Consider the timber beam shown below. The beam is made out of southernyellow pine, with an allowable bending stress of ?all= 2700 psi. Themodulus of elasticity is E = 2,400 ksi. The maximum allowable deflection inthe beam is 0.25 inches.A1.5 kip/ft6 ft4 in.hB(a) What are the boundary conditions for this beam?(b) Determine the equation for the moment diagram using statics.(c) Determine the depth of the beam necessary to meet the allowablebending stress requirement.

Consider the timber beam shown below. The beam is made out of southern yellow pine, with an allowable bending stress of ?all= 2700 psi. The modulus of elasticity is E = 2,400 ksi. The maximum allowable deflection in the beam is 0.25 inches.

Consider the timber beam shown below. The beam is made out of southern yellow pine, with an allowable bending stress of ?all= 2700 psi. The modulus of elasticity is E = 2,400 ksi. The maximum allowable deflection in the beam is 0.25 inches.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Calculate the axial deformation of the Brass cylinder section (BC) shown in Figure 8. The…

A: Cross sectional area of steel, Cross sectional area of brass, Modulus of elasticity of steel,…

Q: A vinyl [E = 2.80 GPa; v = 0.41] block with width b = 50 mm, depth d = 100 mm, and height h = 270 mm…

A: E = 2.8 GPa = 2.8 × 103 N/mm2Poisson's ratio (μ) = 0.41Determine the change in the depth dimension…

Q: The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading…

Q: The rectangular wood beam is loaded as shown in the figure. What Is the maximum bending stress in…

A: Support reaction : Apply equilibrium condition ∑MA=0-RC×3+12×1+8×3×32=0RC=16…

Q: The composite beam shown in the figure is simply supported and carries a total uniform load of 40…

A: In composite beam, bending strain diagram is linear and strain compatibility conditions is used to…

Q: The compound bar carries axial loads as shown. Determine the maximum allowable value of P if the…

Q: An aluminum pipe must not stretch more than 0.05 in. when it is subjected to a tensile load. Knowing…

Q: g) the maximum bending stress in timber. Enter your answer in MPa to 2 decimal places.

Q: a a a

Q: 2. A steel bar (Es = 210 GPa) and an aluminum bar (EA = 70 GPa) are bonded together to form the…

A: To find the maximum stress in both material first we need to convert the composite section into…

Q: (Problem 2.126 from the text book) Two solid cylindrical rods are joined at B and loaded as shown.…

A: Given Esteel =29 ×106 Psi Ebrass = 15×106 psi Note 1 psi = 1 lb/ in2

Q: determine the modular ratio n. Enter your answer to 4 decimal places.

Q: A simply supported wood beam having a span length L = 12 ft is subjected to unsymmetrical point…

A: Select a suitable size for the beam from the table in Appendix G.

Q: The beam shown below is a composite beam with the cross section as shown in Figure 3. Segment A is…

A: Given uniformality distributed load = 0.9kip/ft. length = 15 ft.

Q: An SSTM A36 strucural steel beam 3.6 m long is placed between two rigid supports when the…

A: Steel structure :Structural steel is a type of steel that is used to make a range of building…

Q: A filched beam made of steel and timber has a section as shown in the figure. The permissible stress…

A: The beam is made of steel and timber.The permissible stress in steel is 100 MPa.The permissible…

Q: The cross-section of a composite beam made of aluminium and steel is shown in the figure. The moduli…

