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Mechanics of Materials
Simplified Mechanics and Strength of Materials
89 SOLVED PROBLEMS
Question: 9.9
Compute the moment of inertia about the centroidal X-X axis of the built-up section shown in Figure 9.9. ...
Verified Answer:
For this situation, the two channels are positione...
Question: 15.8
Determine the required number and spacings for No. 3 Ustirrups for the beam shown in Figure 15.23. Use fc′ = 3 ksi [20.7 MPa] and fs = 20 ksi [138 MPa]. ...
Verified Answer:
In this case, the maximum critical design shear st...
Question: 15.7
Determine the required number and spacings for No. 3 Ustirrups for the beam shown in Figure 15.22. Use fc′ = 3 ksi [20.7 MPa] and fs = 20 ksi [138 MPa]. ...
Verified Answer:
As in Example 1, the shear values and correspondin...
Question: 15.6
Design the required shear reinforcement for the simple beam shown in Figure 15.21a. Use fc′ = 3 ksi [20.7 MPa] and fs = 20 ksi [138 MPa] and single U-shaped stirrups. ...
Verified Answer:
The maximum value for the shear is 40 kips [178 kN...
Question: 15.5
A T-section is to be used for a beam to resist positive moment. The following data are given: beam span = 18 ft [5.49 m], beams are 9 ft [2.74 m] center to center, slab thickness is 4 in. [0.102 m], beam stem dimensions are bw = 15 in. [0.381 m], and d = 22 in. [0559 m], fc′ = 4 ksi [27.6 MPa], ...
Verified Answer:
Determine the effective flange width (necessary on...
Question: 15.4
Using the same data as in Example 3, find the reinforcement required if the desired beam section has b = 10 in. [254 mm] and d = 18 in. [457 mm]. ...
Verified Answer:
The first two steps in this situation would be the...
Question: 15.3
The service load bending moments on a beam are 58 kip-ft [78.6 kN-m] for dead load and 38 kip-ft [51.5 kN-m] for live load. The beam is 10 in. [254 mm] wide, fc′ is 4000 psi [27.6 MPa], and fy is 60 ksi [414 MPa]. Determine the depth of the beam and the tensile reinforcing required ...
Verified Answer:
The first step is to determine the required moment...
Question: 15.2
A rectangular beam of concrete with fc′ of 3000 psi [20.7 MPa] and steel with fs of 20 ksi [138 MPa] has dimensions of b = 15 in. [380 mm] and h = 36 in. [910 mm]. Find the area required for the steel reinforcement for a moment of 200 kip-ft [271 kN-m]. ...
Verified Answer:
The first step in this case is to determine the ba...
Question: 15.1
A rectangular concrete beam with concrete having fc’ of 3000 psi [20.7 MPa] and steel reinforcement with fs = 20 ksi [138 MPa] must sustain a bending moment of 200 kip-ft [271 kN-m]. Select the beam dimensions and the reinforcement for a section with tension reinforcement only ...
Verified Answer:
With tension reinforcement only, the minimum size ...
Question: 13.2
The wood block shown in Figure 13.10a has its grain at anangle of 30° to the direction of a compression force of 1200 lb on theblock. Find the compression and shear stresses on a section that is parallel to the wood grain ...
Verified Answer:
Note that, as used in Figure 13.9, Θ = 60°. Then, ...
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