Date: 201810
Local time of day: 1201-1800
Location: ZZZ.Airport, US
Flight conditions: IMC
Weather elements / visibility: 1
Light: Daylight
Aircraft: B737-800
Operator: Air Carrier
Operating under: Part 121
Flight plan: IFR
Mission: Passenger
Flight phase: Initial Approach
ATC / advisory: Tower ZZZ
Aircraft component: Flight Dynamics Navigation and Safety
Component problem: Failed; Malfunctioning
Reporter organization: Air Carrier
Reporter function: Captain; Pilot Not Flying
Reporter qualification: Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine
Human factors: Workload; Distraction; Time Pressure; Communication Breakdown
Anomaly: ATC Issue All Types; Aircraft Equipment Problem Less Severe; Inflight Event / Encounter Weather / Turbulence
Detector: Person Flight Crew
When detected: In-flight
Result: Air Traffic Control Provided Assistance; Flight Crew Requested ATC Assistance / Clarification; Flight Crew Overcame Equipment Problem; Flight Crew FLC complied w / Automation / Advisory; Flight Crew Landed in Emergency Condition
Contributing factors: Aircraft; Human Factors; Procedure
Primary problem: Procedure

Narrative: This report is being submitted as an opportunity for general learning from a challenging event. On arrival into ZZZ; ATIS called for landing Runway XXL. Weather was 1000 FT overcast and one mile visibility with rain. Winds 180/13 Gust 24. Heavy rain showers were throughout the terminal area. Upon contacting Approach Control; they advised to expect Runway XYC. The frequency was extremely busy. We set up for an ILS to XYC. Approach cleared us direct to the initial fix for the RNAV Y XYC. We requested the ILS and they advised unable due to traffic conflict with ZZZ1 airport. We were cleared for the approach. We attempted to load and brief the approach. We crossed ZZZZZ but had not completed our briefings or a thorough check of the points. We were very rushed. I advised ATC that we were not ready for the approach and needed a vector off the approach to be re-sequenced. They asked how long we needed; we advised three minutes; and they vectored us off and back in appropriately. We were then set and ready for the approach. Once established on the approach and descending; the First Officers flight director failed with the 'FD' flag in view; the B autopilot clicked off. Two flight directors are required to fly this type of approach. I assumed control of the aircraft and we advised ATC that we needed to go around to work a navigation system failure issue. We went to VORTAC and held. Attempts to reset were unsuccessful. With the First Officer (F/O)'s flight director failed; the only approach we could fly would be a Captain flown ILS. On the RECALL check-in preparation for the ILS; we had a Master Caution for both Speed Trim Fail and Mach Trim Fail. We accomplished the QRH Checklists for these. Fuel was now at the point that we needed to fly the ILS without delay; or divert. Due to the traffic issue with ZZZ1; our failed systems; the weather; and our fuel state; I notified ATC to insure successful arrival at our destination. ATC vectored us expeditiously to final once we notified ATC; we flew the ILS Approach and landed uneventfully. The only 'error' on the crew's part was expecting the ILS in those weather conditions; and loading that approach. Had we loaded the RNAV we could have avoided the delay vectors; but would still have had the equipment failure.




Synopsis: 737 Captain reported the flight crew was encountering multiple navigation equipment failures at the same time ATC directed a late runway change.