3. A rigid bar AB is hinged at A and is supported by a rod CD and C. The rod is pin connected at D, as shown. Neglect deflections of the bar due to bending. Use E=210 GPa. a. What is the displacement of the loaded end B of the bar?

For the hollow shaft shown, the strength is 150 MPa. Determine 1. The internal reactions due to external loads Fe. 2. Factor of safety for this bar Di=10 mm Fe=40 kN Do=30 mm

A gymnast with a mass of m = 40 kg is hanging by one hand from the middle of a simply supported beam with a length L = 1.5 m. The beam has a cross-sectional area of A = 4 cm² and a Young's modulus of E = 15 GPa. a. What are the maximum deflection and maximum stress in the beam if it has a circular cross section? b. If it has a square cross section? c. If it has a hollow cross section with a wall thickness t = 0.5 cm? d. Which is the greatest and least and why? L L/2 F Cross Sections - O

The steel frame shown below (E = 29,000 ksi) is subjected to a single lateral force of 20 kips. The supports at D, E, and F can be assumed fully fixed, and the joints at A, B, and C are rigid. Conduct a moment distribution on the frame to determine the magnitude of the fixed-end moments at support E (in units of k-ft). Note: The moment of inertia of column CF is also 400 in“. A |= 600 in В | = 600 in C 20 kips 20 ft | = 400 in4 | = 400 in4 D E F 40 ft 40 ft

A steel bar with a circular cross section, AC, is built in at both ends (A and C) and is subjected to a 300N point load at B, 300mm from point A, as shown in the figure below. The bar has a diameter of 8 mm and the material has a Young's modulus of 200GPa. Determine the magnitude of the reaction force at A? O O O O 380 N 150 N Don't Know 210 N 300 N 300mm B 300 N 700mm

The rigid beam ACE is fixed by both sides as shown in figure, if F1 = 300 kN and F2 = 150 kN. Find the reactions Ra and Rb. Take S = 3.5 mm and E=200 (GPa):

Figure 2 shows a horizontal beam AB. It is pin-supported at end A and carrying a load Q at end B. The beam is supported at C by a pinned-end column. The column is a solid steel bar of square cross-section having length L and side dimension b = 60 mm. Based upon the critical load of the column, if the allowable load Q is given by 109 KN with the factor of safety n = 2.0 with respect to buckling, determine the length of the column. E = 200 GPa 2d Q Figure 2 (201

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1.2 p kN q kN/ m L = 14 m d = 4 m q = 100 kN/m p = 50 kN A В A Simply supported beam is Lm long and is subjected to a uniformly distributed load of q ķN/m applied for the full length of the beam and a concentrated load of p kN of the beam as shown. Draw the free body diagram of the given beam and find the support reactions.

The horizontal beam ABC shown in thefigure is supported by columns BD and CE. Thebeam is prevented from moving horizontally bythe pin support at end A. Each column is pinned atits upper end to the beam, but at the lower ends, supportD is a sliding support and support E is pinned.Both columns are solid steel bars (E = 30 x 106 psi)of square cross section with width equal to 0.625 in.A load Q acts at distance a from column BD.(a) If the distance a = 12 in., what is the criticalvalue Qcr of the load?(b) If the distance a can be varied between 0 and40 in., what is the maximum possible value ofQcr? What is the corresponding value of thedistance a?