A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b₁ = 13 in., d₁ = 1.0 in., b₂ = 1.0in., d₂ = 13 in., b3 = 7 in., and d3 = 1.0 in. The vertical distance from the bottom edge of the section to the centroid is 8.773 in. Themoment of inertia of the section about the z axis is 1111 in.4. Determine the maximum shear stress in the cross section if the internalshear force is V = 470 lb. Assume that the shear force V acts in the y direction.b₁y |Nail Ad₁Nb₂Answer:Nail Bb3d2d3Tmaxipsi

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Answered: A wooden beam is fabricated by nailing…

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 wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 20 in., d1 = 1.2 in., b2 = 1.2 in., d2 = 19 in., b3 = 10 in., and d3 = 1.2 in. The vertical distance from the bottom edge of the section to the centroid is 12.761 in. The moment of inertia of the section about the z axis is 4113 in.4. Determine the maximum shear stress in the cross section if the internal shear force is V = 440 lb. Assume that the shear force V acts in the y direction. The maximum shear stress will occur at the centroid. Cut a cross section along the centroidal z axis and calculate the first moment of area at this section.
A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 20 in., d1 = 1.2 in., b2 = 1.2 in., d2 = 19 in., b3 = 10 in., and d3 = 1.2 in. The vertical distance from the bottom edge of the section to the centroid is 12.761 in. The moment of inertia of the section about the z axis is 4113 in.4. Determine the maximum shear stress in the cross section if the internal shear force is V = 440 lb. Assume that the shear force V acts in the y direction. Part 1 The maximum shear stress will occur at the centroid. Cut a cross section along the centroidal z axis and calculate the first moment of area at this section.Answer:Qmax = in.3
Determine the dimension b so that the joint is as strong as the boards. ___________ inches in 2 decimal places.
The truss is made of three A-36 steel members, each having a cross-sectional area of 400 mm². Part A P = μÃ Value 0.8 m Determine the magnitude P required to displace the roller to the right 0.24 mm. Express your answer to three significant figures and include appropriate units. Submit Request Answer 0.8 m Units 5 KN ? 0.6 m
an 8 m long steel is pinned at the top and fixed at the bottom. the column is provided with lateral support 3m from the top in the weak direction. the properties of the column section are as follows: ix = 178.1x10^6 mm^4 ly = 18.8x10^6 mm^4 a = 8129 mm^2 fy = 400 mpa a. what is the critical effective slenderness ratio? %3d %3d b. what is the buckling stress of the column? c. calculate the critical load pc in kn
Consider the truss shown in (Figure 1). Take A = 0.0015 m² and E = 200 GPa for each member, and F = 17 kN. when the deflection is downward and positive value in the case when the deflection is upward. HA ? Ay2 = Value Units Submit Request Answer Part B Figure 1 of 1 Determine the force in member 4 of the truss. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. F 4 m 4 m. HA ? 7 94 = Value Units 3 m Submit Request Answer
A wooden beam is fabricated from one 2 × 10 and two 2 × 10 dimension lumber boards to form the double-tee cross section shown. The beam flange is fastened to the stem with nails. Each nail can safely transmit a force of 212 lb in direct shear. The allowable shear stress of the wood is 72 psi. Assume b1 = 10 in., b2 = 2 in., d1 = 2 in., d2 = 10 in.(a) If the nails are uniformly spaced at an interval of s = 3.4 in. along the span, what is the maximum internal shear force V that can be supported by the double-tee cross section?(b) What nail spacing s would be necessary to develop the full strength of the double-tee shape in shear? (Full strength means that the maximum horizontal shear stress in the double-tee shape equals the allowable shear stress of the wood.)
Q4: The aluminum block has a rectangular cross section and is subjected to an axial compressive force of 8 kip. If the 1.5-in. side changed its length to 1.500132 in., determine the Poisson's ratio. Assume modulus of elasticity (E) = 10 x 10^3 ksi 1.5 in.j 2 in. 8 kip- 8 kip 3 in.-
By internal couple method, what is the maximum stress on the steel side of the transformed section? Consider the beam section shown below. Express your final answer in ksi and use two decimal places. 24" 14 As=3 IN. ² SECTION E (STEEL) = 29 x 10³ K.5.1. E (CONC) = 3.2 x 10³ K.5.1. M = 9 ALLOW. f(STEEL) = 20 K.5.1. ALLOW. f (CONC)= 1.35 K.S.I.
3. The lower ends of the 3 bars in the figure are at the same level before the rigid homogenous 18M block is attached. Each steel bar has an area of 566 mm^2 and E=200GPa. For the bronze bar, the area is 866 mm^2 and E=83GPA. Find the stresses developed in each bar. Steel L=Im Bronze L=1.6 m Steel L=Im 18 Mg
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