Determine the moments of inertia Ī, and I y of the area with respect to the centroidal axes parallel and perpendicular to side AB,respectively, if a = 1.7 in.a1.0 in.0.5 in.3.8 in.0.5 in.A3.6 in.-B+

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Answered: Determine the moments of inertia Ī, and…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Determine the moments of inertia Ī, and Ī₁ of the area with respect to the centroidal axes parallel and perpendicular to side AB, respectively, if a = 2.3 in. 1.2 in. 5.0 in. 1.8 in. 0.9 in. 2.0 in. a The value of I The value of Iy is is in4 in 4 B
6. Locate the centre of gravity (centroid) and determine the moment of inertia for the solid section and IPE profile given below about the x-axis with respect to the centroid. Compare the results. COMMENTATE ON YOUR FINDINGS. 6 cm 36 cm 24 cm 6 ст 30 сm 30 сm
Consider the beam shown in (Figure 1). Suppose that a = 100 mm, b = 30 mm, and r = 200 mm. b 45° 45° b C 45% 45° Determine the moment of inertia for the beam's cross-sectional area about the x? axis passing through the centroid C of the cross section.
Determine the horizontal and vertical deflection of joint C of the truss in the given figure. In addition to the load at joint C, the temperature of member BD is subject to a temperature increase of 60°F. For all bars, E = 29,000 kips/in.2, A = 4.4 in.2, and a = 6.5 × 10-6 (in./in.)/°F. A B 80 kips k 15'- +++ 15'- The magnitude of the vertical component of displacement for joint Cis & CY= in. ↓ The magnitude of the horizontal component of displacement for joint Cis & CX= in. (Click to select) 20'
Determine the moment of inertia Ix with respect to its centroidal axis parallel to side AB. Where: h1 = 2.2 in; h2 = 1.5 in and b = 2.0 in NOTE: You need to calculate 1st the centroid Y-bar in order to determine the moment of Inertia Ix with respect to centroidal axis
Determine the moment of inertia of the beam’s cross-sectional area about the y axis
The moments of inertia about the x- and u-axes of the plane region are Ix = 2834 in4 lu = 5668 in respectively. If d =3 in and h =4.5 in, determine the area of the region. Area = A d
Determine the x-, y-, and z-coordinates of the mass center of the body constructed of uniform slender rod. 6.5" Answers: x= y- IN i i i 4.1" 5.5" in. in. in.
Determine the x-, y, and z-coordinates of the mass center of the body constructed of uniform slender rod. 5.5" Answers: x= y= Z- i 3.7" 5.7" in. in. in.
Problem Number 6. A simply supported beam has a length of 4m. The beam is carrying a 500N downward force 1m from the left support and a moment of 100N-m (counterclockwise) 3m from the left support. The product El = 1,000,000, where E is the modulus of elasticity in Pascals and I is the moment of inertia in meters to the fourth power. Analyze the beam using area moment method. 18. Determine the vertical deflection at the point where the 100N-m moment is located O a. 1.142mm O b. 0.742mm O c. 0.542mm O d. 0.342mm W
Answer close to 8.55
4. Given the figure, determine the moment of inertia about the x-axis. y-axis 6- X-axis 3

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Determine the moments of inertia Ī, and I y of the area with respect to the centroidal axes parallel and perpendicular to side AB, respectively, if a = 1.7 in. a 1.0 in. 0.5 in. 3.8 in. 0.5 in. A 3.6 in.- B+