Calculate Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed.At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section ofelements 1 and 2 is 0.001 m? and that of element 3 is 0.002 m².Determine the reactions at nodes 1 and 4.50 kN122.3141 m1 m1 mReaction at node 1 = 30 kN. Rection at node 4 = 20 kNа)b)c)d)IIReaction at node 1 = 25 kN. Rection at node 4 = 25 kNReaction at node 1 = 42.5 kN. Rection at node 4 = 7.5 kNReaction at node 1 = 32.81 kN. Rection at node 4 = 17.19 kN

Draw the free-body diagrams of all three elements.

Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed. At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1 and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section of elements 1 and 2 is 0.001 m² and that of element 3 is 0.002 m². Determine the reactions at nodes 1 and 4. 50 kN 12 3 1 m 1 m 1 m ㅋ) b) Reaction at node 1 = 42.5 kN. Rection at node 4 = 7.5 kN Reaction at node 1 = 30 kN. Rection at node 4 = 20 kN Reaction at node 1 = 25 kN. Rection at node 4 = 25 kN c) d) %3D Reaction at node 1 = 32.81 kN. Rection at node 4 = 17.19 kN

Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed. At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1 and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section of elements 1 and 2 is 0.001 m² and that of element 3 is 0.002 m². Determine the reactions at nodes 1 and 4. 50 kN 12 3 1 m 1 m 1 m ㅋ) b) Reaction at node 1 = 42.5 kN. Rection at node 4 = 7.5 kN Reaction at node 1 = 30 kN. Rection at node 4 = 20 kN Reaction at node 1 = 25 kN. Rection at node 4 = 25 kN c) d) %3D Reaction at node 1 = 32.81 kN. Rection at node 4 = 17.19 kN

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.23P: A long, slender bar in the shape of a right circular cone with length L and base diameter d hangs...

See similar textbooks

Similar questions

A long, slender bar in the shape of a right circular cone with length L and base diameter d hangs vertically under the action of its own weight (see figure). The weight of the cone is W and the modulus of elasticity of the material is E. Derive a formula for the increase S in the length of the bar due to its own weight. (Assume that the angle of taper of the cone is small.)
A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
A column, pinned at top and bottom, is made up of two C 6 x 13 steel shapes (see figure) that act together. Find the buckling load (kips) if the gap is zero. Find required separation distance d(inches) so that the buckling load is the same in y and z directions. Assume that E = 30,000 ksi and L = 18 ft. Note that distance d is measured between the centroids of the two C shapes.
A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.
Determine the reactions of the structure, subjected under a trapezoidal distributed load as shown in the figure. Assume that the self-weight of the elements is negligible.
Determine the reaction of the supports in the figure below.
A horizontal L=1.2 m long mb=14 kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 23° angle with horizontal. A 24 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.
The composite beam shown in the figure is connected by a pin in b.Determine the forces in A, B and C using the equations of equilibrium.Draw the free body diagram
For the suspended load F = 637lb in the figure. Find the magnitude of the reaction of the patella at O.
The structure shown below consists of an arch AB and an elastic column BC. (Note: Joints where members meet can be treated as pin). Calculate the weight, W, that causes the column to buckle. Determine the support reactions corresponding to the weight from the previous question. Given:a = 3.430 m
The composite beam shown in the figure is connected by a pin.in b.Determine the moments at A, B, and C and their forces using the equations of equilibrium.Draw the free body diagram.
A steel bar with a uniform cross section is fixed at both ends. A load P = 2.5 kips is applied at point C. The bar has a cross-sectional area of 8 in2.Calculate the reactions at joints A and B and the displacement at joint C. Assume that the modulus of elasticity E = 29,000 ksi.