by the analytical method and Mohr’s circle Find εx' , εy' and γx'y' Find main directions θp and main values ε1 and ε2

Q: 1. Determine the slope and displacement of point C. El is constant. Use the method of virtual work.

A: Given Simply supported overhang beam and asked to find slope and displacement at point C using…

Q: Determine Delta-B and Teta-B using Double Integration Method and draw the Qualitative Deflected…

A: Force in the vertical direction -  For sum of the moment at the point A- From the equation 1,…

Q: Q1/ Find the slope of the line : 3x + 4y = 12. x+3= the slope is y=- m=--

A: Given: The equation of line is, 3x+4y=12 The slope of the line is to be determined.

Q: to o

A: Solution: Using the priciple of virtual work: For the displacement at point C:

Q: Clarification: "AP" indicates the coordinates of point A

A: To determine the central axis of the system of sliding vectors, let's break down the problem step by…

Q: Determine the slope at pe thod of virtual work.

A: degree of static indeterminacy = no. of unknown reactions - no. of equilibrium equations Ds = 2 -2 =…

Q: Consider the line y 6. = -- r Find the equation of the line that is parallel to this line and passes…

A: Slopes of parallel line are equal. The product of Slopes of perpendicular lines are equal to "-1"

Q: Let f(x, y) = x3 + y3 – 9xy + 27 , then (3,3) is saddle point. True False

A: We have, f(x,y)=x3+y3-9xy+27

Q: Compute the vertical displacement at joint G. the area of all bars A = 5 in?, and E = 29,000…

A: The virtual work method, also known as the virtual force method or the unit-load method, is a means…

Q: Determine the moments of inertia of the rectangular area about the x- and y-axes and find the polar…

A:

Q: When azimuth of AB direction (AB) = 43.287 and B = 137,5593 are given find the azimuth of (BC).…

A: Given Azimuth of AB = 43.287o Internal angle = 137.5593o   To find Azimuth of BC

Q: A 3m B√ 3.5m JD 3m 2.By using the Double Integration Method or DIM, Find the deflection at midspan.…

A:

Q: Using the method of virtual work, find the vertical displacment of Point D. E = Ksi 1 inz 29,000…

A: To find the vertical displacement at the point D in the given truss using the method of Virtual…

Q: SOLVE THE MIDSPAN DEFLECTION AND SLOPE AT THE LEFT SUPPORT USING DOUBLE INTEGRATION METHODS.  Show…

A: Given: Required: Midspan deflection and slope at left support

Q: A line passes through the point (9,-9) and has a slope of 3. Write an equation in slope-intercept…

A: Slope -intercept equation of line is y =mx +c Line has a slope of -3 then, y =-3 x + c Given that…

Q: 2 Using Double integration - Bracket functions, determine the slope and deflection at points and C

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Q: 50 N 25°

A:

Q: y P 4 12 5 Q 3.

A: Given Data- P=120N To Find- The magnitude of Q and magnitude of resultant.

Q: Draw the deflection curve

A: Given data in question  Beam Point load Internal hinge To find out  Draw deflection curve.

Q: Find the largest and smallest angle changes with their directions at point A, as the unit…

A: total X direction displacement of linesfor aa=+430×10-6 for BB=-260×10-6×cos60=-130×10-6for…

Q: 4) Solve the following armature using the virtual work method, taking into account A = 3.2 in2, E =…

A:

Q: 5 B) Find y" for the function y =x + Vx at p(1,3)

A:

Q: +y B A 20.0° 60.0° +x C The three displacement vectors in the drawing have magnitudes of A-4.75 m. B…

A: Step 1: Step 2: Step 3: Step 4:Step 5:Step 6:Step 7:

Q: Use the moment - area theorems to determine the slope and deflection at B. "El" is constant. 500 lb…

A:

Q: Determine the sum of the moments created by the forces shown in the accompanying figure about points…

A:

Q: Compute the angle of the resultant of the concurrent forces shown from the x-axis in degrees. P1 =…

A:

Q: Use the principle of virtual work. 300 N/m 3m 400 N

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Q: The bearing of line AB is N 70° W and the azimuth of line Ac is 245 °. Then, the internal angle BAC…

A: To find angle BAC?

Q: 1.2 For the same beam as in problem 1.1, (a) Find the largest value of x-displacement. (b) Find the…

A:

Q: SOLVE THE MIDSPAN DEFLECTION AND SLOPE AT THE LEFT SUPPORT USING CASTIGLIANO SECOND THEOREM METHOD.…

A: A simply supported beam with loadings as shown. A couple of 7w acting clockwise from the left…

Q: 3: Determine the displacement and the slop at point D. Use the principle of virtual work. El is…

A:

Q: 1. Determine the slope and displacement of point C. El is constant. Use the method of virtual work.…

A: Given data  E = 70 GPA = 7 × 104 N/mm2  I = 5 × 108 mm4

Q: The intersection of two sph always a circle. anhere

A: If two spheres have the same radius and intersect at a single point, their intersection will indeed…

Q: Determine the slope and displacement at the end C of the beam. El is constant. Use the Double…

A:

Q: Find dy by implicit diferentiation if sec(ry) = 6y. dx

A: sec(xy) = 6y..................(1) we will differentiate equation (1) with respect to x

Q: Determine the slope at Point D for the beam shown. EI is constant. Use Virtual Work or Castigliano's…

A: Option b   wL3/(192EI)  is correct

Q: What is the slope of the curve y = ((1-2x)^2)/x at (1,-1). * O -2 -3 3

A: To find:-  the slope of the curve y = ((1-2x)^2)/x

Q: If (r, θ) = (4, 7π/6) are polar coordinates of a point P, find the rectangular coordinates of P. a.…

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Q: Solve (D² – 3D+2) y 2e3z +4 sec (eª)

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Q: Use the conjugate beam method and determine the slope at B and deflection at B. EI is constant.

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Q: Q 10/Find all points the graph of f(x)=x³-6x²+9x+4 _at which the on tangent line is horizontal. Sol.…

A: Given, f(x)=x3-6x2+9x+4 To find the point on the graph where the tangent is parallel. We have to…

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.