Absolute value of bending torque Max = ? kNm Width of the web (integer) = ? mm
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- Determine the maximum tensile and compressive bending stresses developed in the beam shown. The cross-section has the given properties. NA 1-35 x 10mm a. RA = b. RE= c. fb(c) = d. fb(T) = 80 mm 200 mm A 1.5m kN KN 5kN m MPa MPa B 1.5m SkN/m 2m 5KN n 2m 4Determine the design moment capacity of the beam with given properties below. bf = 550mm bw 350mm tf = 100mm %3D d = 370mm %3D d' = 100mm %3D fc' = 34.5 MPa fy = 400 MPa %3D As = 6-32mm bars a USE NSCP 2001, Mu = kN-m b. USE NSCP 2015, Mu = kN-m(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 metho
- 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 axisQ1/ The 15-mm diameter steel bolt is screwed tightly into a block at A. Suppose that the couple forces F causes the ends of the wrench to be displaced 3 mm, determine the maximum shear stress in the bolt. Assume that the wrench is rigid and modulus of rigidity of steel is 75 GPa. 150 mm i50 mm mniFIGORE %3D aluminum [E = 70 GPa] links (1) and H.W.3: In Figure (2) support rigid beam ABC. Link (1) has a cross-sectional area of 300mm2, and link (2) has a cross-sectional area of 450 mm2. For an applied load of P = 55 kN, determine the rigid beam deflection tad Nadhon hub at point B. (2) 4,000 mm (1) 2,500 mm 1,400 mm 800 mm P. FIGURE
- A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below.The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm.Parameter Description Value UnitsL - Beam length 250 mma - Width of the flange 80 mmd - Height of the web 75 mmσ - Yield stress 250 MPaYou are tasked with ensuring the beam can withstand the applied loading. To do this you must:a) Calculate the centroid for the given cross-section. Your value of ?ത should be measured fromthe bottom of the section. Determine an expression for Q (statical moment of area) for thegiven shape. The expression(s) for Q should be in terms of the variable, y, measured from thebottom of the section. b) Create a graph of the shear and bending stresses at the fixed support (B) over the crosssection. The stresses should be plotted as a function of y, measured from the bottom of thesection.The T-beam in the floor system has a slab thickness of 90 mm and supported by beams 6.5 m span. The beam is casts monolithically with the slab. The spacing of beams is 2 m on centers and width the web is 400 mm. The effective depth of the beam is 600 mm. It is reinforced at tension side with 8-28mm Φ bars. fc’ = 28 MPa, fy = 415 MPa 1. Which of the following most nearly give the effective width of the flange? a. 1565 mm b. 1305 mm c. 1275 mm d. 1625 mm 2. Which of the following most nearly gives the depth of compression block? a. 62.25 mm b. 52.86 mm c. 60.26 mm d. 58.29 mm 3. Which of the following gives the nominal moment capacity of the beam? a. 1461.25 kN/m b. 1156.36 kN/m c. 1163.15 kN/m d. 1172.58 kN/m3) The rigid link is supported by steel wire (1) with an unstretched length of 200 mm and cross-sectional area of 22.5 mm?. Member (2) is a short aluminum of initial length 50 mm and cross-sectional area of 40 mm?. The modulus of elasticity of the steel wire is 200 GPa and the aluminum block is 70 GPa. a) Draw the deflected shape of the rigid member and clearly label the deformation of members (1) and (2). b) Write the equilibrium and compatibility equations needed to solve the problem along with the supporting sketches. Hint: Be sure to carefully consider if the members are elongating or shortening; this must be represented mathematically. c) Calculate the internal forces in both axial members and clearly indicate tension or compression. [Ans. to Check: F2 = 535 N]
- Q4 (b) Figure Q4(a) shows a steel beam with length of 4 m that is supported by a steel column at point B. The steel column of AB has a rectangular cross section (40 mm× 70 mm). The ends are assumed to be pin connected. The yield stress of steel is o y 250 MPa. The Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 1.5. (i) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle.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.The stiffness matrix of the beam shown below is - 1. (2 В El 2EI 4m 8m A.