4.A beam showed in the figure, please calculate the bending stress f, ?and shear stressf, ?. M (Note: bending stress fp == and S=231in. ; shear stress S V d=16.97in. dtw and tw-0.585 in.) 10kips 10kips 2.0kips/ft 16.0ft 8.0ft
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Steel structure design
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- %3D QUESTION 2. An oblique bending moment of M = 5 kN.m is applied on the cross-section of an aluminum beam as shown in the figure. (a) Calculate the maximum values of compressive and tensile normal stresses on the crss section. (b) Define the orientation of the neutral axis and draw on the cross-sectionç. M = 5 kN.m 30° 10 mm 40 mm 10 mm A-40 mm--r: 30 mm 30 mm 10 mm 10 mm200mm Strain gauge F mun +100m 200mm- 4mm Strain gauge 4mm 12mm 12mm 4mm A small T-section is used in inverted positions as a beam and is shown in figure over a span of 400 mm. If due to the application of forces shown, the longitudinal strain gauge at F registers a compressive strain of 1500 microstraints, determine the magnitude of P. Take E = 200 GPa.The T section is shown in Figure below is the cross-section of a beam. The beam is subjected to a uniform distributed load = 4 kN/m. The N.A is located at 34.7 mm from the bottom and that IxA =10.64x106 mm. Determine (a) the maximum shearing suess (b) the shearing stress at 15 mm from the bottom face. Q2 %3D 20mm 4 kN/m 120mm A 34.7 mm 20mm lm 3m 1m 220mm TT
- 3. A beam with the cross section shown in Figure 3 is subjected to an internal moment of X6 kNm, acting at an angle of X7 degree from the z-axis. a. Calculate the centroid from the top of the beam section. b. Calculate the second moment of area in y and z axes. c. Determine the maximum bending stress on the beam. 150 mm 150 mm X6 kN.m 300 mm |X7 150 mm X6 1350 kNm X7 = 33 degrees = 150 mm 150 mmThe AB beam in the figure is mounted to the BC arm with a 30 mm diameter pin from the A end and the B end. Find the average shear stress (MPa) at pin B accordingly.Check whether the beam section whose loading condition, cross section and dimensions are given in the figure is sufficient please pay Also draw the shear stress diagram of the section next to the section. (σem=1200N/cm2 ; τem =120N/cm2)
- The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?A beam of rectangular cross-section 40 x 20 mm is loaded with tensile force 1000 N as shown in figure. A B BO Calculate the shear stress on oblique plane at 0 = 45° A 0.625 MPa C 0.31 MPa F D 1.25 MPaThe cross-sectional dimensions of the beam shown in the figure are a = 4.1 in., b= 5.1 in., d= 4.3 in., andt= 0.33in. The internal bending mornent about thez centroidal axis is M, = -4.15 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. b y |(ур.) |d a Answers: (a) OmaxT psi (b) Omax C= psi
- For the simply supported beam with the given cross-section, the shear force diagram has been plotted. Determine the maximum shear stress in section e-e of the beam. (A Note: the natural axis is located 65 mm above the toe of the cross-section and I = 5.8133×106 mm4) 160 mm |180 kN 20 mm - N.A B 100 mm 65 mm 500 mm 500 mm 30 mm 30 mm 20 mm V 90 kN Cross-section of the beam -90 kNThe cross-sectional dimensions of the beam shown in the figure are a = 4.6 in., b = 5.2 in., d = 4.1 in., and t = 0.32 in. The internal bending moment about the z centroidal axis is M₂ = -3.80 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the bear. (b) the maximum compression bending stress (a negative number) in the bearn. a b y (typ.) aProblem 23.1 The cantilever beam (fixed support at the far end) has a rectangular cross section and is subjected to the loading shown. Determine the state of stress at point B, summarized on a stress block element. 400 lb B. 1in. 2 in. 500 lb 2 ip 10 in. 1.5 in. 1.5 in. |