PROBLEM : SOLVE FOR THE CENTROID OF THE GIVEN SECTION BELOW AND THE CENTROIDAL MOMENT OF INERTIA ABOUT IT'S X AND Y AXIS. 50 cm 40 cm I 10 cm 30 cm 80 cm E 20 cm 105 cm

Q: Determine the slope and deflection at point B of the beam shown by doubu and anca moment method 10…

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Q: The beam with, cross-section shown, is subjected to the load shown. Using E=200 GPa, determine a.…

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Q: 6 kN 6 kN B D. 1,5 m 1,5 m 1,5 m

A: Find the reaction of the beam:

Q: Q1/ Determine the equation of the deflection curve for a cantilever beam AB subjected to a uniform…

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Q: 9 kN 4.5 kN/m E= 120 GPa 90 mm 20 mm A В 40 mm 30 mm 1m 1m-

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Q: 9-6 Find the deflection at point C for the beam. The loads F₂=9kN, q=15kN/m; and the moment of…

A: FBD: Fp=9 kN q=15 kN/m I=1660 cm4 E=2.1×105 MPa

Q: 18. Replace the two forces shown by a force-couple system with the force acting at O. 360 mm 270 mm…

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Q: Determine the horizontal deflection of point C in a pin-jointed frame subjected to a concentrated…

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Q: 9.3-17 The beam shown in the figure has a guided suppot at A and a roller support at B. The guided…

A: Draw FBD: Calculate Bending moment equation:

Q: A simply supported beam has a span length of 13 meters. It carries a concentrated load of 5 kN…

A: E = 200 GPa I = 70 × 106 mm4 Determine the deflection at the point where the uniformly distributed…

Q: Use any method to determine the vertical deflection at Point D.

A: Using load method of analysis to find deflection at point D in the vertically direction#####

Q: Figure (a) shows the cross section of a column that uses a structural shape known as W8 × 67…

A: Given Data: Details of I Section: The cross sectional area is A=19.7 in2 The moment of inertia with…

Q: A uniform horizontal beam is simply supported at it's left end x=0 but fixed at the other end X=L as…

A: A propped cantibeam is given with hinged end support.

Q: Determine the rotations at A, B, C, E and deflection at C, D and E in the beam shown in Figure given

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Q: Constant

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Q: From distance x = 0 to x =4m, the slope of the moment diagram is equal to 0.50x. The change in…

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

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Q: A prismatic uniform beam has a total length of 3L, a moment of inertia I, and a modulus of…

A: Part a -    Let x be any distance lies between B and A, from the point B -  Moment about this point…

Q: 4. For the beam loaded and supported as shown, using double integration, determine: a. The rotation…

A: EI = constant Determine  a. Rotation at the left support.  b. Deflection at midspan.  Using Double…

Q: Consider the cantilever beam in the figure, subject to a concentrated force P = 20kip at B and a…

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Q: 70kN 60KN 12KN/m 25KN.m. B C E A 6m 2m 2m 2m 21

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Q: noTE: HAKE AQUApTAGE of THE SymMTRY 10 KN 5 kp-m

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Q: Example 6\ The tether of the balloon exerts an 800-N force F on the hook at O. The vertical line AB…

A: Finding out components of force in X,Y and Z direction.

Q: For the area shown, do the following: a. Determine the centroid with respect to the indicated X and…

A: Given: A plane area as shown in the figure. To find: (1) Centroid of the plane area. (2) Moment of…

Q: The uniform bar AB is supported by a rope that passes over a frictionless pulley at C and a fixed…

A: Given: The coefficient of static friction is 0.3. The force applied to the bar is 20 N.

Q: 42. Determine the moment of Inertia of the quarter of the circle shown in the figure a. With respect…

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Q: Calculate the total elongation

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Q: 2. The rigid bars AB and CD are supported by pins at A and D. The vertical rods are made of aluminum…

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Q: load at free end B. Determine: a) the vertical deflection at B, b) the rotation at B (use either…

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Q: Mo B G-O P=100 N, Mo=g00Nimm, 1=800 mm, b=l0mm, h=20mm In its shape, P force and Mo moment act on…

A: Given Data: L=800 mm b=10 mm h=20 mm E=200 GPa P=100 N Mo=900 N.mm Cantilever beam.

Q: Find the smallest moment of inertia I required for the beam show so that its maximum deflection does…

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Q: A prismatic uniform beam has a total length of 4L, a moment of inertia I, and a modulus of…

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Q: Determine the horizontal and vertical deflections at D for the frame shown below (consider E, I…

A: Given: The value of EI is constant. Consider the figure,

Q: Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple…

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Q: TA prismatic beam fixed at both ends carries a uniformly distributed load. The ratio of bending…

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Q: Two forces 5 CN and 10 CN are acting at a point as shown in Figure 3. The 10CN and 5 CN make angle…

A: the applied force resolved in the component of the force in x and y direction corresponding to their…

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.