Current Attempt in ProgressThe calculation of the moment of inertia about an axis parallel to an axis through the centroid of an object that is calculated using thesquare of the distance between the two axes and the area of the object is done using the:O Parallel-Axis Theorem.O Perpendicular-Axis Theorem.O Radius of Gyration Theorem.O Centroidal Axis Theorem For an area A in the x-y plane, in the expression lz = lx+ ly, the term lz is the:O Product of inertia.O Polar moment of inertia.O Maximum rectangular moment of inertia or second moment of area.O Minimum rectangular moment of inertia or second moment of area.

Parallel Axis Theorem It may be defined as, any given body about an axis which is parellel to the…

Answered: Current Attempt in Progress The…

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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Using any Methods: (Double Integration, Conjugate Beam, Area Moment) Determine the deflection of the beam at midspan. 100 lb 80 lb A B + 2 ft - →e– 4 ft He– 3 ft→
Find θB in radians using conjugate beam method
Solve the value of angle x in the figure below.
Conjugate Beam Theorem 2: The of a point in the real beam is numerically equal to the moment at the corresponding point in the conjugate beam. O deviation O slope O moment O deflection Previous Next
Energy head (e.g., pressure head, kinetic head, head loss) has dimensions of force length. True False
The cross section of a rectangular hollow beam is as shown in figure. Determine polar moment of inertia of the section about centroidal axes. [Izz= 1,54,45334 mm4 ]
c) A thin elastic wire has its both ends tied to two fixed holders and is completely immersed in a flowing fluid. A study is to be carried out to determine the static deflection, 8, at the axis of the wire due to drag that exerted by the flowing fluid. Assume: 8 =f(1, d, p, µ, V, E) where dis a deflection in unit length, I is wire length, d is wire diameter, pis fluid density, u is fluid dynamic viscosity, V is fluid velocity, and E is elastic modulus of the wire. By using Buckingham Pi (t) theorem and basic dimensions system of MLT, predict a suitable set of a Pi (t) terms to study this problem. Use d, p, and V as the repeating variables. The unit of elastic modulus is given as Newton/m?.
Determine the deflection of the elastic line of the beam in the figure at point D. The beam is made of wood (E = 15 GPa) and the moment of inertia of the cross-sectional area is 4,000 cm ^ 4
A circular bar AB of polar moment of inertia I, and length L is fixed at both ends (see figure). A distributed torque g(x) acts along the length of the bar and varies linearly in intensity from zero at A to go at B. B q(x) = 90 Observe the following statements and mark the correct statement(s). Polar moment of inertia is given by I̟ = |rdA. %3D B Correct Option Polar moment of inertia is given by I, = |r´dA. Correct Option Fixed end torque T = Correct Option Fixed end torque T5 3
Please solve these Deflections problems using A. Conjugate beam method B. Area - Moment Method C. Virtual Work Method 1. Determine the deflection at point B of the beam shown in the figure. Values for the moment of inertia of each segment are indicated in the figure. Take E = 200 GPa Answer = 0.0025 m A В 500 N-m LAB = 8(10°) mm* IBC= 4(10°) mm* 4 m %3D - 3 m- 2. Determine the slope at point C of the beam in the figure. E = 200 GPa, I = 6(10°) mm*. Answer = 0.112 rad 20 kN В C D - 3 m---3 m A - ý m
Uniform streams of fluid cross the boundary of a control volume containing asolid object. Briefly explain how Newton’s 2nd and 3rd laws allow theresultant force vector acting on the body to be derived. Figure 2 shows asteady, uniform two-dimensional jet of liquid in the atmosphere impingingon a flat plate inclined at an angle q to the jet axis. The jet cross section areais A, and its velocity is u. The liquid density isr. It is assumed that there are noflow losses, and that all the streamlines end up parallel to the plate. Explainwhy the resultant force acts perpendicular to the plate, and show that itsmagnitude is:R . A.u cos
Q1) A force of 15 Newton parallel to the vector V=3i+4j is applied to a point that moves on a line from (2,3) to (6,5) assume that the distance is measured in meter. How much work is done?

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