3) The simply supported beam with the cross-section as shown supports a total uniformly distributed load of 4P and 2P and concentrated load P as shown in the figure. Determine the maximum allowable value of P if the allowable flexural stresses are limited to 35 MPa in tension and 150 MPa in compression respectively. 1m P B 4P ** potuty, :LI 175 3m 200 1m IC D 2P + 1m (Dimensions in mm)
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- The beam in the figures below has the cross section and loading indicated therein;determine for the most requested section, knowing that the allowable normal voltage is 1400kgf/cm².a) Determine Momentum andDevelop the structure efforts diagram and indicate the Most Requesting Section.b) Determine the area and Center of Gravity (G) of the structure.and Determine the Moment of Inertia Jz. c) Determine the maximum tensile and compression stresses, express the distribution of stresses in the figure and check the beam would you be able to do the calculations identifying a, b and c pleaseA simple beam of length L = 3.2m is subjected to a uniform load of 70 kN/m. The beam (see figure), made up of wood flanges and steel side plates, has the ff dimensions: wood flanges 75mm x 100 mm, and steel plates are 300 mm deep. Take the moduli of elasticity for the steel and wood to be 210 GPa and 10 GPa, respectively. What is the required thickness t of the steel plates if the allowable stresses are 120 MPa for the steel and 6.5MPa for the wood? Hint: transform steel into wood. (Express your answer in mm, up to 1 decimal place)A simply supported wood beam AB with span length L carries a uniform load of intensity q kN/m . The elastic modulus of the beam E=10Gpa=109N/m2; L=4m , q=8 kN/m, b=0.1m, h=0.5m . Calculate the maximum bending stress σmax and maximum bending strain εmax due to the load q. Note: the moment of inertia of the cross-sectional area I =bh3/12.
- Situation 17. A w12x79 of A573 Grade 60 (Fy-415MPa) steel is used as a compression member. It is 8m long pinned at the top fixed at bottom with additional lateral support at mid height in the weak direction. The properties are as follows Ag=14,500 sq.mm = 258.6x10^6 mm^4 Iy=84.375x10^6 mm^4 Calculate the critical slenderness ratio with buckling about strong axis. calculate the critical slenderness ration with buckling about weak axis. calculate the flexural buckling stress Fcr in MPAPLEASE ANSWER ASAP TY! A 2-m long cantilever beam carries a uniformly distributed load of 10KN/m over its entire length. The beam has a rectangular cross-section with dimensions 200 mm wide and 400mm high. a) Determine the maximum flexure stress in the beam (in MPa). b) Determine the moment of inertia about the neutral axis of the cross-section (in mm4) c) Determine the magnitude of bending moment at a section 0.5m from fixed support (in KN-m). d) Determine the absolute maximum bending moment along the length of the beam (in KN-m).A beam of T-section is supported and loaded as shown in the figure below. The cross section has width b = 2.5in., height h = 3in., thickness t = 0.5in, c1 = 2in, and c2 = 1in. Determine the maximum tensile and compressive stresses in the beam if I = 2.0833 in^4 .
- A flooring system consist of I-beam sections spaced at 3 m(center to center) and with simple spans of 6 m. The beams support a 200 mm thick slab. The flooring system is designed for a live load of 2400 N/m² as well as ceiling load of 750 N/m². The properties of the I-beam sections are : d = 352 mm, weight of beam = 440 N/m, moment of inertia , Ix = 0.0012 m⁴. Consider Fy = 248 MPa, E = 200000 MPa and wt. of concrete of 24 kN/m³. 1. Which of the following most nearly gives the uniform pressure acting on the slab? a. 6.2 kPa b. 7.95 kPa c. 5.2 kPa d. 6.10 kPa 2. Which of the following most nearly gives the total uniform load on the beam in kN/m? a. 19.71 kN/m b. 17.82 kN/m c. 24.29 kN/m d. 28.14 kN/m 3. Which of the following most nearly gives the initial stress on the beam due to deadload only assuming no shoring during construction? a. 12.1 MPa b. 8.91 MPa c. 10.4 MPa…A distributed loading of q(x) = (10x1/2 + 160x + 10) Pa acts over the top surface of the beam of span length 10m. The width of the surface loading on the beam is 0.5m. Sketch the loading and then determine the magnitude and location of the equivalent resultant force, FR.A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.201 in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=19 kips, Q=13 kips, L1=7 ft, L2=9 ft, and L3=9 ft. Determine(a) the stresses in all parts of the axial structure.(b) the deflections of joints B and C.
- The wide-flange pinned-end column shown in the figure carries two loads, a force acting at the centroid P₁ = 450kN and a force P₂ = 270kN acting at distance s = 100 mm, from the centroid. The column is an HE 240B shape with L = 4.2m, E = 200 GPa, and Oy = 290 MPa. (a) What is the maximum compressive stress in the column?The structural frame below is loaded as shown. Determine the required area for members AB, ED,CD, AF, and FG considering the material’sproperty below : E= 200GPa, Allowable Stress for Compression is 120MPa and 315MPa for tension. Note : all units in meters.A uniform structural tubing column AB with a height of 4 m has a cross section as shown in Figure Q4(b). Given E = 200 GPa, A = 2285 mm2, r = 37.5 mm, and I = 3.33 x 10-6 m4: - 1. Calculate the allowable centric load for the column and the corresponding normal stress using Euler’s Formula by considering the factor of safety of 2.0. 2. Assuming that the allowable load, as in Figure Q4(b)(i), is applied at a point 18.75 mm from the geometric axis of the column as per shown in Figure Q4(b)(ii). Figure Q4(b)(iii) shows the cross section of the column. Identify the horizontal deflection at the top of the column and the maximum normal stress in the column.