A rigid beam ABC supports a linear distributed load with maximum value q while supported by a pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables are shown below. The application is such that a factor of safety of at least 1.5 against yielding is needed at all times. a) Find the value of q required so that a horizontal displacement at point C equals 5mm. b) Find the safety factors of the cables. Are they within the requirement? Assume the cables remain elastic. For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB = 300 MPa. For cable DC: diameter = 20 mm, Ecable, DC = 70 GPa, Oy,Dc = 200 MPa. Note that points C and D are at the same vertical position. D 4 m q 3m 3m Figure 2.1. Rigid beam with distributed load

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A steel pipe (1) is attached to an aluminum pipe (2) at flange B. The pipes are attached to rigid supports at A and C, respectively 18 m 14 m Member (a) has a cross-sectional area A,-3,600 mm2, an elastic modul as a cross-sectional area A 3,600 mm2, an elastic modulus E-200 GPa, and an allowable has a cross-sectional area A2 2,o00 mm2, an elastie modulus E-70 GPa, and an allowable normal stress of 120 MPa. Determine the maximum load Pthat can be applied to fange B without exceeding either allowable stress

Determine the angle u between cables AB and AC 5 ft 600 Z 3 ft 6 ft 4 ft FAB= 70 lb A FAC = 60 lb 2 ft

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The idealize model for suspension bridge is shown in the figure. The truss are pin connected at a, on hinge support at b and on rolle at c. The parabolic cable is supported on towers at ac and at be. Determine the design diameter of the cable if the allowable tensile stress is 150 MPa.

The following steel circular bar (Es = 200 GPa) is divided into two segments. Segment 1 is tubular and segment 2 is solid. Determine the distance "x" so that the bar does not exceed a total deformation of 2.5 mm. The load P is equal to 25 kN, the diameter d is equal to 30 mm, and the length L is equal to 10 m.

Where is/are the location(s) of the maximum transverese shear stress? A simple I-beam is loaded as shown. 20 mm P KN PKN PKN Į Į -C B с D L/4 m L/4 m Midspan at point C Roller at E at the NA Section B at the top fiber Pin A at point C Midspan at point D Roller E at point D L/4 m L/4 m OE 20 mm 20 mm- 250 mm 150 mm 150 mm A

Determine the (internal Di, external De and total D) static indeterminacy of the followingstructures.

The question is in the picture. Thanks

The lap joint is connected together using a 32 mm diameter bolt. Determine the permanent shear strain in the shear plane of the bolt when the applied force P = 750 kN is removed. Note: The bolt is made from a material having a shear stress-strain diagram as follows T (MPa) A { 600 400 5 50 y (103 rad)

Q2/ Segments AB and BC of the assembly below are made from 6061-T6 aluminum. If a couple forces P = 5 kip are applied to the lever arm, Determine (a) the reactions at the fixed supports A and C and (b) the shear stress developed at a point located 1 in. from the center-line of the bar at a cross-section close to point A. 2.5 fi 2.5 ft 6 ft 4 in. 4 in.

A steel beam of I cross-section is simply supported on a span of 4m. Find the safe uniformly distributed load the beam can carry if the tensile stress is not to exceed (52.) N/mm2. Also find the maximum compressive stress