A smooth sphere of weight Wis supported by a string fastened to a point C on sphere and point A on the smooth vertical wall. The sphere is in contact with the wall at point B as shown in figure. If the length of the string AC is equal to the radius of sphere, then sum of magnitude of tension (T) in the string and reaction (R) on the wall is W. (Round off two decimal places). B 51 Wall String Sphere Length of string AC = Radius

A smooth sphere of weight Wis supported by a string fastened to a point C on sphere and point A on the smooth vertical wall. The sphere is in contact with the wall at point B as shown in figure. If the length of the string AC is equal to the radius of sphere, then sum of magnitude of tension (T) in the string and reaction (R) on the wall is W. (Round off two decimal places). B 51 Wall String Sphere Length of string AC = Radius

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

Please show complete solutions. Considering EI is constant and the value of P is 425kN, calculate the following using Conjugate beam method : A. What is the value of the reaction at point B in the real beam? B. What is the value of the reaction at Point A in the conjugate beam? C. DISPLACEMENT AT C. D. DETERMINE SA SLOPE AT B.
Figure Q2(a) shows a cantilever beam that is subjected to a pure bending moment M = 3kN.m about the neutral axis (N.A) and the cross-section of a beam is shown in Figure Q2(b). Determine: (a) The moment of inertia about the neutral axis, InA. (b) The bending stress acting at point B and state whether it is in tension or compression. (c) The bending stress acting at point C (d) The maximum bending stress in the beam. M Figure Q2 (a) 20 mm B 150 mm C N 20 mm 150 mm 20 mm 250 mm Figure Q2 (b)
A cantilever beam is free of support at point A and is clamped at the point B, as shown in the Figure Q4 below. Calculate the support reaction force and moment for the non-uniformly distributed load, where w =74 N/m and L = 6 m. The downward direction is denoted as positive direction in force and the anti- clockwise direction is defined as positve in moment. For all numerical answers, answer to within 3 decimal places. A v y -L- Figure Q4: A cantilever beam under non-uniformly distributed load
Gate AB in Figure is hinged at A, has width b into the paper, and makes smooth contact at B. The gate has density ps and uniform thickness t. For what gate density ps, expressed as a function of (h, t, p, 0), will the gate just begin to lift off the botton B
Derive the equation of the resonance frequency of the uniform cantilever beam shown below by using method of conservation of energy. [Solution tips: Umax, maximum strain energy is equal to max. kinetic energy of vibrating body.] j'm dx ( M(x)² T. U = max El xp- 1/2
tate of Stress Caused by Combined Loadings Learning Goal: To use the superposition principle to find the state of stress on a beam under multiple loadings. The beam shown below is subjected to a horizontal force P via the rope wound around the pulley. The state of stress at point A is to be determined. 100 mm 15 mm 20 mm 200 mm 150 mm f 20 mm The dimensions are di - 2.15 m. d₂ = 0.5 m. -0.85 m d-285 mm and r= 150 mm The applied force has magnitude P=4.5 kN Part A-Support Reactions and Internal Loading C₁, C₂=₁ N=, V = ₁ M = Determine the support reactions C, and C, and the internal normal force, shear force, and moment on the cross-section containing point A. Express your answers, separated by commas, to three significant figures. ► View Available Hint(s) Submit Part B- Properties of the Cross-Section A= I= Q = Submit VAX IT VOC JA=.TA= What are the cross-sectional area, moment of inertia with respect to the neutral axis, and first moment of the area with respect to point A for the…
Below presents a continuous beam with A being fixed and B is pinned and C has a roller. Take: E = 200 GPa 1 = 8 x 106mm Load = 2 kN A 5m B Using the following method: 2 KN + 2m + 2m |- You are tasked to analyze the continuous beam by calculating the: > the displacement on the beam at B and C and > the reaction at the supports Matrix Structural Analysis Use the following steps as a guide to analyze the beam: Matrix Structural Analysis ✓ Produce Notations ✓ Establish the known displacements and known external load ✓ Produce Member Stiffness Matrix ✓ Displacement and Load ✓ Calculating the displacement Calculating the reaction at the support
A rectangular tetrahedron has six sides of length 9 cm. If a force of 600 N is applied along edge BC as As shown, determine the moment of the 600-N force about edge OA. A B 600 N
Mechanics of Deformable Bodies 80 N 200 mm 300 mm B The pipe shown in the figure has an inner diameter of 80 mm and an outer diameter of 100 mm. If its end is tightened against the support at A using a torque wrench at B, determine the shear stress developed in the material at the inner and outer walls along the central portion of the pipe when the 80-N forces are applied to the wrench. с 80 N
Figure Q2 shows a statically determinate plane truss subjected to a horizontal concentrated load at B. The truss is made using steel with Young's modulus of 205 GPa, and the cross section area for all members are constant. If the horizontal displacement at B is limited to 10 mm, determine the minimum cross section area required for the truss. The solution can be based on Method of Conservation Energy or Method of Virtual Work. (а) (b) Based on Q2(a), suggest an appropriate steel bar measurement.
3. Two beams are supported as shown in the diagram below, each 150mm x 200mm x 4 meters. Beam CD is a cantilever beam carrying a uniformly distributed load of 4 KN/m freely supported on beam AB. Beam AB is freely supported on each ends. E = 13.8 GPa for both beam. Neglect the weight of the beam. a. Compute the reaction at D. b. Compute the deflection at D. c. Compute the bending stress of beam CD. 4kN Im 4m 4m
PROBLEM2: The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation frequencies. At w=wn, up = 15 cm; at w=5w, u, = 0.06 cm. Estimate the damping ratio of the system. @= PROBLEM3: Find the response of the rigid bar shown in Figure 2 when the end P of the spring PQ is subjected to the displacement, x(t) = xoSin10t. Data: k 500, 1 = 1 m, m = 10 kg, xo = 1 cm. N = m 00000 Uniform bar, mass m - Li+ Figure 2-Rigid bar undergoing rotational motion