This figure shows a frame structure, made up of equilateral triangles, where 6 20,959 The cross sectional area of each member is 0.04 . Point A is fixed but allowed to rotate. Point G is allowed to rotated and is fixed in the direction only. The frame is made from steel, with Youngs modulus and Poisson's ratio: Using truss elements, create a finite element model of the structure. Use it to find the absolute value of the stress in member BC. Give your answer in pascals. Give your answer to O decimal places.

Experiment #5 Vertical Shear Force and Bending Moment in Beams Objective The objective of this experiment is to determine the vertical shear force and bending moment at a section of a simply supported beam under various loading conditions and compare the results with theoretical values based on equilibrium equations.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.50 in., the diameter of brass rod (2) is 2.00 in., and the diameter of steel rod (3) is 3.25 in. Determine the axial normal stress in each of the three rods. Assume P=8 kips. Q-4 kips, R-10 kips and S-25 kips. The normal stress is positive if tensile a negative if compressive.

The rigid structure BCD is supported as shown. Assume a 6.1 ft, b=4.9 ft,c-3.2 ft, d-1.7 ft, and 0-38°. Tie rod (1) is attached at A and C with double shear pin connections, while the pin at B is attached with a single shear connection: The pins at A, B, and C each have a diameter of 0.500 in. and an ultimate shear strength of 80 ksi, and tie rod (1) has diameter of 0.625 in, and a yield strength of 47 ksi. Determine the allowable load P that may be applied to the rigid beam' if an overall factor of safety of 2.2 is required.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.00 in., the diameter of brass rod (2) is 1.75 in., and the diameter of steel rod (3) is 3.00 in. Determine the axial normal stress in each of the three rods. Assume P = 8 kips, Q = 4 kips, R = 10 kips and S= 21 kips. The normal stress is positive if tensile and negative if compressive.

Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 2050 mm² and an allowable normal stress of 115 MPa. Bar (2) has a cross-sectional area of A2 = 2550 mm2 and an allowable normal stress of 115 MPa. Assume x₁ = 1.9 m, x2 = 3.5 m, y1 = 1.3 m, and y2 = 3.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.

The beam is supported by a pin at C and by a short link AB. Each pin has a diameter of 18 mm. Assume L = 2.0 m and 8= 25°. If the average shear stress in the pins at A, B, and C cannot exceed 135 MPa, determine the maximum distributed load Wmax that can be supported by the structure.

The steel beam ABCD shown is simply supported at A and supported at B and D by steel cables each having a diameter of 12 mm. A force of 20 kN is applied at point C. For steel E = 209 GPa. Determine the stresses in the cables and the deflections of points B, C and D if (a) Beam ABCD is considered to be rigid (b) Beam ABCD has a second-area moment of I = 800,000 mm².

Two wood beams each with an actual cross section of 2 X 4 in are loaded as shown. If there is light contact between the beams prior to load application, determine the support reactions after the 500-lb force is applied. Assume that only a vertical force is transmitted between the beams at point B.

The steel beam ABCD shown is supported at C as shown and supported at B and D by steel bolts each having a diameter of 8 mm. The lengths of BE and DF are 50 and 60 mm, respectively. All dimensions are given in millimeters. Prior to loading, the nuts are just in contact with the beam, which is horizontal. A force of 2 kN is applied at point A. For steel, E = 209 GPa. Determinethe stresses in the cables and the deflections of points A, B and D if (a) beam ABCD is considered to be rigid, and (b) beam ABCD is elastic with a second area moment of I = 200 mm^4