Q3) The beam system has a pin support at A, roller supports at D and F, an internal hinges at C. Find the deformations at C and E using the conjugate beam method. 10 kN D 100 kN-m -5 m-k-5 m--5 mtesm-k–10 m- Given: E = 200 GPa, IẠC = 100 x 10° mm, and ICF = 50 x 10° mm*. القطة شاشة
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- (2) 4 0 5 211 5 4 #9 4 "1 16 #3" ft-k fé = 3 ksi, M = 90 NWC. The section is cracked. Computer the bending stresses in the beam by using transformed-area methoA 20-mm-thick plate is bolted to the flange of a T-beam to form a 200 mm 20 mm built-up beam. If the beam is subjected to a vertical shear force of V = 200 kN, determine (a) the maximum shear stress in the beam, 10 mm 300 mm (b) the required spacing s of the bolts. The diameter of each bolt is 19 mm, and the allowable average shear stress in the bolts is 140 MPa. 10 mm2- A 2m COPPER BAR SUBJECTEO TO A TENSILE IS SUSPENDED FROM A LOAD IBO KN SUPPORTED BY TWO IDENTICAL PIN THAT S pOSIS AS SHON OF THE LOWER AFPLIED TENSILE POSTS SUPPORT THE STEEL DETERMINE THE TOTAL DEFORMATION END OF THE LOAD HINT: NOTE THAT THE STEEL PIN WHERE THE COFPER BAR IS ATTACHED. COPPER BAR DUE TO STEEL POST L=0.5m A= 4500mm E- 200GPA COPFER BAR L- am A= 4800 Mn E- l20 GPa 180KN
- 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)Two plates with a thickness of 35mm, width of 160mm, and length of 200mm are joined together by a pin with a diameter of 60mm. 200 mm 60 mm P 160 mm T 35 mm 35 mm 200 mm 1) For a Factor of Safety of 2, find the maximum load P that can be applied if the bearing strength of the plate is 250MPA and the shear strength of the pin is 100MPA. Suppose that P is 140KN, the Modulus of Elasticity is 200GP,, and the Poisson's ratio is 0.3. 2) Determine the change in length of each plate. 3) Determine the change in width of each plate. 4) Determine the change in thickness of each plate.QUESTION 2 The C83400-red-brass rod AB and 2014-T6- aluminum rod BC are joined at the collar B and fixed connected at their ends If there is no load in the members when T1 = 50'F, determine the average normal stress in each member when T2 = 120°F Also, how far will the collar be displaced? The cross-sectional area of each member is 1.75 in? 3 ft 2 ft
- A flexural member is fabricated from two flange plates 1/2x16 and a web plate 1/4x20, thusforming a built-up ‘I’ shape member. The yield stress of the steel is 50 ksi.a. Compute the plastic section modulus Z and the plastic moment Mp with respect to the majoraxis.b. Compute the section modulus S and the plastic moment My with respect to the major axisIn the steel structure shown a 6 mm diameter pin is used at C and 10 mm diameter pin is used at B. The ultimate shearing stress is 150 MPa at all the connections. What is the largest P that can be applied? Front view 160 mm 18 D -18 Top view 120mm C D 6 mm 8 Side viewA solid brass [E = 98 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 20 mm and segment (3) has a diameter of 15 mm. Assume L1 = 1.8 m, L2 = 1.2 m, L3 = 1.5 m, R = 38 kN, Q = 12 kN, and P = 22 kN. Determine:(a) the deformation of segment (2).(b) the deflection of joint D with respect to the fixed support at A.(c) the maximum normal stress in the entire axial member.
- For the plate shown, the distance d required to eliminate the flexural .effect at section a - a is 100 mm 200 mm d True O False O -300 mm- aQ2/ 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 solid brass [E = 109 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 27 mm and segment (3) has a diameter of 13 mm. Assume L1 = 1.8 m, L2 = 1.0 m, L3 = 1.7 m, R = 38 kN, Q = 14 kN, and P = 24 kN. Determine:(a) the deformation of segment (2). (b) Determine the axial deformation of section (2). (c) Determine the axial force in section (1) and section (3). (d) Determine the deflection of joint D (positive if downward) with respect to the fixed support at A. (e) Determine the maximum normal stress in the entire axial member. Give answer in MPa.