Consider a beam shown in the figure below. (Figure 1) Part A Express the internal shear in the beam as a function of x for 0
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A: As per the guidelines, I can solve only part (a). For part (b), please re-post in a separate post.…
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A: NOTE:- As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…
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Q: F L h Figure Q1 b) State if the cantilever beam is in plain stress or plain strain and explain…
A: given; lets take width of beam=b lets take reaction force=R
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Q: Q2: A simply supported beam shown in Figure (1-A) below, has the cross section shown in Figure (1-B)…
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A: given:l1l=0.65P=mg
Q: 3 kN 100 mm Тop 25 mm 4 kN/m 30 mm 30 mm 100 mm 40 mm B. 6 KN-m -2 m- 3 kN-m 1.5m 18 kN 3 kN
A: Note: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…
Q: The iron beam with E=120 GPa as shown in Figure 2, is subjected to a moment of 600 N.m. 25 mm 150 mm…
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Q: A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of…
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Q: 80 kN.m 30° QUESTION 3. An unsymmetric bending moment of M= M = 80 kN.m is applied on the…
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Q: The iron beam with E=120 GPa as shown in Figure 2, is subjected to a moment of 600 N.m. 25 mm 150 mm…
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Q: A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of…
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- A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the semicircle to the shear center. Also, plot a graph showing how the distance e (expressed as the non dimensional ratio e/r varies as a function of the ratio b/r. (Let b/r range from 0 to 2.)The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown in the figure. The width b of the beam is 8.0 in, the thickness I of the faces is 0.25 in., and the height hcof the core is 5.5 in. (total height h = 6.0 in). The moduli of elasticity are 10.5 × 106 psi for the aluminum faces and 12.000 psi for the foam core. A bending moment M = 40 kip-in. acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.A cantilever beam of length L = 2 m supports a load P = 8,0 kN (sec figure). The beam is made of wood with cross-sectional dimensions 120 mm x 200 mm. Calculate the shear stresses due to the load/"at points located 25 mm, 50 mm, 75 mm, and 100 mm from the top surface of the beam. From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam.
- A beam of wide-flange shape, W 8 x 28, has the cross section shown in the figure. The dimensions are b = 6.54 in., h = 8.06 in., fw = 0.285 in., and tf = 0.465 in.. The loads on the beam produce a shear force V = 7.5 kips at the cross section under consideration. Use center line dimensions to calculate the maximum shear stress raiaxin the web of the beam. Use the more exact analysis of Section 5,10 in Chapter 5 to calculate the maximum shear stress in the web of the beam and compare it with the stress obtained in part .Derive the following formula for the distance e from the centerline of the wall to the shear center S for the hat section of constant thickness shown in the figure: Also, check the formula for the special case of a channel section (a = 0).A thin, high-strength steel rule (E = 30 x 10ft psi) having a thickness t = 0.175 in. and length L = 48 in. is bent by couples Mcinto a circular arc subtending a central angle a = 40° (sec figure), What is the maximum bending stress emax. in the rule? By what percent docs the stress increase or decrease if the central angle is increased by 10%? What percent increase or decrease in rule thickness will result in the maximum stress reaching the allowable value of 42 ksi?
- A beam is constructed using two angle sections (L 102 × 76 × 6.4) arranged back to back, as shown in the figure. The beam is fixed al joint A and attached to an elastic support having a spring constant k = l750 kN/m al joint B. Assume only the beam is subjected to temperature increase AT = 45°C. Calculate the thermal stress developed in the beam and the displacement at point B. Assume that a = 12 X 10-6/?. Let E = 205 GPaA punch for making a slotted hole in ID cards is shown in the figure part a. Assume that the hole produced by the punch can be described as a rectangle (12 mm X 3 mm) with two half circles (r = 1.5 mm) on the left and the right sides. If P = 10 N and the thickness of the ID card is 1 mm, what is the average shear stress in the card?The cross section of a slit rectangular tube of constant thickness is shown in the figures. (a) Derive the following formula for the distance e from the centerline of the wall of the tube in the figure part a to the shear center S: (b) Find an expression for e if flanges with the same thickness as that of the tube arc added as shown in figure part b.
- A fixed-end beam AB of a length L supports a uniform load of intensity q (see figure). Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), obtain the reactions, shear forces, bending moments, slopes, and deflections of the beam. Construct the shear-force and bending-moment diagrams, Labeling all critical ordinales.The cross section of a slit circular tube of constant thickness is shown in the figure, Show that the distance e from the center of the circle to the shear center S is equal to 2r in the figure part a. Find an expression for e if flanges with the same thickness as that of the tube arc added, as shown in the figure part b.A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?