed load acting on…

Q: Determine the value of a in meters so that the deflection at point C is equal to the max deflection…

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Q: ) Show that the material index for the lightest cantilever beam of length L and square section (not…

A: For the Given situation  The function that needs to be performed = self loaded cantilever beam…

Q: The beam in (Figure 1) is made from three boards nailed together as shown. Part A If the moment…

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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.