Concept explainers

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

Consider the timber beam shown below. The beam is made out of southern
yellow pine, with an allowable bending stress of ?all= 2700 psi. The
modulus of elasticity is E = 2,400 ksi. The maximum allowable deflection in
the beam is 0.25 inches.
A
1.5 kip/ft
6 ft
4 in.
h
B
(a) What are the boundary conditions for this beam?
(b) Determine the equation for the moment diagram using statics.
(c) Determine the depth of the beam necessary to meet the allowable
bending stress requirement.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below. The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm. Parameter Description Value UnitsL Beam length 250 mm a Width of the flange 80 mm d Height of the web 75 mm σ Yield stress 250 MPa You are tasked with ensuring the beam can withstand the applied loading. To do this you must: Create a two-dimensional contour plot of the bending and transverse shear stresses over the length and height of the beam (xy plane). You can use your results above to validate your approach. Note: perform these calculations in a program such as Matlab or Python. Provide the script.
Problem 2 A simply supported timber beam has a span of 6 m long and carries a uniformly distributed load of 28 KN/m over its entire span. This load already includes an allowance for beam weight. The timber is 80% stress grade Apitong. The allowable deflection is of the span. The properties of the Apitong are given. 240 i. E = 7.31 x10³ Mpa = 1.73 Mpa Which of the following gives the smallest dimension of the beam such that the allowable shear stress is not exceeded. a. 220 mm x 440 mm b. 150 mm x 300 mm C. 200 mm x 400 mm
A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below.The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm.Parameter Description Value UnitsL - Beam length 250 mma - Width of the flange 80 mmd - Height of the web 75 mmσ - Yield stress 250 MPaYou are tasked with ensuring the beam can withstand the applied loading. To do this you must:a) Calculate the centroid for the given cross-section. Your value of ?ത should be measured fromthe bottom of the section. Determine an expression for Q (statical moment of area) for thegiven shape. The expression(s) for Q should be in terms of the variable, y, measured from thebottom of the section. b) Create a graph of the shear and bending stresses at the fixed support (B) over the crosssection. The stresses should be plotted as a function of y, measured from the bottom of thesection.
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.-
Rod AB is made of a mild steel that is assumed to be elastoplastic with E = 200 GPa and oy =250MPA . After the rod has been attached to the rigid lever CD, it is found that end C is 6 mm too high. A vertical force Q is then applied at C until this point has moved to position C'. Determine the required magnitude of Q and the deflection ô, if the lever is to snap back to a horizontal position after Q is removed. 9-mm diameter 1.25 m 6 mm 0.7 m 0.4 m
12. Assume a uniformly load simply support beam with a rectangular cross section. The width of the beam is fixed by other design considerations. Determine the ratio between the difference in depth required for an aluminum beam compared to a steel beam in order to obtain the same maximum deflection. MOE aluminum can be taken as 10,000 ksi, for steel as 30,000 ksi. The maximum deflection for the beam is 5wl*/384EI Factoring the deflection equations we can conclude that for equal deflection Eala = Esls where subscripts a and s represent values for aluminum and steel. The depth of must be times the depth of the
2/3 700 mm 1) A typical cross-section of a properly reinforced con-crete beam is shown in the figure below. The material properties are summarized below. Use an effective depth of 600 mm. 500 mm Given: fy = 400 MPa = 0.65 75% = 0.85 E = 200 000 MPa Y See the Table 1 f' 48MPa - Bar : 3-30M a) Is the beam properly reinforced/over-reinforced/ balanced Determine the factored moment resistance? b) Consider the beam section "a) "above. However, due to embedded items, the reinforcing is raised by 65 mm, such that the effective depth is reduced to 585 mm (Draw the new cross-section view). Find the factored moment resistance considering the new reinforcement layout. c) Comment on the effect of the change in reinforcement location on the moment resistance d) Refer to the beam section from Part "b" above. The same contractor reported that, due to some problems related to batching, the actual 28-day concrete strength is reduced by 10%. What is the new F'c? Find the factored moment resistance for…
Q2: The simply supported beam shown as Figure 5. below is subjected to Loading as shown on the Figure. Using singularity function method. Find the maximum Lenght (L) so that the max. deflection is not greater than 30mm for the Beam.. The flexural rigidity (El) of Beam section El = 50*103 KN.m?2 “4m L Sm
Es=200 GPa and Et=30 GPa
Q2: The simply supported beam shown as Figure 5. below is subjected to Loading as shown on the Figure. Using integration method. Find the maximum Lenght (L) so that the max. deflection is not greater than 30mm for the Beam.. The flexural rigidity (El) of Beam section El = 50*10% KN.m? “4m e | Sm
Mechanics of Deformable Bodies The rectangular wood beam is loaded as shown in the figure. Determine the largest allowable magnitude of the load Pif the working stresses are 10MPa in bending and 1.2MPa in shear. P 8 kN/m 150 mm 1.0 m B 2m 250 mm
A wooden column with a square cross-section of length 4250 mm is pinned at both ends. The Young's modulus of elasticity for wood is 12 GPa and the allowable compressive stress is 12 MPa. A 300 kN axial compressive load must be supported by the column. Calculate the column's minimum cross-sectional area (in mm2) using a factor of safety of 2.0 in the computation of Euler's buckling load (Assume degree of column buckling as 1).