Question

The wood beam described below applies to Questions 15 through 17. A 2x10 wood beam is to support a service dead load (including beam self-weight) of 50 lbs/ft and a service live load of 60 lbs/ft (note that the loads given are per foot and not per square ft). The beam is part of a series of adjacent parallel beams spaced 16 inches apart. Span length is 15 ft. Assume that lateral buckling is prevented. Wood species/grade is "Red Maple", No. 1. Moisture content is less than 19% (dry). This member's service temperature is not elevated. What is the design moment strength (M'.) in kip-in? do not check bearing stresses and do not check deflection Shear strength is covered under the next question.

Question 16 For the wood beam described in Question 15, what is the design shear strength of the beam (V.) in kips? Pay attention to the requested unit!
Question 17 For the wood beam described in Questions 15 and 16, is the beam structurally adequate?
No
Yes
Not known with the information given

Answer 1

1. Design moment = 30.83kip

2. Shear strength = 2.8kip

3. Yes beam is adequate.

Step-by-step explanation:

Length = 15ft = 180 inches

Dead load = 50

Live load = 60

1.2x50+1.6x60

= 60+96

= 156

= 13 lbs/inch

Area = 2x10

= 20in²

Modulus Zx = bd²/6

= 2x10²/6

= 33.33in³

Bending strength = 925

Shear strength = 210

1. Design moment = 33.33x925

= 30830.25

= 30.83kip

Shear strength = 2/3*20*210

= 2800

= 2.8kip

3. Yes beam is adequate

Maximum bending moment = 2/8*13*180 = 52.65

52.65>30.83

Maximum shear

13x180/2<2.83

1.17kip<2.83kip