Determine web shear flows and stiffener loads for the tapered, idealized I-beam shown below at a distance x from the free end. The beam is subjected to a uniform distributed load w (N/m) per span of the beam. L SECTION A-A 2A, A, A, h, he A, A, 2A, A

Beam AB is supported as shown in the figure. Tie rod (1) is attached at B and C with double shear pin connections, while the pin at A is attached with a single shear connection. The pins at A, B, and C each have an ultimate shear strength of 57 ksi, and tie rod (1) has a yield strength of 33 ksi. A concentrated load of P = 14 kips is applied to the beam as shown. A factor of safety of 2.4 is required for all components. Determine: (a) the minimum required diameter for tie rod (1). (b) the minimum required diameter for the double shear pins at B and C. (c) the minimum required diameter for the single shear pin at A. 6.7 8 in. 3.8ft (2) 8.5ft

A beam ABC with an overhang from B toC supports a uniform load of 200 lb/ft throughout itslength (see figure). The beam is a channel section withdimensions as shown in the figure. The moment of inertiaabout the z axis (the neutral axis) equals 8.13 in4.(a) Calculate the maximum tensile stress σt andmaximum compressive stress σc due to theuniform load.(b) Find the required span length a that results inthe ratio of larger to smaller compressive stressbeing equal to the ratio of larger to smaller tensilestress for the beam. Assume that the totallength L =a + b = 18 ft remains unchanged.

BY THE WAY P=66 KN

A:Y 211O 2_531929016114... -> A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in Figure below. Axial loads are applied at the positions indicated. If P = 11 KN and the cross sectional area of each rod is 312.5 mm, determine the stress in each section. 4P Steel Bronze |Aluminum 609.6 mm 914.4 mm 762 mm

Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A

e (C) d (mm) P(kN) Q(N) Gallow (MPa) s(%) 20 18 80 12 40 1 (a) The structure shown in Figure Q3 is subjected to two point loads as shown. Determine (i) the axial force in rod BC and the reactions at pin A in terms of P. The value of angle, 0 is given in Table 3. the maximum load, P that can be applied if the average shear stress in each (ii) pin is not allowed to exceed 60 MPa. All pins are subjected to double shear and each has a diameter, d as given in Table Q3. (Hint: Consider only pin A and pin B.) RB 2 m-+-2 m P P Figure Q3 (b) A nylon thread is to be subjected to tension of Q (N). The modulus of elasticity, E of the thread is 3.2 GPa. Determine the required diameter of the thread, if (i) the maximum allowable normal stress is as given in Table 3; (ii) the length of the thread must not increase by more than s (%) as given in Table 3

5- The solid rod is subjected to the loading snown. Determine the state of stress at point A, and show the results on a differential volume element located at this point. (HINT: For 100 KN load, the bending will happen about a vertical axis passing through the centroid.) 100 KN 10 KN 200 mm 20 AN 30 mm

For the beam shown below, the ratio of stiffness coefficients k41 and k43 is Assume El is constant. -2m- B 4 3m 2

Jertical beam of the applied to a shown. Determine forces are cross section compressive BC of the the maximum Stresses bRam. tensile and portion. 9,25 kN in 45mm I10mm 30 mm 30mm 400mm 500mm