180 mm Y (mm) s0 -8 (mm) X-axls 250 mm

Q: 5. Determine ỹ, which locates the centroidal axis x' for the cross-sectional area of the T-beam, and…

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Q: Use the energy methods, virtual work or second theorem of Castigliano, to find the vertical…

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Q: By the moment-area method or conjugate-beam method, determine the deflection at the midspan (EIA)…

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Q: Find the measure of the angle (in degrees) made by the resultant of the concurrent forces with…

A: The given figure is shown below:

Q: 1) Determine the moment of inertia of the area about the x-axis. (I,) -100 mm 25 mm 75 mm 75 mm

A: Moment of intertia of given section about bottom X axis calculated as follow

Q: Determine the moment of inertia of the figure with respect to the horizontal centroidal axis. 06 6.2…

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Q: Determine the slope and displacement at C. El is constant. Use Conjugate Beam Method. Take E =…

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Q: Determine y̅, which locates the centroidal axis x' for the cross-sectional area of the T-beam, and…

A: It is required to determine the centroid (y’). Here, the web portion is taken as (1) and the flange…

Q: If a force of P = 30 N is applied to the handle of the lever, determine the largest couple moment M…

A: Given: The coefficient of static friction is 0.3. Force P is 30 N. Calculation: The figure is shown…

Q: For the figure shown, b Use, b= 9.1 in and R=3.7 in. Find the moment of inertia of the half-circle…

A: Moment of inertia for semicircle about its centroidal axis  in given figure : R=3.7 inb=9.1…

Q: 50 rpm 1000 mm 300 mm 3. Determine the centroidal moment of inertia about the X axis.

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Q: Q# 2: Determine the Moment of Inertia about x-axis (Ix) and y-axis (Iy) of the area shown in figure…

A: The moment of inertia can be computed by the relationship of the parallel axis theorem for single…

Q: Determine the moment of inertia of the area shown in the figure about the x- axis.

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Q: Use the unit load method (or Principle of Virtual Work) to determine the deflection dA in inches at…

A: EI = 28800 k-ft2

Q: By the moment-area method or conjugate-beam method, determine the deflection at the midspan (ElA)…

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Q: moment-area theorems and determine the displacement at C

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Q: 1. Use Castigliano's method to determine the rotation of joint C of the frame shown. -4 m- B 3 m 5 m…

A: As per castigliano theorem  To find slope at any point in structure applied psudo moment (M=0) at…

Q: Calculate the deflection at C. The beam has a constant El 150,000 kN.m. You can use the method of…

A: Consider the free body diagram of the given loaded cantilever beam as shown below. Flexural…

Q: Calculate the horizontal displacement of the tip.

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Q: | 80 kips B 120 kips 20' E -15' 15' 1S'

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Q: Determine the location of centroidal x and y and the moment of inertia Ix of the figure shown. Use…

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Q: Determine the maximum horizontal force P that can be applied to the 30-lb hoop without causing it to…

A: The free body diagram of the hoop is given below.

Q: 2. The cross section of a rectangular hollow beam is as shown in figure. Determine polar moment of…

A: Centroid of the whole  rectangular block including hollow part is at (40, 60) Centroid of the hollow…

Q: Determine the slope and deflection at point C of the beam shown. Use Area Moment Method. A. What is…

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Q: 2. Determine the slope and deflection of point A in the figure shown. EI is constant. Use Macaulay's…

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Q: Determine ỹ, which locates the centroidal axis x' for the cross-sectional area of the T-bar, and…

A: Calculating the area of the different segments with their centroids: Segment Area (mm2) y (mm)…

Q: Determine the centroidal moments of inertia and radii of gyration. Use R = 84 mm. R R/2 R/4 rad 120…

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Q: 7. The motion of a particle starting from rest is governed by the a-t curve shownY Sketch the v-t…

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Q: A 7.5-lb collar released from rest in the position shown, slides down the inclined rod, and…

A: Given data K= 60 lb/ft l= 27 inches w=7.5 lb

Q: Compute the deflection at C using  area moment method,  Assume EI to be constant, E = 200GPa, I =…

A: Given, Span of the Beam = 6m E= 200GPA I= 500×10^6 mm4 We need to Calculate Deflection at point…

Q: Determine the moment of inertia of the area under the parabola about the x-axis. Solve by using (a)…

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Q: Problem 2 Determine the horizontal displacement at A. Take E = 29 x 10 ksi. The moment of inertia of…

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Q: 7–3. Determine the slope at C, and the deflection at B of the bar in Prob. 7-2. Probs. 7-2/3 200 lb…

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Q: Use the Castigliano's theorem to determine the displacement of point C and slope of point D of the…

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Q: Determine the displacement at C and the slope at B. E = 200 GPa, I = 70 x 10^6 mm^4. Use Conjugate…

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Q: determine the deflection at C in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm…

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Q: The uniform rod of length 4b and mass m is bent into the shape shown. The diameter of the rod is…

A: For the given rod,

Q: Problem: In the figure shown, determine the value of P acting to the left tat is required to pull…

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Q: Determine the value of the deflection at C in mm. Answer in 2 decimals

A: Start the boundary at C:Transorm the Beam as shown:Moment equation:Mx=-2x22+2x-422Mx=-x2+x-42

Q: 5. Find the moments of inertia of the rectangular solid shown here with respect to its edges by…

A: Given:- The rectangular solid is shown with respect to its edges The dimension of the rectangle on…

Q: 10–6. Determine the moment of inertia of the area about the y axis. y = 2x 2 m -2 m

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Q: اسم الطالب: الشعبة Q1: Determine the magnitude of the vertical force P that must be applied at the…

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Q: Problem 2: Determine the horizontal displacement at A. Take E = 29 x 10° ksi. The moment of inertia…

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Q: 4 KN A 3m

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Q: determine the deflection at midspan of the beam in mm using any Geometric Method. Consider 250 mm x…

A: Given data:

Q: QI. The three concurrent forces acting on the screw eye produce a resultant force FR 0. If F2= 0.8…

A: Free body diagram -

Q: 50 rom T 1000 mm 300 mm 3. Determine the centroidal moment of inertia about the X axis.

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Q: 50KN 50KN (EI = constant) B A 4m 8m 2m 1) Calculate the deflection at “C" and the deflection angle…

A: Solution of Part 1 Using Moment area method

Q: 12. Determine the moment of Inertia of the quarter of the circle shown in the figure with respect to…

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Q: Determine the displacement and slope at point C of the cantilever beam. The moment of inertia of…

A: Referring to the virtual moment function indicated in fig a and b, the real moment functions  in…

Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.