(c) Determine the location of the shear center O of a thin-walled beam of uniform thicknesshaving the cross section shown in Fig. Q2(c).Hint: Use polar coordinateIntegrate M₁ =сarc at x = rsin aAcross-sectional area, I =αFig. Q2(c)system and cos 20=1–2 sin² 0 .adF = ar dA, J = Aa² where A is theατAJ== T =22aVQItCand McVe. Centroid ofFig. Q3αΟ

Answered: Image /qna-images/answer/a811b02b-1bf0-4ca2-a8ae-b359add80f32.jpg

Determine the location of the shear center O of a thin-walled beam of uniform thickness having the cross section shown in Fig. Q2(c). Fig. Q2(c) Hint: Use polar coordinate system and cos 20=1-2 sin² 0. Integrate Mc = adF = ar dA, J=Aa² where A is the cross-sectional area, I = 2 arc at x = r J sin a α " T = VO It and McVe. Centroid of X α

Determine the location of the shear center O of a thin-walled beam of uniform thickness having the cross section shown in Fig. Q2(c). Fig. Q2(c) Hint: Use polar coordinate system and cos 20=1-2 sin² 0. Integrate Mc = adF = ar dA, J=Aa² where A is the cross-sectional area, I = 2 arc at x = r J sin a α " T = VO It and McVe. Centroid of X α

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An element is subject to the following normal and shear strains: Ex = -350 × 10-6 €y = 200 x 10-6 Yxy = 300 X 10-6 If the element were oriented at an angle of 15° counterclockwise: a) Determine the normal and shear strains €¸', €', and Yx'y'. b) The principal strains and the orientation upon which they act. c) The maximum in-plane shear strain and the orientation upon which they act.
Locate the centroid of the shaded area shown. Draw the figure with the centroid. (KINDLY FOLLOW THE SAMPLE SOLUTION PROVIDED)
0.01 in. - Undeformed Deformed 0.10 in. 0.004 in. FIG. P2.39 0.12 in.
Question 2 (Part1-2): Consider the same truss again here as shown below with the following connectivity table. Suppose that the origin of the coordinate system is fixed at node 1. Fina the values of cos(0) for each element. What is the summation of of I for all three elements. (Hint: find 1+l2 + l3). 100 mm (1) (2) (3) 150 mm 200 mm Elements Node (i) Node () (1) (2) (3) 3. 4 100mm 22
85 In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa for an element shown, subjected to above condition. The change in length of diagonal AB is μm. [Take G = 80 GPa] [Correct upto 2 decimal places] D 10 cm A 10 cm B () C
The stresses acting on element B (see figure part a) on the web of a wide-flange beam are found to be o = 11,000 psi in compression in the horizontal direction and oy = 2,600 psi in compression in the vertical direction (see figure part b). Also, shear stresses of magnitude Tzy = 3,200 psi, act in the directions shown. B Side Cross View Section (b) (а) Determine the stresses acting on an element oriented at a counterclockwise angle of 45" from the horizontal. Round your answers to one decimal place. psi psi psi
Rigid bar ABC is supported by two aluminum alloy (E = 10,000 ksi) rods as shown below. The horizontal distance between rods (1) and (2) is a = 120 in. Rod (1) has a length of L1 = 87 in. and a cross-sectional area of A1 = 0.65 in.2. Rod (2) has a length of L2 = 84 in. and a cross-sectional area of A2 = 1.15 in.2. Rigid bar ABC is to remain horizontal under a load of P = 25 kips. Determine the distance x (in inches rounded to the nearest tenths) from joint A to the location of load P so that bar ABC remains horizontal.
4
The figure shows a beam made from a material having an allowable tensile stress of 135 MPa and a compressive stress of 165 MPa. The couple M is applied to the beam in a plane forming an angle of 45° as shown in the figure. a) Determine the location of the centroid of the cross section b) Calculate the moments of inertia about the principal axes, I, and ly c) Determine the maximum allowable internal moment M that can be applied to the beam N M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 mm
Write the number of elements, nodes required and degree of freedom to solve following truss using FEM (Use the best node/element numbering; Do not need to solve it!) Would ANSYS be able to solve the structure with given Boundary Conditions (BC)? If not, what should be done and why?
B) The free ends of two cantilever beams each of length L and flexural rigidity El are joined together with a spring as shown in Fig. (6). The stiffness of the spring is K = Using the method of consistent deformations, determine the force in the spring due to a concentrated load W acting at center of the lower cantilever. www
An element in uniaxial stress is subjected to a tensile stress of 49mpa in x-direction. Determine the stress acting on element oriented at an angle of -27degree celcius from x-axis(clockwise direction)