USE DOUBLE INTEGRATION AND AREA MOMENT METHOD.THANK YOU.The cross section of the wood beam is 4 in. by 8 in. Find thevalue of P for which the downward deflection at the midspan is0.5in. Use E = 1.5 x 10 6psi.2 kips/ft4 in.2 -10 n

Roof beams are the principal load-bearing structural members. Among other things, the beams support…

Answered: The cross section of the wood beam is 4…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A cantilever beam with the fixed support on the left is under the loadings below, w = 3wo. Note: wo, E (Young's modulus), I (moment of inertia) are constant. Click here to see all formulas a a Part A - una? EI Determine the slope of the beam at x = a is assuming w = 3wn. O -0.619 O -1.65 O -1.03 O -1.29 O -0.413 Submit Request Answer una4 X EI Part B - Determine the deflection of the beam at r = a is assuming w = 3wo O -4.62×10-2 O -0.132 O -6.60×10-2
For the beam shown, calculate the beam slope at A. Assume that a = 31 in., b = 103 in., c= 50 in., w = 0.21 kips/in., P = 12 kips, and El = 1220000 kip-in.². P W B b T Answer: 8A = a rad C с D
2. Determine the deflection at C of the beam given. If E = 220 GPa and I= 250 × 10° mm“. 5kNm C A, 3 m 3 m
that will limit the maximum deflection to 20 mm. Use E = 10 x 10 \Flgure P-645. A For the beam shown in Fig. P-646, determine the value of I %3D N/m?. Saut 600 N/m free end 1 m 2m 1 m Flgure P-646.
Determine the deflection and slope at the x distance from support A of the beam. Take E=70 GPa and I=45.7x10-8 m4 for magnitudes of M0=7,7, x=1,5 and L=4,3.
Answer the following:
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1620 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 190 kip-ft, P = 26 kips, LAB = 3.6 ft, LBC = 5.4 ft. %3D %3D P V. MA C LAB LBC Answer: (a) VA = in. (b) VB = in.
Determine the deflection at C of the beam given. If E=220 GPa and I=250×10⁶mm⁴.
Determine the smallest cross-sectional area A required for the members of the truss shown, so that the horizontal deflection at joint D does not exceed 10 mm. Use Castigliano's Second Theorem for the solution.
Hinge W B C D E Hinge 0.47 m 0.47 m 0.47 m 0.47 m 23 mm 14.7 mm A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 2.1 mm. Use E = 200 GPa.
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The cross section of the wood beam is 4 in. by 8 in. Find the value of P for which the downward deflection at the midspan is 0.5in. Use E = 1.5 x 10 °psi. 2 kipun 10 n