Determine the magnitude of the projected component r₁ along r₂ and the projection r₂ along r₁. 7₁ = 9m 30% 40° 8 60° 120° 45° 72=6m y

Q: The moment of inertia of the profile shown below, in relation to the x axis, is valid:

A: Solution- First we have to calculate centroid axis in horizontal direction. Moment of individual…

Q: 10 Kips 10 Kips.ft A C D E.

A:

Q: Given that F1 (s) = and F2(s) = , find the inverse Laplace transform of F(s) = F1(s) × F2(s). %3D O…

A:

Q: Question 2: Determine the horizontal displacement of point C. El is constant. Using the method of…

A: The length of the member AB(LAB)=10 ft, The load on the member AB(PAB)=400 lb/ft, The length of the…

Q: 19m X₁ = 22.79 50 10m X2=87.21 KN Im LOWEST POINT 10m IP M KEM 金 -24m

A: A)VA = VB = WL/2 = 50×60/2 = 1500 KN=> Maximum tension and minimum tension at a distance of 10 m…

Q: The steel composite section consists of a 600x20 mm thick steel plate which is placed on the top…

A:

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

A:

Q: Using Mohr’s circle, determine for the area indicated the orientation of the principal centroidal…

A: Given,

Q: (c) 10 kN/m v? 8? I 1 8? 5m 31 20 kN/m

A: Area moment method is most effective  method to calculate slope and defection of beam. In this…

Q: From the figure shown below: -100 mm-100 mm---150 mm - 150 mm 150 mm 75 mm 1. Determine the distance…

A: The given figure is shown below:

Q: a1/ In the shown triangle below, length of line AB =160m, Find the length of lines AC and BC? Note…

A:

Q: Find the center of mass of a thin tri- angular plate bounded by the y-axis and the lines y = x and y…

A: A triangular distribution of mass with variable density over the entire area.  To find : The center…

Q: Find ex, ey and y. NOTE: ex and ey in mm/mm and y in radians

A: Strain in x and y directions should be calculated and the shear strain should also be calculated.

Q: 3) Use Castigliano’s Second Theorem to find the horizontal displacement of point C in the frame…

A: Draw FBD: Supposing an imaginary moment at point D:

Q: 50 N 25°

A:

Q: Compute the flexural stress (MPa) in the steel for the beam shown using transformed-area method.…

A: Given : Area of one bar of 36 mm in tension zone = 1006 mm2Numbers of bars in tension zone = 4Total…

Q: A circle of 150 mm diameter is incribed on a steel plate before it is stressed and then the plate is…

A:

Q: 14. The moment of inertia about x-axis for rectangular area A = (20 x 10) in2 is: %3D

A: Option 2 is correct

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: Find the moment inertia of the area shown in figures about the centroidal axes. 30 cm 40 cm 15 cm…

A: solution Since you have asked multiple question, we will solve the first question for you. If you…

Q: 8.48 By integration, determine the x- and y-centroidal coordinates for the volume shown. - z = h –…

A:

Q: 11 The reference angle of 7 Find an angle with 0° < 0 < 360° that has the same: Sine as 40°: 0 =…

A:

Q: 10. Determine the value of the minimum moment of inertia (I min), using the Mohr's Circle, given the…

A:

Q: A solid metal bar of uniform sectional area throughout its length hangs vertically from its upper…

A: given Length L=6 mdensity =8×10-5 N/mm3E=2×105 N/mm2

Q: By direct integration, determine the moments of inertia of the triangular area about the x- and…

A: The given figure is shown below:

Q: Calculate the product of inertia I,y for the angle shown in Figure. A. 66.6 x 10 mmª - 20 B. 5.16 x…

A:

Q: 61. The positive directions of the x, y, z axes are defined by the Cartesian unit vectors j, k, i…

A: for x the component of vector is 'i'   for y the component of vector is 'j'   for z the component of…

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

A:

Q: • Determine the Inertia (Ix) of the material shown from the X- Axis (not on the centroidal axis) 180…

A:

Q: 4.) Moment of Inertia About the x-axis Ix 5.) Moment of Inertia About the y – axis Iy 6.) Polar…

A:

Q: R is the resultant of the four forces A, B, C, and D. Find the magnitude of the angle e and the…

A:

Q: For the cross section shown below, y 1 4a 1 8a I 8a 4a |4ª| 10a 28a 8a ба Dimensions in millimeters…

A: Given  a= 11.66 mm

Q: Determine the slope at point D of the beam shown using the Virtual Work Method. (You can verify…

A: Find the reactions of the orginal beam:∑ MA=0RB10-1505=0RB=75KN∑ Fy=0RA+RB-150=0RA=75KNMoment…

Q: solving equations 5 and 6 actually gives you EIθB=60.69, EIθC=-210.52

A:

Q: Problem 5: Determine the location ỹ of the centroid C for a beam having the cross-sectional area…

A:

Q: Moment of inertia about x-axis (bottom-most) . Centroidal moment of inertia about x-axis lote: Unit…

A:

Q: 30 mm Print 30 mm 70 mm 140 mm C 30 mm 170 mm 30 mm Compute the moment of inertia abut the y' axis…

A:

Volumes

Volume usually is the dimensional quantity that involves the evaluation of any three-dimensional figure enfolded inside a closed space. The SI unit (International System of Units) of volume is m3 and the dimensional unit of volume is [L3]. For estimation of the volume of any figure, various formulae are used. Another application of volume includes the reference in the sound levels, the higher the sound intensity, the louder the sound heard, and hence, the larger the volume. The SI unit of sound volume is decibels (dB).